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Exponential stability of discrete-time positive switched T-S fuzzy systems with all unstable subsystems

Science China(Information Sciences) 2021年第5期64卷 236-238页

作者： Gengjiao YANG Fei HAO Lin ZHANG Bohu LI School of Automation Science and Electrical Engineering Beihang University Engineering Research Center of Complex Product Advanced Manufacturing Systems Ministry of Education Beijing Simulation Center

Dear editor,Over the past few decades, stability analysis has been an important field of research, and various methods for stability analysis have been proposed [1]. In recent years, stability problem of positive swit... 详细信息

关键词： stability analysis positive switched nonlinear systems T-S model unstable subsystems fast MDADT

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Observer-based fault detection for switched systems with all unstable subsystems

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Journal of Control and Decision 2021年第2期8卷 116-123页

作者： Qingyu Su Zhongxin Fan Jian Li School of Automation Engineering Northeast Electric Power University169 Changchun RoadChuanying DistrictJilin 132012People’s Republic of China

This paper deals with the fault detection observer design problem for switched system with all modes ***,the error system model is *** the consideration of the instability caused by the unobservable condition of(Ai,Ci),a switching signal is obtained via average dwell time method and discretised Lyapunov *** means of linear matrix inequalities,sufficient conditions pledging exponential stability and H∞performance are *** transferring the observer design problem into H∞performance analysis,proper observer gain is obtained via solving these *** the end,the validity of the proposed Luenberger observer is verified by an example.

关键词： Average dwell time discretised Lyapunov function weighted H∞performance Luenberger observer unstable subsystems

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Input/output-to-state stable property of switched stochastic nonlinear systems by an improved average dwell time method

Input/output-to-state stable property of switched stochastic...

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第26届中国控制与决策会议

作者： REN Ling GUO Rongwei ZHAO Ping LI Bin School of Control Science and Engineering Shandong University

ISBN: (纸本)9781479937066

This paper investigates the input/output-to-state stable in the mean（IOSSiM） property of switched stochastic nonlinear（SSN） systems. First, we present a new IOSSiM result for the SSN systems whose subsystems are IOSSiM by applying an improved ADT method. Second, by extending the improved ADT method to unforced nominal SSN systems in which parts of subsystems are stable, we establish a new stability analysis result. It should be pointed out that the obtained results have two advantages over the existing results, one is the ADT conditions are simplified, the other is the obtained lower bound of ADT（τ*a） is also smaller than those obtained by other methods. Finally, an illustrative example with numerical simulation is verified the correctness and the effectiveness of the proposed methods.

关键词： Switched stochastic nonlinear system Input/output-to-state stable unstable subsystems Average dwell time

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