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

  • Leipo Liu
  • Xiangyang Cao
  • Zhumu Fu
  • Shuzhong Song
  • Hao Xing
Regular Paper Control Theory and Applications
  • 63 Downloads

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.

Keywords

Input-output finite-time stability interval uncertainty linear programming mode-dependent average dwell time positive impulsive switched systems 

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Copyright information

© Institute of Control, Robotics and Systems and The Korean Institute of Electrical Engineers and Springer-Verlag GmbH Germany, part of Springer Nature 2018

Authors and Affiliations

  • Leipo Liu
    • 1
  • Xiangyang Cao
    • 1
  • Zhumu Fu
    • 1
  • Shuzhong Song
    • 1
  • Hao Xing
    • 1
  1. 1.School of Information EngineeringHenan University of Science and TechnologyLuoyangChina

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