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Reliable control for a class of nonlinear time-varying stochastic systems with randomly occurring sensor failures

Author

Listed:
  • Lifeng Ma
  • Yuming Bo
  • Xiaohui Liu
  • Zhi Guo

Abstract

This paper is concerned with the reliable H∞${\mathcal {H}}_\infty$ control problem for a class of nonlinear stochastic systems subject to possible sensor failures. The sensor failures are assumed to happen in a random way, namely, randomly occurring sensor failures (ROSF), and the failure probability is governed by a random variable obeying the Bernoulli distribution. The stochastic nonlinearities described by statistical means could cover several types of well-studied stochastic nonlinearities. The purpose of this problem is to design an output feedback controller such that the closed-loop system meets the desired H∞${\mathcal {H}}_\infty$ performance over a finite horizon. Sufficient condition for the existence of the desired controller is given, where the feedback gains at each time point k can be obtained by solving certain convex optimisation problems iteratively. A numerical computing algorithm is presented, and then a simulation example is given to illustrate the effectiveness and applicability of the proposed algorithm.

Suggested Citation

  • Lifeng Ma & Yuming Bo & Xiaohui Liu & Zhi Guo, 2014. "Reliable control for a class of nonlinear time-varying stochastic systems with randomly occurring sensor failures," International Journal of Systems Science, Taylor & Francis Journals, vol. 45(7), pages 1383-1392, July.
    • Handle: RePEc:taf:tsysxx:v:45:y:2014:i:7:p:1383-1392
    DOI: 10.1080/00207721.2013.859331
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