Abstract and Applied Analysis

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

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

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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.

Article information

Source
Abstr. Appl. Anal., Volume 2013, Special Issue (2013), Article ID 629621, 10 pages.

Dates
First available in Project Euclid: 26 February 2014

Permanent link to this document
https://projecteuclid.org/euclid.aaa/1393447708

Digital Object Identifier
doi:10.1155/2013/629621

Mathematical Reviews number (MathSciNet)
MR3081612

Zentralblatt MATH identifier
07095185

Citation

Li, Wangyan; Wei, Guoliang; Karimi, Hamid Reza; Liu, Xiaohui. Nonfragile Gain-Scheduled Control for Discrete-Time Stochastic Systems with Randomly Occurring Sensor Saturations. Abstr. Appl. Anal. 2013, Special Issue (2013), Article ID 629621, 10 pages. doi:10.1155/2013/629621. https://projecteuclid.org/euclid.aaa/1393447708


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