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access icon free Global output-feedback stabilisation of switched stochastic non-linear time-delay systems under arbitrary switchings

  • Author(s): Liang Liu 1 ; Xu-Dong Zhao 1 ; Ben Niu 2 ; Huan-Qing Wang 2 ; Xue-Jun Xie 3
    • View affiliations
    • Affiliations: 1: College of Engineering, Bohai University, Liaoning Province 121013, People's Republic of China;
      2: College of Mathematics and Physics, Bohai University, Liaoning Province 121013, People's Republic of China;
      3: Institute of Automation, Qufu Normal University, Shandong Province 273165, People's Republic of China
  • Source: Volume 9, Issue 2, 19 January 2015, p. 283 – 292
    DOI:  10.1049/iet-cta.2014.0306 , Print ISSN 1751-8644, Online ISSN 1751-8652
© The Institution of Engineering and Technology
Received 29/10/2013, Accepted 24/08/2014, Revised 15/08/2014, Published 10/10/2014

This study considers the global output-feedback control for a class of switched stochastic non-linear time-delay systems under arbitrary switchings. By using the backstepping technique and choosing an appropriate Lyapunov–Krasoviskii functional, an output-feedback controller independent of switching signals is constructed to render the closed-loop system globally asymptotically stable in probability and the output can be regulated to the origin almost surely. Two simulation examples are provided to show the effectiveness of the designed controller.

Inspec keywords: Lyapunov methods; probability; stochastic systems; delays; asymptotic stability; closed loop systems; nonlinear systems; feedback

Other keywords: global output-feedback stabilisation; probability; asymptotic stability; closed-loop system; switching signal; arbitrary switching; switched stochastic nonlinear time-delay system; Lyapunov-Krasovskii functional; backstepping technique

Subjects: Distributed parameter control systems; Stability in control theory; Other topics in statistics; Time-varying control systems; Nonlinear control systems

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