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Nonfragile Gain-Scheduled Control for Discrete-Time Stochastic Systems with Randomly Occurring Sensor Saturations

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  • Wangyan Li
  • Guoliang Wei
  • Hamid Reza Karimi
  • Xiaohui Liu

Abstract

This paper is devoted to tackling the control problem for a class of discrete-time stochastic systems with randomly occurring sensor saturations. The considered sensor saturation phenomenon is assumed to occur in a random way based on the time-varying Bernoulli distribution with measurable probability in real time. The aim of the paper is to design a nonfragile gain-scheduled controller with probability-dependent gains which can be achieved by solving a convex optimization problem via semidefinite programming method. Subsequently, a new kind of probability-dependent Lyapunov functional is proposed in order to derive the controller with less conservatism. Finally, an illustrative example will demonstrate the effectiveness of our designed procedures.

Suggested Citation

  • Wangyan Li & Guoliang Wei & Hamid Reza Karimi & Xiaohui Liu, 2013. "Nonfragile Gain-Scheduled Control for Discrete-Time Stochastic Systems with Randomly Occurring Sensor Saturations," Abstract and Applied Analysis, Hindawi, vol. 2013, pages 1-10, July.
    • Handle: RePEc:hin:jnlaaa:629621
    DOI: 10.1155/2013/629621
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    Cited by:

    1. Guoliang Wei & Zidong Wang & Wangyan Li & Lifeng Ma, 2014. "A Survey on Gain-Scheduled Control and Filtering for Parameter-Varying Systems," Discrete Dynamics in Nature and Society, Hindawi, vol. 2014, pages 1-10, April.

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