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Input-output Finite-time Control of Uncertain Positive Impulsive Switched Systems with Time-varying and Distributed Delays

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  • Control Theory and Applications
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Abstract

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.

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Authors and Affiliations

  1. School of Information Engineering, Henan University of Science and Technology, No. 263 Kaiyuan Avenue, Luoyang, China

    Leipo Liu, Xiangyang Cao, Zhumu Fu, Shuzhong Song & Hao Xing

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  1. Leipo Liu
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  2. Xiangyang Cao
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  3. Zhumu Fu
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  4. Shuzhong Song
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  5. Hao Xing
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Corresponding author

Correspondence to Leipo Liu.

Additional information

Recommended by Associate Editor Sing Kiong Nguang under the direction of Editor Myo Taeg Lim. The authors are grateful for the supports of the National Natural Science Foundation of China under grants U1404610, 61473115 and 61374077.

Leipo Liu received the 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, positive switched systems and differential inclusion systems.

Xiangayng Cao was born in Henan Province, China, in 1993. He is currently pursuing the Master’s degree at the Henan University of Science and Technology, Luoyang, China. His current research interests include positive switched systems 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 switched systems, 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.

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

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Liu, L., Cao, X., Fu, Z. et al. Input-output Finite-time Control of Uncertain Positive Impulsive Switched Systems with Time-varying and Distributed Delays. Int. J. Control Autom. Syst. 16, 670–681 (2018). https://doi.org/10.1007/s12555-017-0269-x

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