Journal of The Franklin Institute-engineering and Applied Mathematics最新文献

{"title":"Online algebraic disturbance estimation method for linear systems with noisy state measurements","authors":"Yan-Qiao Wei ,&nbsp;Da-Yan Liu ,&nbsp;Chang-Chun Hua ,&nbsp;Cong Zhang","doi":"10.1016/j.jfranklin.2024.107442","DOIUrl":"10.1016/j.jfranklin.2024.107442","url":null,"abstract":"<div><div>This paper aims to design an online algebraic disturbance estimation method for linear systems with noisy state measurements. The motivation is to provide a fast-convergent and robust online disturbance estimation method for active anti-disturbance control systems. By constructing a modulating functions vector, a state-based algebraic integral formula is derived for the disturbance of the studied system. Within a discrete noisy environment, the proposed formula can be numerically executed online with respect to a sliding integration window. Meanwhile, the analysis of error effects is also given based on the proposed formula. Finally, simulation examples are provided to illustrate the efficiency of the proposed method for an open-loop system and a closed-loop system, respectively.</div></div>","PeriodicalId":17283,"journal":{"name":"Journal of The Franklin Institute-engineering and Applied Mathematics","volume":"362 1","pages":"Article 107442"},"PeriodicalIF":3.7,"publicationDate":"2025-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143168693","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}

{"title":"Edge-based time-dynamic event triggered consensus control for multi-agent systems with disconnected switching topologies","authors":"Yonghui Wu ,&nbsp;Huaqing Li ,&nbsp;Chuandong Li ,&nbsp;Qingguo Lü","doi":"10.1016/j.jfranklin.2024.107495","DOIUrl":"10.1016/j.jfranklin.2024.107495","url":null,"abstract":"<div><div>The consensus problem of multi-agent systems under switching topologies with both connected and unconnected communication subgraphs is investigated in this study. To save resources and avoid the utilization of the global coordinate frame, an edge-based time-dynamic event triggered mechanism is developed to regulate the transmission of relative information for each edge in the network, where the time triggered mechanism is to ensure an explicit lower bound of triggering sequences and the dynamic event-triggered mechanism to enlarge the average time interval of triggering sequences. It is demonstrated that, under the planned distributed algorithm, the consensus could be reached exponentially if the ratio of the total activation time of connected subgraphs to that of unconnected subgraphs satisfies a given condition. Furthermore, under commonly verifiable assumptions, the procedure is presented to choose parameters and the existence of solutions to these parameters is also strictly proved. Finally, simulations are conducted to verify the proposed algorithm.</div></div>","PeriodicalId":17283,"journal":{"name":"Journal of The Franklin Institute-engineering and Applied Mathematics","volume":"362 2","pages":"Article 107495"},"PeriodicalIF":3.7,"publicationDate":"2025-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143137839","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}

{"title":"Neural network-based adaptive fault-tolerant control for strict-feedback nonlinear systems with input dead zone and saturation","authors":"Mohamed Kharrat ,&nbsp;Moez Krichen ,&nbsp;Hadil Alhazmi ,&nbsp;Paolo Mercorelli","doi":"10.1016/j.jfranklin.2024.107471","DOIUrl":"10.1016/j.jfranklin.2024.107471","url":null,"abstract":"<div><div>This study investigates the issue of adaptive fault-tolerant neural control in strict-feedback nonlinear systems. The system is subjected to actuator faults, dead-zone and saturation. To model the unknown functions, radial basis function neural networks (RBFNN) are employed. The proposed approach utilizes a backstepping technique to formulate an adaptive fault-tolerant controller, drawing upon the Lyapunov stability theory and the approximation capabilities of RBFNN. The resultant controller guarantees the boundedness of all signals in the closed-loop system, ensuring precise tracking of the reference signal by the system output with a small, bounded error. Finally, simulation results are provided to illustrate the efficacy of the proposed strategy in addressing actuator faults, dead-zone, and saturation.</div></div>","PeriodicalId":17283,"journal":{"name":"Journal of The Franklin Institute-engineering and Applied Mathematics","volume":"362 2","pages":"Article 107471"},"PeriodicalIF":3.7,"publicationDate":"2025-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143137846","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"计算机科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Prescribed-time privacy-preserving bipartite consensus of multiagent systems via edge-event-triggered method","authors":"Lianghao Ji ,&nbsp;Fanghui Niu ,&nbsp;Xing Guo ,&nbsp;Yan Xie ,&nbsp;Huaqing Li","doi":"10.1016/j.jfranklin.2024.107423","DOIUrl":"10.1016/j.jfranklin.2024.107423","url":null,"abstract":"<div><div>This paper investigates the prescribed-time privacy-preserving bipartite consensus problem of multiagent systems (MASs). A novel edge-event-triggered prescribed-time privacy-preserving consensus protocol is proposed to achieve accurate bipartite consensus of MASs in a prescribed time while protecting the agents’ states from being obtained by curious agents. To mask the agents’ states, a new edge-based output mask function is designed. This function allows the agents to set different private parameters for different neighbors, effectively preventing the curious agents from accessing all the information used by the protected agent, thereby achieving a better privacy preservation effect. In addition, an edge-based dynamic event-triggered strategy (ETS) is designed to save communication resources while further reducing the risk of privacy leakage. Sufficient conditions that can guarantee accurate bipartite consensus of MASs in a prescribed time and prevent the agents’ states from being reconstructed by curious agents are obtained. Furthermore, the Zeno behavior is excluded throughout the period except for the prescribed time. Finally, numerical simulations validate the theoretical results.</div></div>","PeriodicalId":17283,"journal":{"name":"Journal of The Franklin Institute-engineering and Applied Mathematics","volume":"362 1","pages":"Article 107423"},"PeriodicalIF":3.7,"publicationDate":"2025-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143168676","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}

{"title":"Robust attitude control for hypersonic reentry vehicle via composite fixed-time stable control method","authors":"Wei Wang ,&nbsp;Jing Yang ,&nbsp;Yuxiang Nan ,&nbsp;Shaoyong Hu ,&nbsp;Yuchen Wang","doi":"10.1016/j.jfranklin.2024.107426","DOIUrl":"10.1016/j.jfranklin.2024.107426","url":null,"abstract":"<div><div>A novel adaptive nonsingular fixed-time converged terminal sliding mode control method is proposed for a standard nonlinear system suffering from uncertainties and disturbance. The obtained results are applied to attitude maneuver controller design for hypersonic reentry vehicles (HRV). First, an adaptive disturbance observer with fixed-time stability is introduced to cope with the total disturbance consisting of uncertainties and disturbance. Considering the singularity issue inherent in classical fixed-time converged terminal sliding mode, an improved nonsingular fixed-time terminal sliding mode(NFxTSM) is designed by implementing the switching function, ensuring faster convergence and singularity-free. The adaptive technique is also incorporated with the controller design to enhance the robustness of the NFxTSM. Then, considering the inherent time-scale separation feature, the composite attitude maneuver controller is further designed for HRV based on the backstepping technique. The outer loop generates the desired angle rate command, and the inner loop is designed to track the outer loop command. Finally, the numerical simulations are established to verify the effectiveness of the proposed controller.</div></div>","PeriodicalId":17283,"journal":{"name":"Journal of The Franklin Institute-engineering and Applied Mathematics","volume":"362 1","pages":"Article 107426"},"PeriodicalIF":3.7,"publicationDate":"2025-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143168683","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}

{"title":"Fractional-order input-to-state stability and its converse Lyapunov theorem","authors":"Tong Guo ,&nbsp;Yiheng Wei ,&nbsp;Luyao Zhang ,&nbsp;Yao Mao ,&nbsp;Xi Zhou ,&nbsp;Jinde Cao","doi":"10.1016/j.jfranklin.2024.107414","DOIUrl":"10.1016/j.jfranklin.2024.107414","url":null,"abstract":"<div><div>This paper establishes input-to-state stability (ISS) for fractional-order nonlinear systems, providing a stability constraint framework for fractional-order systems affected by external inputs. The general fractional comparison principle aids in constructing Lyapunov functions, offering criteria for input-to-state stability of fractional-order nonlinear systems. The concept of weak robustness and the converse Lyapunov theorem for fractional-order nonlinear systems further enhance the completeness of input-to-state stability in these systems. By designing systems to maintain fractional-order input-to-state stability (FOISS), the system can remain robust against the effects of bounded external inputs. Serving as a foundational ”toolbox,” this work provides insights into the stability analysis of fractional-order nonlinear systems, benefiting researchers and practitioners in the field of control theory.</div></div>","PeriodicalId":17283,"journal":{"name":"Journal of The Franklin Institute-engineering and Applied Mathematics","volume":"362 1","pages":"Article 107414"},"PeriodicalIF":3.7,"publicationDate":"2025-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143168690","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}

{"title":"Fault detection observer design for interval type-2 T–S fuzzy systems based on locally optimized membership function-dependent H− performance","authors":"Guoqiang Cai,&nbsp;Jiuxiang Dong","doi":"10.1016/j.jfranklin.2024.107461","DOIUrl":"10.1016/j.jfranklin.2024.107461","url":null,"abstract":"<div><div>A fault detection observer design method for interval Type-2 Takagi–Sugeno fuzzy systems based on a newly defined locally optimized membership function dependent <span><math><msub><mrow><mi>H</mi></mrow><mrow><mo>−</mo></mrow></msub></math></span> performance index is proposed in this paper. In the field of fault detection, the <span><math><msub><mrow><mi>H</mi></mrow><mrow><mo>−</mo></mrow></msub></math></span> performance index is a crucial measure of the sensitivity of residual signals to fault signals. Therefore, utilizing <span><math><msub><mrow><mi>H</mi></mrow><mrow><mo>−</mo></mrow></msub></math></span> performance for fault detection observer design is common, and enhancing this index is significant for improving the sensitivity and reducing the false alarm rate of observers. This paper introduces a novel <span><math><msub><mrow><mi>H</mi></mrow><mrow><mo>−</mo></mrow></msub></math></span> performance index, considering that Takagi–Sugeno fuzzy systems do not operate on all linear subsystems indefinitely. The focus is on enhancing the <span><math><msub><mrow><mi>H</mi></mrow><mrow><mo>−</mo></mrow></msub></math></span> performance of subsystems operating for extended periods. Additionally, by partitioning the state space and fully utilizing upper and lower membership function information, the <span><math><msub><mrow><mi>H</mi></mrow><mrow><mo>−</mo></mrow></msub></math></span> performance of locally dominant subsystems with high membership on long-running linear subsystems is improved. A novel locally optimized membership function-dependent <span><math><msub><mrow><mi>H</mi></mrow><mrow><mo>−</mo></mrow></msub></math></span> performance index is thus defined. Moreover, combining the line-integral fuzzy Lyapunov function and descriptor system method, the relaxation variable technique is provided and overcomes the requirement for time derivatives of membership functions. The newly defined <span><math><msub><mrow><mi>H</mi></mrow><mrow><mo>−</mo></mrow></msub></math></span> performance index introduces a novel approach to designing fault detection observers. By providing sufficient conditions for the existence of fault detection observers, this method offers promise for enhancing fault detection capabilities in systems. The simulation results further validate the effectiveness of this approach, indicating its potential for practical application.</div></div>","PeriodicalId":17283,"journal":{"name":"Journal of The Franklin Institute-engineering and Applied Mathematics","volume":"362 2","pages":"Article 107461"},"PeriodicalIF":3.7,"publicationDate":"2025-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143137849","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}

{"title":"A recurrent neural network based on Taylor difference for solving discrete time-varying linear matrix problems and application in robot arms","authors":"Chenfu Yi,&nbsp;Xuan Li,&nbsp;Mingdong Zhu,&nbsp;Jianliang Ruan","doi":"10.1016/j.jfranklin.2024.107469","DOIUrl":"10.1016/j.jfranklin.2024.107469","url":null,"abstract":"<div><div>Discrete time-varying linear matrix problems (DTVLMP) play an important role in the field of artificial intelligence and control engineering. This article presents a direct solution to the DTVLMP based on Taylor difference discrete time-varying recurrent neural network (TD-DRNN) model. First of all, the TD-DRNN operates in a directly discrete time-varying framework, avoiding the need to build a theoretical foundation from a continuous time-varying recurrent neural network (RNN) model. Then, the theoretical properties of the TD-DRNN have been rigorously analyzed, demonstrating both its convergence and accuracy. These results show that the new TD-DRNN model has remarkable computational performance. Furthermore, the effectiveness and versatility of the TD-DRNN model have been substantiated through a numerical simulation and the application of two robotic trials.</div></div>","PeriodicalId":17283,"journal":{"name":"Journal of The Franklin Institute-engineering and Applied Mathematics","volume":"362 2","pages":"Article 107469"},"PeriodicalIF":3.7,"publicationDate":"2025-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143137851","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}

{"title":"Adaptive quantized control for hypersonic flight vehicles subject to actuator faults and backlash nonlinearity","authors":"Zhihui Wang,&nbsp;Chenliang Wang,&nbsp;Linling Bai,&nbsp;Yu Wang,&nbsp;Jianzhong Qiao,&nbsp;Lei Guo","doi":"10.1016/j.jfranklin.2024.107500","DOIUrl":"10.1016/j.jfranklin.2024.107500","url":null,"abstract":"<div><div>In this paper, an adaptive quantized control scheme is proposed for a class of hypersonic flight vehicles with actuator faults and elevator backlash. An improved hysteretic quantizer is employed to reduce the communication burden and chattering phenomenon, whose parameters are allowed to be freely changed according to tracking performance and communication capability. By designing adaptive laws to estimate the bounds of time-varying uncertainties, the impacts of the actuator faults, the input quantization and the backlash nonlinearity are successfully compensated for and boundedness of all the closed-loop signals is ensured. Meanwhile, by introducing a double transformation technique, both the altitude and the velocity of the vehicle can track desired trajectories with prescribed transient and steady-state performance, which implies that the proposed adaptive quantized control scheme provides satisfactory tracking performance in addition to higher reliability. The effectiveness of the proposed scheme is demonstrated via simulation results.</div></div>","PeriodicalId":17283,"journal":{"name":"Journal of The Franklin Institute-engineering and Applied Mathematics","volume":"362 2","pages":"Article 107500"},"PeriodicalIF":3.7,"publicationDate":"2025-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143138507","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}

{"title":"Dynamic event-triggered cooperative cubature Kalman filter for nonlinear dynamical systems with packet dropout","authors":"Yu Chen ,&nbsp;Yuanli Cai ,&nbsp;Jiaqi Liu ,&nbsp;Haonan Jiang","doi":"10.1016/j.jfranklin.2024.107459","DOIUrl":"10.1016/j.jfranklin.2024.107459","url":null,"abstract":"<div><div>This study investigated cooperative cubature Kalman filtering for discrete-time nonlinear systems with packet dropout based on a dynamic event-triggered mechanism. Initially, a dynamic event-triggered mechanism was constructed based on the measurement state information to reduce communication burden and energy consumption. Subsequently, we proposed the distributed filter for each sensor node, which was designed to handle random packet dropouts. This filter employed the minimum mean squared error approximation technique and weighted average consensus method under the established data transmission mechanism. A cooperative cubature Kalman filter algorithm with enhanced precision and robustness was then developed. Furthermore, sufficient conditions were established to ensure the boundedness of the prediction error and stochastic stability of the designed filtering algorithm. The findings indicated that the packet loss rate was upper-bounded and contingent on the average communication rate per node, thereby guaranteeing that prediction-error covariance of the local filter remained bounded at every moment. Finally, the proposed algorithm was applied to track maneuvering targets using multiple unmanned aerial vehicles, and simulation results demonstrated its efficacy and practicality.</div></div>","PeriodicalId":17283,"journal":{"name":"Journal of The Franklin Institute-engineering and Applied Mathematics","volume":"362 2","pages":"Article 107459"},"PeriodicalIF":3.7,"publicationDate":"2025-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143137850","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}