Pub Date : 2026-03-15Epub Date: 2026-01-18DOI: 10.1016/j.jfranklin.2026.108438
Tianping Zhang , Jiasong Zhu
In this article, the finite-time adaptive neural output-feedback control problem is investigated for a class of switched nonlinear systems with unmodeled dynamics. A high-gain observer is constructed to estimate the system states. Meanwhile, the incorporation of radial basis function neural networks (RBFNNs) facilitates the approximation of unknown continuous nonlinear functions. By constructing independent dynamic signals for different subsystems, the impact of unmodeled dynamics on system performance is effectively suppressed. By integrating the command-filtered backstepping technology and the common Lyapunov function (CLF) method, a finite-time adaptive control algorithm is proposed. Furthermore, using the dynamic surface control (DSC) method, it is proven that all signals of the switched system are semi-globally practically finite-time stable (SGPFS) under arbitrary switching, and the tracking error can converge to a small vicinity surrounding the origin within finite time. Finally, the reliability of the proposed control strategy is verified by means of two simulation examples.
{"title":"Finite-time adaptive neural output-feedback control of uncertain switched nonlinear systems","authors":"Tianping Zhang , Jiasong Zhu","doi":"10.1016/j.jfranklin.2026.108438","DOIUrl":"10.1016/j.jfranklin.2026.108438","url":null,"abstract":"<div><div>In this article, the finite-time adaptive neural output-feedback control problem is investigated for a class of switched nonlinear systems with unmodeled dynamics. A high-gain observer is constructed to estimate the system states. Meanwhile, the incorporation of radial basis function neural networks (RBFNNs) facilitates the approximation of unknown continuous nonlinear functions. By constructing independent dynamic signals for different subsystems, the impact of unmodeled dynamics on system performance is effectively suppressed. By integrating the command-filtered backstepping technology and the common Lyapunov function (CLF) method, a finite-time adaptive control algorithm is proposed. Furthermore, using the dynamic surface control (DSC) method, it is proven that all signals of the switched system are semi-globally practically finite-time stable (SGPFS) under arbitrary switching, and the tracking error can converge to a small vicinity surrounding the origin within finite time. Finally, the reliability of the proposed control strategy is verified by means of two simulation examples.</div></div>","PeriodicalId":17283,"journal":{"name":"Journal of The Franklin Institute-engineering and Applied Mathematics","volume":"363 5","pages":"Article 108438"},"PeriodicalIF":4.2,"publicationDate":"2026-03-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"146172505","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"计算机科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2026-03-15Epub Date: 2026-02-08DOI: 10.1016/j.jfranklin.2026.108484
Yong Wei, Wen Qin, Mouquan Shen
This paper investigates synchronization for complex networks with mismatched quantization inputs via an anti-disturbance intermittent control scheme. A proportional-integral intermediate observer is employed to reconstruct states and disturbances. An intermittent protocol consisting of two dynamic thresholds is designed to reduce energy consumption. An intermittent control strategy is constructed to actively compensate quantization errors and external disturbances. Based on Finsler’s lemma and the vertex separation method, two sufficient criteria are built in terms of linear matrix inequalities such that the estimation error system is uniformly ultimately bounded and the synchronization error system is bounded. The priority of the proposed method is demonstrated via a Chua’s circuit system.
{"title":"Anti-disturbance synchronization of complex networks with mismatched quantization input via aperiodically intermittent control","authors":"Yong Wei, Wen Qin, Mouquan Shen","doi":"10.1016/j.jfranklin.2026.108484","DOIUrl":"10.1016/j.jfranklin.2026.108484","url":null,"abstract":"<div><div>This paper investigates synchronization for complex networks with mismatched quantization inputs via an anti-disturbance intermittent control scheme. A proportional-integral intermediate observer is employed to reconstruct states and disturbances. An intermittent protocol consisting of two dynamic thresholds is designed to reduce energy consumption. An intermittent control strategy is constructed to actively compensate quantization errors and external disturbances. Based on Finsler’s lemma and the vertex separation method, two sufficient criteria are built in terms of linear matrix inequalities such that the estimation error system is uniformly ultimately bounded and the synchronization error system is bounded. The priority of the proposed method is demonstrated via a Chua’s circuit system.</div></div>","PeriodicalId":17283,"journal":{"name":"Journal of The Franklin Institute-engineering and Applied Mathematics","volume":"363 5","pages":"Article 108484"},"PeriodicalIF":4.2,"publicationDate":"2026-03-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"146172504","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"计算机科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2026-03-15Epub Date: 2026-02-03DOI: 10.1016/j.jfranklin.2026.108454
Haoran You, Sulan Li, Xuechao Duan, Wei Zhang
This paper addresses the full-state constrained fixed-time trajectory tracking problem of a stratospheric airship subject to input saturation and external disturbances. By combining dynamic surface control (DSC) technique with fixed-time stability theory, a novel full-state constrained fixed-time dynamic surface controller (FCFT-DSC) is designed, which inherently avoids the computation of the virtual control law derivatives. A constraint transformation function is introduced to convert the original system into an unconstrained one. Moreover, a filtering-error estimator is proposed for the DSC, ensuring that filtering error converges to zero. Theoretical analysis proves that the proposed control algorithm can achieve fixed-timely uniformly ultimately bounded stabilization, and all the tracking errors remain within the specified constrained bounds. Additionally, a Predefined-Time Sliding Mode Observer (PTSMO) is employed to address external disturbances and input saturation within a user-defined settling time Tc. Finally, simulation results are given to illustrate the effectiveness of the proposed control scheme.
{"title":"Full-state constrained fixed-time trajectory tracking control for stratospheric airships with actuator saturation and external disturbances","authors":"Haoran You, Sulan Li, Xuechao Duan, Wei Zhang","doi":"10.1016/j.jfranklin.2026.108454","DOIUrl":"10.1016/j.jfranklin.2026.108454","url":null,"abstract":"<div><div>This paper addresses the full-state constrained fixed-time trajectory tracking problem of a stratospheric airship subject to input saturation and external disturbances. By combining dynamic surface control (DSC) technique with fixed-time stability theory, a novel full-state constrained fixed-time dynamic surface controller (FCFT-DSC) is designed, which inherently avoids the computation of the virtual control law derivatives. A constraint transformation function is introduced to convert the original system into an unconstrained one. Moreover, a filtering-error estimator is proposed for the DSC, ensuring that filtering error converges to zero. Theoretical analysis proves that the proposed control algorithm can achieve fixed-timely uniformly ultimately bounded stabilization, and all the tracking errors remain within the specified constrained bounds. Additionally, a Predefined-Time Sliding Mode Observer (PTSMO) is employed to address external disturbances and input saturation within a user-defined settling time <em>T<sub>c</sub></em>. Finally, simulation results are given to illustrate the effectiveness of the proposed control scheme.</div></div>","PeriodicalId":17283,"journal":{"name":"Journal of The Franklin Institute-engineering and Applied Mathematics","volume":"363 5","pages":"Article 108454"},"PeriodicalIF":4.2,"publicationDate":"2026-03-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"146172567","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"计算机科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2026-03-15Epub Date: 2026-02-02DOI: 10.1016/j.jfranklin.2026.108460
Chunyu Zhang , Ting Wang , Tao Li , Zehui Mao
This paper proposes a low-complexity prescribed performance tracking control strategy for unmanned autonomous helicopter (UAH) attitude system under external disturbance and attitude angle constraint. Firstly, an improved boundary protection algorithm (IBPA) is proposed to generate safe attitude angles that satisfy time-varying boundary constraints, and the generated angles are subsequently employed as the reference signals for achieving safe tracking. Secondly, to decrease heavy dependence on high observer gains in existing second-order disturbance observers (SODOs) for accurate estimations, this paper integrates state prediction error into the structure of traditional SODO, enabling more efficient estimation even under low gains. Thirdly, by using disturbance estimation, an anti-disturbance low-complexity prescribed performance controller is proposed to realize the desired control target, which features a simplified structure and effectively reduces computational burden. Fourthly, the bounded stability for the closed-loop error system is rigorously analyzed using Lyapunov theory, and a co-design method of the controller and observer is presented. Finally, the effectiveness and superiority of the proposed control scheme are validated by using a simulated example.
{"title":"Low-complexity prescribed performance tracking control for attitude system in unmanned autonomous helicopter under external disturbance","authors":"Chunyu Zhang , Ting Wang , Tao Li , Zehui Mao","doi":"10.1016/j.jfranklin.2026.108460","DOIUrl":"10.1016/j.jfranklin.2026.108460","url":null,"abstract":"<div><div>This paper proposes a low-complexity prescribed performance tracking control strategy for unmanned autonomous helicopter (UAH) attitude system under external disturbance and attitude angle constraint. Firstly, an improved boundary protection algorithm (IBPA) is proposed to generate safe attitude angles that satisfy time-varying boundary constraints, and the generated angles are subsequently employed as the reference signals for achieving safe tracking. Secondly, to decrease heavy dependence on high observer gains in existing second-order disturbance observers (SODOs) for accurate estimations, this paper integrates state prediction error into the structure of traditional SODO, enabling more efficient estimation even under low gains. Thirdly, by using disturbance estimation, an anti-disturbance low-complexity prescribed performance controller is proposed to realize the desired control target, which features a simplified structure and effectively reduces computational burden. Fourthly, the bounded stability for the closed-loop error system is rigorously analyzed using Lyapunov theory, and a co-design method of the controller and observer is presented. Finally, the effectiveness and superiority of the proposed control scheme are validated by using a simulated example.</div></div>","PeriodicalId":17283,"journal":{"name":"Journal of The Franklin Institute-engineering and Applied Mathematics","volume":"363 5","pages":"Article 108460"},"PeriodicalIF":4.2,"publicationDate":"2026-03-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"146122636","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"计算机科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2026-03-01Epub Date: 2026-01-05DOI: 10.1016/j.jfranklin.2025.108389
Fang Han , Xiaosheng Zhou , Ming Chi
This study investigates the impact of various networking elements and queue management systems on the performance of Network Control Systems (NCSs) within the framework of nonlinear dynamics and complex systems. By focusing on the performance limitations imposed by White Gaussian Noise (WGN) in both forward and feedback pathways, as well as the influence of codec and queuing systems in feedback channels, we explore the intricate interplay between network-induced constraints and the nonlinear dynamics of NCSs. Utilizing queuing models, we analyze how queuing architectures affect the efficiency of NCSs under limited data availability, emphasizing the emergent behaviors characteristic of complex systems. Through internal and external factorization, along with selective disintegration methods and spectral partitioning techniques, we derive the performance expression of NCSs. Our findings reveal that the system’s effectiveness is governed by its intrinsic nonlinear dynamics, such as the presence of unstable points, Non-Minimum Phase (NMP) points, and their spatial orientation, as well as by network-specific factors, including codec types and WGN. These results underscore the complex, interdependent nature of NCSs as nonlinear dynamical systems operating within networked environments. Finally, the theoretical insights are validated through three distinct simulation experiments, demonstrating the robustness and applicability of our approach in real-world scenarios.
{"title":"Best performance study of nonlinear dynamics systems with network analysis over multiple communication constraints","authors":"Fang Han , Xiaosheng Zhou , Ming Chi","doi":"10.1016/j.jfranklin.2025.108389","DOIUrl":"10.1016/j.jfranklin.2025.108389","url":null,"abstract":"<div><div>This study investigates the impact of various networking elements and queue management systems on the performance of <em>Network Control Systems</em> (NCSs) within the framework of nonlinear dynamics and complex systems. By focusing on the performance limitations imposed by <em>White Gaussian Noise</em> (WGN) in both forward and feedback pathways, as well as the influence of codec and queuing systems in feedback channels, we explore the intricate interplay between network-induced constraints and the nonlinear dynamics of NCSs. Utilizing queuing models, we analyze how queuing architectures affect the efficiency of NCSs under limited data availability, emphasizing the emergent behaviors characteristic of complex systems. Through internal and external factorization, along with selective disintegration methods and spectral partitioning techniques, we derive the performance expression of NCSs. Our findings reveal that the system’s effectiveness is governed by its intrinsic nonlinear dynamics, such as the presence of unstable points, <em>Non-Minimum Phase</em> (NMP) points, and their spatial orientation, as well as by network-specific factors, including codec types and WGN. These results underscore the complex, interdependent nature of NCSs as nonlinear dynamical systems operating within networked environments. Finally, the theoretical insights are validated through three distinct simulation experiments, demonstrating the robustness and applicability of our approach in real-world scenarios.</div></div>","PeriodicalId":17283,"journal":{"name":"Journal of The Franklin Institute-engineering and Applied Mathematics","volume":"363 4","pages":"Article 108389"},"PeriodicalIF":4.2,"publicationDate":"2026-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"146025302","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"计算机科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2026-03-01Epub Date: 2026-01-18DOI: 10.1016/j.jfranklin.2026.108440
Luxia Han, Runzi Luo
Within the framework of output constraints and arbitrary-time stability, this research focuses on the free will arbitrary-time (FWAT) second-order sliding mode control (SOSMC) for nonlinear systems with parameter uncertainties and mismatches. Firstly, a novel stability theorem for FWAT is proposed, which is based on the integration algorithm. Distinct from the existing FWAT stability theorems, this one can flexibly adjust the convergence rate in accordance with actual requirements while keeping the convergence time unchanged, and the convergence time can be arbitrarily assigned without being affected by the initial value and system parameters. Secondly, by combining the FWAT stability theorem with SOSMC, the arbitrary-time stability of the nonlinear system under output constraints is achieved, with a detailed proof provided. There is currently no control algorithm in the existing literature that combines both properties. Subsequently, in order to cope with multiple uncertainties in the system, adaptive strategies are formulated and integrated into the FWAT based second order sliding mode control framework, enabling the system to be immune to the interference of uncertainties and to return to the equilibrium state. Finally, simulations of the proposed method are carried out to verify the effectiveness and feasibility of the FWAT adaptive second-order sliding mode control.
{"title":"Arbitrary-time adaptive second-order sliding mode control design for nonlinear systems featuring parametric uncertainties and time-varying output constraints","authors":"Luxia Han, Runzi Luo","doi":"10.1016/j.jfranklin.2026.108440","DOIUrl":"10.1016/j.jfranklin.2026.108440","url":null,"abstract":"<div><div>Within the framework of output constraints and arbitrary-time stability, this research focuses on the free will arbitrary-time (FWAT) second-order sliding mode control (SOSMC) for nonlinear systems with parameter uncertainties and mismatches. Firstly, a novel stability theorem for FWAT is proposed, which is based on the integration algorithm. Distinct from the existing FWAT stability theorems, this one can flexibly adjust the convergence rate in accordance with actual requirements while keeping the convergence time unchanged, and the convergence time can be arbitrarily assigned without being affected by the initial value and system parameters. Secondly, by combining the FWAT stability theorem with SOSMC, the arbitrary-time stability of the nonlinear system under output constraints is achieved, with a detailed proof provided. There is currently no control algorithm in the existing literature that combines both properties. Subsequently, in order to cope with multiple uncertainties in the system, adaptive strategies are formulated and integrated into the FWAT based second order sliding mode control framework, enabling the system to be immune to the interference of uncertainties and to return to the equilibrium state. Finally, simulations of the proposed method are carried out to verify the effectiveness and feasibility of the FWAT adaptive second-order sliding mode control.</div></div>","PeriodicalId":17283,"journal":{"name":"Journal of The Franklin Institute-engineering and Applied Mathematics","volume":"363 4","pages":"Article 108440"},"PeriodicalIF":4.2,"publicationDate":"2026-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"146025306","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"计算机科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2026-03-01Epub Date: 2026-01-24DOI: 10.1016/j.jfranklin.2026.108451
Yuhan Liu , Lingxiang Cheng , Lin Tie
In this paper, we study a class of discrete-time bilinear systems, which can be considered as linear time-invariant systems with state-coupled multiplicative perturbations. We present necessary and sufficient algebraically verifiable criteria on controllability and near-controllability of the bilinear systems, respectively. The presented criteria reveal that the controllability property of discrete-time linear time-invariant systems can be preserved or enhanced under state-coupled multiplicative perturbations, even if the multiplicative factors are unknown. Furthermore, we also investigate robust controllability and robust near-controllability of the bilinear systems subject to parametric uncertainties and provide algebraically verifiable criteria. These results enrich the controllability theory of uncertain nonlinear systems and offer a new perspective: nonlinear uncertainty, traditionally viewed as detrimental, may serve as a structural advantage in system controllability. Examples are given to illustrate the controllability criteria of this paper.
{"title":"Controllability and near-controllability of a class of discrete-time bilinear systems with uncertainties","authors":"Yuhan Liu , Lingxiang Cheng , Lin Tie","doi":"10.1016/j.jfranklin.2026.108451","DOIUrl":"10.1016/j.jfranklin.2026.108451","url":null,"abstract":"<div><div>In this paper, we study a class of discrete-time bilinear systems, which can be considered as linear time-invariant systems with state-coupled multiplicative perturbations. We present necessary and sufficient algebraically verifiable criteria on controllability and near-controllability of the bilinear systems, respectively. The presented criteria reveal that the controllability property of discrete-time linear time-invariant systems can be preserved or enhanced under state-coupled multiplicative perturbations, even if the multiplicative factors are unknown. Furthermore, we also investigate robust controllability and robust near-controllability of the bilinear systems subject to parametric uncertainties and provide algebraically verifiable criteria. These results enrich the controllability theory of uncertain nonlinear systems and offer a new perspective: nonlinear uncertainty, traditionally viewed as detrimental, may serve as a structural advantage in system controllability. Examples are given to illustrate the controllability criteria of this paper.</div></div>","PeriodicalId":17283,"journal":{"name":"Journal of The Franklin Institute-engineering and Applied Mathematics","volume":"363 4","pages":"Article 108451"},"PeriodicalIF":4.2,"publicationDate":"2026-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"146079781","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"计算机科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2026-03-01Epub Date: 2026-01-16DOI: 10.1016/j.jfranklin.2026.108416
Hongchen Qin , Yan Ji
This study develops a parameter estimation method for Hammerstein nonlinear systems under non-uniform sampling conditions, utilizing the key term separation techniques. The core of this technique lies in the reformulation of the system output, transforming it into a linear-in-the-parameters form. As a result, a complex system is broken down into several subsystems with reduced variable dimensions, making the parameter estimation process more manageable. A key term separation auxiliary model gradient-based iterative algorithm was derived based on the principle of the negative gradient search. Meanwhile, to further enhance the efficiency of parameter estimation, by applying the hierarchical identification principle, an enhanced two-stage gradient-based iterative algorithm was developed. Ultimately, numerical simulations verify the efficacy of the developed algorithms.
{"title":"Two-stage gradient-based iterative algorithms for the Hammerstein nonlinear systems with non-uniform sampling using the key term separation","authors":"Hongchen Qin , Yan Ji","doi":"10.1016/j.jfranklin.2026.108416","DOIUrl":"10.1016/j.jfranklin.2026.108416","url":null,"abstract":"<div><div>This study develops a parameter estimation method for Hammerstein nonlinear systems under non-uniform sampling conditions, utilizing the key term separation techniques. The core of this technique lies in the reformulation of the system output, transforming it into a linear-in-the-parameters form. As a result, a complex system is broken down into several subsystems with reduced variable dimensions, making the parameter estimation process more manageable. A key term separation auxiliary model gradient-based iterative algorithm was derived based on the principle of the negative gradient search. Meanwhile, to further enhance the efficiency of parameter estimation, by applying the hierarchical identification principle, an enhanced two-stage gradient-based iterative algorithm was developed. Ultimately, numerical simulations verify the efficacy of the developed algorithms.</div></div>","PeriodicalId":17283,"journal":{"name":"Journal of The Franklin Institute-engineering and Applied Mathematics","volume":"363 4","pages":"Article 108416"},"PeriodicalIF":4.2,"publicationDate":"2026-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"146025304","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"计算机科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
This paper develops an adaptive prescribed-time control (PTC) to address external perturbations and uncertainties, where a low-pass filter with time-varying cutoff frequency is proposed. A generalized time-varying scaling function is introduced to achieve prescribed-time control (PTC) and practical prescribed-time control (PPTC). The proposed control strategy innovatively incorporates the design philosophy of adaptation into PTC to achieve smooth convergence and effective management of external perturbations and uncertainties. The adaptive control framework ensures the capability to achieve PTC by elaborately setting the time-varying cutoff frequency. The proposed method also achieves the uniform distribution of the control energy over the time interval. It reduces the sensitivity of the control energy subject to abnormal initial states or time-varying functions that tend to infinity. Finally, we present numerical simulations and comparisons with existing methods to demonstrate effectiveness and superiority of the proposed adaptive PTC.
{"title":"L1 adaptive prescribed-time control","authors":"Yongwei Zhu , Shulong Zhao , Jiayi Zheng , Xiangke Wang , Yirui Cong , Zongyu Zuo","doi":"10.1016/j.jfranklin.2026.108436","DOIUrl":"10.1016/j.jfranklin.2026.108436","url":null,"abstract":"<div><div>This paper develops an <span><math><mrow><msub><mi>L</mi><mn>1</mn></msub></mrow></math></span> adaptive prescribed-time control (PTC) to address external perturbations and uncertainties, where a low-pass filter with time-varying cutoff frequency is proposed. A generalized time-varying scaling function is introduced to achieve prescribed-time control (PTC) and practical prescribed-time control (PPTC). The proposed control strategy innovatively incorporates the design philosophy of <span><math><msub><mi>L</mi><mn>1</mn></msub></math></span> adaptation into PTC to achieve smooth convergence and effective management of external perturbations and uncertainties. The <span><math><mrow><msub><mi>L</mi><mn>1</mn></msub></mrow></math></span> adaptive control framework ensures the capability to achieve PTC by elaborately setting the time-varying cutoff frequency. The proposed method also achieves the uniform distribution of the control energy over the time interval. It reduces the sensitivity of the control energy subject to abnormal initial states or time-varying functions that tend to infinity. Finally, we present numerical simulations and comparisons with existing methods to demonstrate effectiveness and superiority of the proposed <span><math><mrow><msub><mi>L</mi><mn>1</mn></msub></mrow></math></span> adaptive PTC.</div></div>","PeriodicalId":17283,"journal":{"name":"Journal of The Franklin Institute-engineering and Applied Mathematics","volume":"363 4","pages":"Article 108436"},"PeriodicalIF":4.2,"publicationDate":"2026-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"146079784","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"计算机科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2026-03-01Epub Date: 2026-01-16DOI: 10.1016/j.jfranklin.2026.108417
Jin Zhang , Ziqi Cao , Chen Peng , Songlin Hu
This paper studies the stabilization problem of large-scale discrete-time systems with state delays. Recently, a data-driven approach to design a state feedback controller via data-based formulas is proposed in a centralized manner. In this paper, we extend this design to large-scale discrete-time delay systems. First, we present data-based formulas to represent the original subsystem by using its own input-state data and the state data of its neighbors. Then, by applying the Lyapunov-Krasovskii (L-K) approach, data-based sufficient conditions are obtained in terms of linear matrix inequalities (LMIs) that ensure the exponential stability of large-scale systems. Then, a criterion for designing state feedback controllers that stabilize the system is presented through a set of solvable LMIs. In addition, we incorporate cost control and H∞ control into the controller design. Finally, the efficiency of the proposed method is validated through two examples including a platoon of heavy-duty vehicles (HDVs).
{"title":"Decentralized data-driven control of large-scale discrete-time delayed systems with application to vehicle formations","authors":"Jin Zhang , Ziqi Cao , Chen Peng , Songlin Hu","doi":"10.1016/j.jfranklin.2026.108417","DOIUrl":"10.1016/j.jfranklin.2026.108417","url":null,"abstract":"<div><div>This paper studies the stabilization problem of large-scale discrete-time systems with state delays. Recently, a data-driven approach to design a state feedback controller via data-based formulas is proposed in a centralized manner. In this paper, we extend this design to large-scale discrete-time delay systems. First, we present data-based formulas to represent the original subsystem by using its own input-state data and the state data of its neighbors. Then, by applying the Lyapunov-Krasovskii (L-K) approach, data-based sufficient conditions are obtained in terms of linear matrix inequalities (LMIs) that ensure the exponential stability of large-scale systems. Then, a criterion for designing state feedback controllers that stabilize the system is presented through a set of solvable LMIs. In addition, we incorporate cost control and <em>H</em><sub>∞</sub> control into the controller design. Finally, the efficiency of the proposed method is validated through two examples including a platoon of heavy-duty vehicles (HDVs).</div></div>","PeriodicalId":17283,"journal":{"name":"Journal of The Franklin Institute-engineering and Applied Mathematics","volume":"363 4","pages":"Article 108417"},"PeriodicalIF":4.2,"publicationDate":"2026-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"146025400","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"计算机科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
扫码关注我们
求助内容：
应助结果提醒方式：
京公网安备 11010802042870号