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

Wangyan Li, Guoliang Wei, Hamid Reza Karimi and Xiaohui Liu

Abstract and Applied Analysis, 2013, vol. 2013, issue 1

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.

Date: 2013
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https://doi.org/10.1155/2013/629621

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2013:y:2013:i:1:n:629621

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