Journal of Control Science and Engineering (Jan 2017)

Input-Output Finite-Time Control of Positive Switched Systems with Time-Varying and Distributed Delays

  • Leipo Liu,
  • Xiangyang Cao,
  • Zhumu Fu,
  • Shuzhong Song

DOI
https://doi.org/10.1155/2017/4896764
Journal volume & issue
Vol. 2017

Abstract

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The problem of input-output finite-time control of positive switched systems with time-varying and distributed delays is considered in this paper. Firstly, the definition of input-output finite-time stability is extended to positive switched systems with time-varying and distributed delays, and the proof of the positivity of such systems 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 closed-loop system is input-output finite-time stable (IO-FTS). Such conditions can be easily solved by linear programming. Finally, a numerical example is given to demonstrate the effectiveness of the proposed method.