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Leipo Liu,Xiangyang Cao,Zhumu Fu,Shuzhong Song,Hao Xing 제어·로봇·시스템학회 2018 International Journal of Control, Automation, and Vol.16 No.2
This paper is concerned with the input-output finite-time control of uncertain positive impulsive switched systems(UPISS) with time-varying and distributed delays. Firstly, the definition of input-output finite-time stability is extended to UPISS, and the proof of the positivity of UPISS is also given. Then, by constructing multiple linear copositive Lyapunov functions and using the mode-dependent average dwell time(MDADT) approach, a state feedback controller is designed, and sufficient conditions are derived to guarantee that the corresponding closedloop system is input-output finite-time stable(IO-FTS). Such conditions can be easily solved by linear programming. Finally, two examples are given to demonstrate the effectiveness of the proposed method.
Asynchronously Input-output Finite-time Control of Positive Impulsive Switched Systems
Leipo Liu,Hao Xing,Yifan Di,Zhumu Fu,Shuzhong Song 제어·로봇·시스템학회 2020 International Journal of Control, Automation, and Vol.18 No.7
This paper considers asynchronously input-output finite-time control of positive impulsive switched systems(PISS). Firstly, the definition of input-output finite-time stability(IO-FTS) is introduced. By using the Lyapunov functional and average dwell time(ADT) approach, a state feedback controller is designed and new sufficient conditions are obtained to guarantee the corresponding closed-loop system is IO-FTS under asynchronous switching. Such conditions can be solved by linear programming. Finally, a practical example is provided to show the effectiveness of the proposed method.