Asynchronously Input-output Finite-time Control of Positive Impulsive Switched Systems

Abstract

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.

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Correspondence to Leipo Liu.

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Recommended by Associate Editor Jiuxiang Dong under the direction of Editor Guang-Hong Yang. The authors are thankful for the supports of the National Natural Science Foundation of China (U1404610), National Key Research and Development Project (2016YFE0104600) and young key teachers plan of Henan province (2016GGJS-056), Scientific and Technological Innovation Leaders in Central Plains (194200510012) and the Science and Technology Innovative Teams in University of Henan Province (18IRTSTHN011).

Leipo Liu received his Ph.D. degree in control theory and control engineering from Shanghai Jiao Tong University, China, in 2011. He is currently an associate professor in Henan University of Science and Technology, China. His research interests include sliding mode control, robust control and differential inclusion systems.

Hao Xing was born in Henan Province, China, in 1993. He is currently pursuing a Master’s degree at the Henan University of Science and Technology, Lu-oyang, China. His current research interests include positive switched systems, finite-time stability and fractional-order systems.

Yifan Di was born in Henan Province, China, in 1995. He is currently pursuing a Master’s degree at the Henan University of Science and Technology, Lu-oyang, China. His current research interests include positive switched systems, finite-time stability and fractional-order systems.

Zhumu Fu received his Ph.D. degree in control theory and control engineering from Southeast University, China, in 2007. Now he is a professor in Henan University of Science and Technology, China. His interest includes switch system, nonlinear control, etc.

Shuzhong Song received his Ph.D. degree in automation from Wuhan University of Technology, China, in 2007. Now he is a professor in Henan University of Science and Technology, China. His research interests include electromechanical dynamics of linear motor, etc.

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Liu, L., Xing, H., Di, Y. et al. Asynchronously Input-output Finite-time Control of Positive Impulsive Switched Systems. Int. J. Control Autom. Syst. 18, 1751–1757 (2020). https://doi.org/10.1007/s12555-019-0322-z

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Keywords

  • Asynchronous control
  • average dwell time
  • input-output finite-time stability
  • positive impulsive switched systems