This paper aims to develop a novel adaptive dynamic programming (ADP) based fault-tolerant control (FTC) framework for nonlinear systems, which can effectively handle actuator failures and full-state time-varying constraints while reducing resource consumption through a dynamic event-triggered mechanism (DETM). In order to deal with full-state time-varying constrained problems, a novel control barrier function (CBF) has been proposed that transforms the original system into an unconstrained system. To address unknown faults in the actuator, a fault observer is proposed that compensates for the observed faults. In addition, a new DETM is designed, and optimal control rules can be approximated by constructing a single-critic neural network (NN). A prioritized experience replay strategy based on recency is integrated with the empirical replay technique to relax the persistent excitation (PE) condition so that the weights are updated with more attention to the most recent post-weighting data in the updating process. Lyapunov theory is used to ensure that the nonlinear system state and the critic NN weight are uniformly ultimately bounded (UUB). The effectiveness of the proposed method is verified through simulation results.
{"title":"ADP-based dynamic event-triggered fault-tolerant control for nonlinear systems with actuator failures and full-state time-varying constraints","authors":"Chunbin Qin, Mingyu Pang, Zhongwei Wang, Suyang Hou, Qian Qiu","doi":"10.1016/j.cnsns.2026.109676","DOIUrl":"10.1016/j.cnsns.2026.109676","url":null,"abstract":"<div><div>This paper aims to develop a novel adaptive dynamic programming (ADP) based fault-tolerant control (FTC) framework for nonlinear systems, which can effectively handle actuator failures and full-state time-varying constraints while reducing resource consumption through a dynamic event-triggered mechanism (DETM). In order to deal with full-state time-varying constrained problems, a novel control barrier function (CBF) has been proposed that transforms the original system into an unconstrained system. To address unknown faults in the actuator, a fault observer is proposed that compensates for the observed faults. In addition, a new DETM is designed, and optimal control rules can be approximated by constructing a single-critic neural network (NN). A prioritized experience replay strategy based on recency is integrated with the empirical replay technique to relax the persistent excitation (PE) condition so that the weights are updated with more attention to the most recent post-weighting data in the updating process. Lyapunov theory is used to ensure that the nonlinear system state and the critic NN weight are uniformly ultimately bounded (UUB). The effectiveness of the proposed method is verified through simulation results.</div></div>","PeriodicalId":50658,"journal":{"name":"Communications in Nonlinear Science and Numerical Simulation","volume":"157 ","pages":"Article 109676"},"PeriodicalIF":3.8,"publicationDate":"2026-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145957175","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
This paper investigates the prescribed-time non-smooth distributed optimization problems (DOPs) with mixed constraints for multi-agent systems (MASs). First, a lemma is introduced to describe the relationship between any two vectors in a convex set and their elements in a normal cone, which plays a crucial role in the convergence analysis of the algorithm. Second, a non-singular prescribed-time distributed optimization algorithm (DOA) is proposed based on the time-varying transformation function, and the optimal solution of the DOP is obtained through the projection sub-gradient algorithm and the proximal operator algorithm. In particular, the proposed algorithm reduces the conservativeness that the objective function is strongly convex and smooth. Finally, the effectiveness and feasibility of the DOA are validated through numerical simulation, and the impact of the adjustable parameter on the convergence performance is discussed, along with a comparison to existing algorithms.
{"title":"Prescribed-time non-smooth optimization for multi-agent systems with mixed constraints","authors":"Xuening Xu , Zhiyong Yu , Haijun Jiang , Chunxia Zhu","doi":"10.1016/j.cnsns.2026.109696","DOIUrl":"10.1016/j.cnsns.2026.109696","url":null,"abstract":"<div><div>This paper investigates the prescribed-time non-smooth distributed optimization problems (DOPs) with mixed constraints for multi-agent systems (MASs). First, a lemma is introduced to describe the relationship between any two vectors in a convex set and their elements in a normal cone, which plays a crucial role in the convergence analysis of the algorithm. Second, a non-singular prescribed-time distributed optimization algorithm (DOA) is proposed based on the time-varying transformation function, and the optimal solution of the DOP is obtained through the projection sub-gradient algorithm and the proximal operator algorithm. In particular, the proposed algorithm reduces the conservativeness that the objective function is strongly convex and smooth. Finally, the effectiveness and feasibility of the DOA are validated through numerical simulation, and the impact of the adjustable parameter on the convergence performance is discussed, along with a comparison to existing algorithms.</div></div>","PeriodicalId":50658,"journal":{"name":"Communications in Nonlinear Science and Numerical Simulation","volume":"157 ","pages":"Article 109696"},"PeriodicalIF":3.8,"publicationDate":"2026-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145957185","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2026-06-01Epub Date: 2026-01-16DOI: 10.1016/j.cnsns.2026.109755
Deng Wang , Zupeng Jia
The Moment of Fluid (MOF) method is a widely used and accurate interface reconstruction method. It performs iterations to solve an implicit nonlinear optimization problem to obtain the optimal approximate interface. As far as we know, the current optimization algorithms employed in MOF methods all directly minimize the implicit objective function, and the interface reconstruction procedure has to be executed for each calculation of the objective function, which is very expensive. There have been numerous measures to improve the computational efficiency, accuracy and robustness of the MOF method, but we will achieve the improvements from a new perspective. In this paper, a very simple, efficient and accurate dynamic interpolation BFGS (DIBFGS) algorithm is proposed, based on the classical Broyden-Fletcher-Goldfarb-Shanno (BFGS) algorithm. The new algorithm introduces a dynamic interpolation function to approximate the implicit objective function during the optimization process. The dynamic interpolation function is explicit and the interpolation nodes utilized for constructing it are dynamically selected from a gradually expanding set of candidate interpolation nodes. The new algorithm minimizes the dynamic interpolation function instead of the original objective function, thus the number of original objective function calculations will be significantly reduced and the computational efficiency can be improved. Moreover, in previous MOF methods, the gradient of the objective function involved in the iterations are either estimated by finite difference approximation or derived analytically with complex analyses, both of which require interface reconstruction. On the contrary, our algorithm uses the analytical gradient of the interpolation function, which is also explicit and quite easy to calculate. Then the accuracy, convergence rate as well as robustness of the iteration process can be improved. Last but not least, our algorithm is very simple and easy to code. A variety of numerical tests collectively show that compared to the MOF method using BFGS algorithm, our new method can not only effectively reduce the number of original objective function calculations and computational time, but also improve the accuracy and robustness particularly in complex cases with large interface deformations.
{"title":"A very simple, efficient and accurate dynamic interpolation BFGS algorithm for three-dimensional moment of fluid method","authors":"Deng Wang , Zupeng Jia","doi":"10.1016/j.cnsns.2026.109755","DOIUrl":"10.1016/j.cnsns.2026.109755","url":null,"abstract":"<div><div>The Moment of Fluid (MOF) method is a widely used and accurate interface reconstruction method. It performs iterations to solve an implicit nonlinear optimization problem to obtain the optimal approximate interface. As far as we know, the current optimization algorithms employed in MOF methods all directly minimize the implicit objective function, and the interface reconstruction procedure has to be executed for each calculation of the objective function, which is very expensive. There have been numerous measures to improve the computational efficiency, accuracy and robustness of the MOF method, but we will achieve the improvements from a new perspective. In this paper, a very simple, efficient and accurate dynamic interpolation BFGS (DIBFGS) algorithm is proposed, based on the classical Broyden-Fletcher-Goldfarb-Shanno (BFGS) algorithm. The new algorithm introduces a dynamic interpolation function to approximate the implicit objective function during the optimization process. The dynamic interpolation function is explicit and the interpolation nodes utilized for constructing it are dynamically selected from a gradually expanding set of candidate interpolation nodes. The new algorithm minimizes the dynamic interpolation function instead of the original objective function, thus the number of original objective function calculations will be significantly reduced and the computational efficiency can be improved. Moreover, in previous MOF methods, the gradient of the objective function involved in the iterations are either estimated by finite difference approximation or derived analytically with complex analyses, both of which require interface reconstruction. On the contrary, our algorithm uses the analytical gradient of the interpolation function, which is also explicit and quite easy to calculate. Then the accuracy, convergence rate as well as robustness of the iteration process can be improved. Last but not least, our algorithm is very simple and easy to code. A variety of numerical tests collectively show that compared to the MOF method using BFGS algorithm, our new method can not only effectively reduce the number of original objective function calculations and computational time, but also improve the accuracy and robustness particularly in complex cases with large interface deformations.</div></div>","PeriodicalId":50658,"journal":{"name":"Communications in Nonlinear Science and Numerical Simulation","volume":"157 ","pages":"Article 109755"},"PeriodicalIF":3.8,"publicationDate":"2026-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145995134","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2026-06-01Epub Date: 2026-01-23DOI: 10.1016/j.cnsns.2026.109763
Jiang Li, Gui-Lan Yu
The effectiveness of a nonlinear energy sink (NES) is highly dependent on the initial energy level. Its vibration suppression efficiency rapidly diminishes if the initial energy deviates from a certain range. To address this issue, the present paper combines the advantages of bistability with single-sided vibro-impact, and proposes a serially connected single-sided vibro-impact bistable NES (SSSVI-BNES) designed for targeted energy transfer (TET). Compared with bistable NES (BNES) and single-sided vibro-impact NES (SSVI-NES), the SSSVI-BNES effectively resolves the energy sensitivity and energy reflux problems without increasing total mass by connecting the oscillators in series. It broadens the effective energy range and greatly reduces the root mean square (RMS) displacement and maximum displacement of the primary structure, and demonstrates robust control over structural stiffness variations. The parameters of the SSSVI-BNES are optimized using an improved adaptive genetic algorithm (IAGA), significantly improving the vibration suppression effect. The complete source code is available at our github repository: https://github.com/LJ384.
{"title":"Enhanced vibration suppression of structures using an optimized serial single-sided vibro-impact bistable NES","authors":"Jiang Li, Gui-Lan Yu","doi":"10.1016/j.cnsns.2026.109763","DOIUrl":"10.1016/j.cnsns.2026.109763","url":null,"abstract":"<div><div>The effectiveness of a nonlinear energy sink (NES) is highly dependent on the initial energy level. Its vibration suppression efficiency rapidly diminishes if the initial energy deviates from a certain range. To address this issue, the present paper combines the advantages of bistability with single-sided vibro-impact, and proposes a serially connected single-sided vibro-impact bistable NES (SSSVI-BNES) designed for targeted energy transfer (TET). Compared with bistable NES (BNES) and single-sided vibro-impact NES (SSVI-NES), the SSSVI-BNES effectively resolves the energy sensitivity and energy reflux problems without increasing total mass by connecting the oscillators in series. It broadens the effective energy range and greatly reduces the root mean square (RMS) displacement and maximum displacement of the primary structure, and demonstrates robust control over structural stiffness variations. The parameters of the SSSVI-BNES are optimized using an improved adaptive genetic algorithm (IAGA), significantly improving the vibration suppression effect. The complete source code is available at our github repository: <span><span>https://github.com/LJ384</span><svg><path></path></svg></span>.</div></div>","PeriodicalId":50658,"journal":{"name":"Communications in Nonlinear Science and Numerical Simulation","volume":"157 ","pages":"Article 109763"},"PeriodicalIF":3.8,"publicationDate":"2026-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"146047911","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2026-06-01Epub Date: 2026-01-08DOI: 10.1016/j.cnsns.2026.109677
Runqing Cao , Yixiang He , Zilong Guo , Qiao Ni , Huliang Dai , Lin Wang
This study introduces a novel periodic half-sine wave design for pipe conveying unsteady flows, presenting a potential approach for suppressing parametric resonances and enhancing its stability. The dynamical model is developed using the absolute nodal coordinate formulation (ANCF) method and validated through the finite element analysis and experiment. The influence of periodic wave number on vibration suppression is firstly examined. It is found that three half-sine waves design is identified to be the most effective configuration on suppressing vibration amplitude of the pipe system. Subsequently, effects of the wave peak on the static deformation, stability and natural frequency of the pipe with periodic design have been explored. Finally, the pre-buckling and post-buckling dynamical behaviors of the pipe are systematically investigated varying with the pulsating frequency. The findings reveal that the designed periodic configuration significantly enhances the critical flow velocity of the pipe, with larger initial peaks consistently corresponding to higher critical flow velocities. Regarding pre-buckling dynamical behaviors, the periodic pipe exhibits the first-order and subharmonic resonances with cyclic motions. There is an optimal wave peak value for the periodic pipe where the subharmonic resonance can be significantly suppressed. In the post-buckling state, an increasement in the wave peak is followed by reductions of the vibration amplitude due to evolutions from chaotic responses to limit cycle motions. The present study provides a valuable insight of configuration design for improving the stability and suppressing vibration amplitude of the pipe conveying unsteady fluid flows.
{"title":"Oscillation reductions of pipe conveying pulsating fluid based on periodic half-sine wave design","authors":"Runqing Cao , Yixiang He , Zilong Guo , Qiao Ni , Huliang Dai , Lin Wang","doi":"10.1016/j.cnsns.2026.109677","DOIUrl":"10.1016/j.cnsns.2026.109677","url":null,"abstract":"<div><div>This study introduces a novel periodic half-sine wave design for pipe conveying unsteady flows, presenting a potential approach for suppressing parametric resonances and enhancing its stability. The dynamical model is developed using the absolute nodal coordinate formulation (ANCF) method and validated through the finite element analysis and experiment. The influence of periodic wave number on vibration suppression is firstly examined. It is found that three half-sine waves design is identified to be the most effective configuration on suppressing vibration amplitude of the pipe system. Subsequently, effects of the wave peak on the static deformation, stability and natural frequency of the pipe with periodic design have been explored. Finally, the pre-buckling and post-buckling dynamical behaviors of the pipe are systematically investigated varying with the pulsating frequency. The findings reveal that the designed periodic configuration significantly enhances the critical flow velocity of the pipe, with larger initial peaks consistently corresponding to higher critical flow velocities. Regarding pre-buckling dynamical behaviors, the periodic pipe exhibits the first-order and subharmonic resonances with cyclic motions. There is an optimal wave peak value for the periodic pipe where the subharmonic resonance can be significantly suppressed. In the post-buckling state, an increasement in the wave peak is followed by reductions of the vibration amplitude due to evolutions from chaotic responses to limit cycle motions. The present study provides a valuable insight of configuration design for improving the stability and suppressing vibration amplitude of the pipe conveying unsteady fluid flows.</div></div>","PeriodicalId":50658,"journal":{"name":"Communications in Nonlinear Science and Numerical Simulation","volume":"157 ","pages":"Article 109677"},"PeriodicalIF":3.8,"publicationDate":"2026-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"146039462","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2026-06-01Epub Date: 2026-01-13DOI: 10.1016/j.cnsns.2026.109698
Jing Wang, Likui Wang, Qianling Wang
This paper investigates the problem of observer design for positive T-S fuzzy systems. Two methods are provided to design the observer. First, the augmented system matrices are divided into blocks, and the observer is designed by using these blocks with a switching strategy. Then, for a special case that output system matrices are the same, less conservative design conditions are obtained by applying singular value decomposition (SVD) and second-order forms of the system states. Finally, the relationship of the two methods is discussed and two examples are given to verify the effectiveness of the results in this paper.
{"title":"Fuzzy observer design for positive T-S fuzzy systems","authors":"Jing Wang, Likui Wang, Qianling Wang","doi":"10.1016/j.cnsns.2026.109698","DOIUrl":"10.1016/j.cnsns.2026.109698","url":null,"abstract":"<div><div>This paper investigates the problem of observer design for positive T-S fuzzy systems. Two methods are provided to design the observer. First, the augmented system matrices are divided into blocks, and the observer is designed by using these blocks with a switching strategy. Then, for a special case that output system matrices are the same, less conservative design conditions are obtained by applying singular value decomposition (SVD) and second-order forms of the system states. Finally, the relationship of the two methods is discussed and two examples are given to verify the effectiveness of the results in this paper.</div></div>","PeriodicalId":50658,"journal":{"name":"Communications in Nonlinear Science and Numerical Simulation","volume":"157 ","pages":"Article 109698"},"PeriodicalIF":3.8,"publicationDate":"2026-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145962061","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2026-06-01Epub Date: 2026-01-16DOI: 10.1016/j.cnsns.2026.109745
Jin You , Yan Li , Xiangyang Cao , YangQuan Chen
In this paper, diffusive representation (DR) is shown to be effective in addressing optimal consensus control problems in DPS-based multiagent systems (MASs) for both leader-following and leaderless cases, leading to significant advancements in meeting engineering requirements, facilitating cost savings and enhancing efficiency for optimal performance. First, the concept of DR approach is introduced to transform the original causal convolution pseudo-differential operator (PDO) into DPS, exhibiting infinite dimensional properties. Second, the proposed spatial product operation helps establish a theoretical system of the converted DPSs, including the linear representation for state space model, the Lyapunov functions and the reformulation of LQR optimal control problem with generalized performance indexes. Furthermore, the inverse optimality technique is conducted to develop distributed strategies for the cooperative control of the distributed parameter multiagent systems using DR approach, and derive the solution of globally optimal LQR problem. Finally, fractional-order multiagent systems (FOMASs) to both leaderless and leader-follower UAV formation control scenarios are presented to validate the effectiveness of the proposed results.
{"title":"Optimal consensus control for multiagent networks of distributed parameter systems","authors":"Jin You , Yan Li , Xiangyang Cao , YangQuan Chen","doi":"10.1016/j.cnsns.2026.109745","DOIUrl":"10.1016/j.cnsns.2026.109745","url":null,"abstract":"<div><div>In this paper, diffusive representation (DR) is shown to be effective in addressing optimal consensus control problems in DPS-based multiagent systems (MASs) for both leader-following and leaderless cases, leading to significant advancements in meeting engineering requirements, facilitating cost savings and enhancing efficiency for optimal performance. First, the concept of DR approach is introduced to transform the original causal convolution pseudo-differential operator (PDO) into DPS, exhibiting infinite dimensional properties. Second, the proposed spatial product operation helps establish a theoretical system of the converted DPSs, including the linear representation for state space model, the Lyapunov functions and the reformulation of LQR optimal control problem with generalized performance indexes. Furthermore, the inverse optimality technique is conducted to develop distributed strategies for the cooperative control of the distributed parameter multiagent systems using DR approach, and derive the solution of globally optimal LQR problem. Finally, fractional-order multiagent systems (FOMASs) to both leaderless and leader-follower UAV formation control scenarios are presented to validate the effectiveness of the proposed results.</div></div>","PeriodicalId":50658,"journal":{"name":"Communications in Nonlinear Science and Numerical Simulation","volume":"157 ","pages":"Article 109745"},"PeriodicalIF":3.8,"publicationDate":"2026-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145995136","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2026-06-01Epub Date: 2026-01-15DOI: 10.1016/j.cnsns.2026.109658
Yajing Li, Dan Peng, Yuechao Ma
This study focuses on the issue of memory-based dynamic event-triggered secure sliding mode control (SMC) for semi-Markov jump systems (S-MJSs) under false data injection (FDI) attacks and aperiodic denial-of-service (DoS) attacks. Firstly, a mode-dependent state observer is designed to obtain system state estimates. By incorporating historical transmission data and auxiliary dynamic variables into a dynamic-memory event-triggered mechanism (DMETM), the transmission efficiency can be optimized and bandwidth resources can be saved. Secondly, an observer-based SMC law is formulated based on event-triggered state information to guarantee that the system state trajectory can achieve finite-time reachability. Moreover, by constructing a mode-dependent piecewise Lyapunov-Krasovskii functional (LKF), the sufficient conditions are derived for the stochastic finite-time bounded (SFTB) realization of S-MJSs with H∞ performance under various network attacks and in the presence of uncertain or unknown transition probabilities (TPs). Through the designed collaborative scheme, the triggering parameters, controller and observer gain matrices can be derived. At last, two simulation examples are employed to verify the validity and practicality of the introduced approach.
{"title":"Finite-time sliding mode secure control with dynamic-memory event-triggered for semi-Markov jump systems subject to hybrid network attacks and general transition probabilities","authors":"Yajing Li, Dan Peng, Yuechao Ma","doi":"10.1016/j.cnsns.2026.109658","DOIUrl":"10.1016/j.cnsns.2026.109658","url":null,"abstract":"<div><div>This study focuses on the issue of memory-based dynamic event-triggered secure sliding mode control (SMC) for semi-Markov jump systems (S-MJSs) under false data injection (FDI) attacks and aperiodic denial-of-service (DoS) attacks. Firstly, a mode-dependent state observer is designed to obtain system state estimates. By incorporating historical transmission data and auxiliary dynamic variables into a dynamic-memory event-triggered mechanism (DMETM), the transmission efficiency can be optimized and bandwidth resources can be saved. Secondly, an observer-based SMC law is formulated based on event-triggered state information to guarantee that the system state trajectory can achieve finite-time reachability. Moreover, by constructing a mode-dependent piecewise Lyapunov-Krasovskii functional (LKF), the sufficient conditions are derived for the stochastic finite-time bounded (SFTB) realization of S-MJSs with <em>H</em><sub>∞</sub> performance under various network attacks and in the presence of uncertain or unknown transition probabilities (TPs). Through the designed collaborative scheme, the triggering parameters, controller and observer gain matrices can be derived. At last, two simulation examples are employed to verify the validity and practicality of the introduced approach.</div></div>","PeriodicalId":50658,"journal":{"name":"Communications in Nonlinear Science and Numerical Simulation","volume":"157 ","pages":"Article 109658"},"PeriodicalIF":3.8,"publicationDate":"2026-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145995146","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2026-06-01Epub Date: 2026-01-09DOI: 10.1016/j.cnsns.2026.109685
Zi Wang , Xianmin Zhang , Caichao Zhu
Uncertainty is a critical factor influencing the dynamic behavior of rolling element bearing-rotor systems throughout the entire operational lifespan. This study proposes a novel modeling approach for uncertain excitations based on an Interval Process Excitation Model (IPEM), which accurately captures time-varying and nonlinear characteristics. To represent transient uncertainties, a Chebyshev interval expansion method is employed, while an improved fourth-order Runge-Kutta scheme enables real-time updates of the system’s dynamic responses. The study further investigates the coupled effects of time-varying, load-dependent, and random disturbance force uncertainties on the dynamic behavior of a rolling element bearing–rotor system. The proposed approach offers a robust and interpretable basis for analyzing vibration boundaries and provides new insights into the performance of rotor systems under complex, bearing-induced uncertainties.
{"title":"Study on time-varying uncertainty and vibration characteristics of rolling element bearing-rotor system based on interval process excitation model","authors":"Zi Wang , Xianmin Zhang , Caichao Zhu","doi":"10.1016/j.cnsns.2026.109685","DOIUrl":"10.1016/j.cnsns.2026.109685","url":null,"abstract":"<div><div>Uncertainty is a critical factor influencing the dynamic behavior of rolling element bearing-rotor systems throughout the entire operational lifespan. This study proposes a novel modeling approach for uncertain excitations based on an Interval Process Excitation Model (IPEM), which accurately captures time-varying and nonlinear characteristics. To represent transient uncertainties, a Chebyshev interval expansion method is employed, while an improved fourth-order Runge-Kutta scheme enables real-time updates of the system’s dynamic responses. The study further investigates the coupled effects of time-varying, load-dependent, and random disturbance force uncertainties on the dynamic behavior of a rolling element bearing–rotor system. The proposed approach offers a robust and interpretable basis for analyzing vibration boundaries and provides new insights into the performance of rotor systems under complex, bearing-induced uncertainties.</div></div>","PeriodicalId":50658,"journal":{"name":"Communications in Nonlinear Science and Numerical Simulation","volume":"157 ","pages":"Article 109685"},"PeriodicalIF":3.8,"publicationDate":"2026-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"146039538","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2026-06-01Epub Date: 2026-01-12DOI: 10.1016/j.cnsns.2026.109710
Jinpeng Kuang , Yunfei Mu , Xianghui Qin , Yingchun Wang , Ruiwang Sun
This work focuses on the problem of observer-based preview sliding mode control (SMC) for discrete-time T-S fuzzy systems under Round-Robin (RR) protocol. For the phenomenon that the system is subject to RR protocol, a compensation strategy is proposed. A fuzzy observer is designed for original system. Meanwhile, an augmented system (AS) with discrete-time integrators and a previewable reference signal is developed, and then the tracking problem is transformed into the stability of ASs. A linear sliding surface and a preview SMC law are presented for ASs, which can guarantee the input-to-state stable (ISS) of the quasi-sliding motion and the reachability of the sliding region. Finally, the validity of the obtained theory is verified by an example.
{"title":"Observer-based sliding mode control for discrete-time T-S fuzzy systems under Round-Robin protocol via a preview target mechanism","authors":"Jinpeng Kuang , Yunfei Mu , Xianghui Qin , Yingchun Wang , Ruiwang Sun","doi":"10.1016/j.cnsns.2026.109710","DOIUrl":"10.1016/j.cnsns.2026.109710","url":null,"abstract":"<div><div>This work focuses on the problem of observer-based preview sliding mode control (SMC) for discrete-time T-S fuzzy systems under Round-Robin (RR) protocol. For the phenomenon that the system is subject to RR protocol, a compensation strategy is proposed. A fuzzy observer is designed for original system. Meanwhile, an augmented system (AS) with discrete-time integrators and a previewable reference signal is developed, and then the tracking problem is transformed into the stability of ASs. A linear sliding surface and a preview SMC law are presented for ASs, which can guarantee the input-to-state stable (ISS) of the quasi-sliding motion and the reachability of the sliding region. Finally, the validity of the obtained theory is verified by an example.</div></div>","PeriodicalId":50658,"journal":{"name":"Communications in Nonlinear Science and Numerical Simulation","volume":"157 ","pages":"Article 109710"},"PeriodicalIF":3.8,"publicationDate":"2026-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145957149","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
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