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RESEARCH PRODUCT
Nonfragile Gain-Scheduled Control for Discrete-Time Stochastic Systems with Randomly Occurring Sensor Saturations
Guoliang WeiWangyan LiHamid Reza KarimiXiaohui Liusubject
Semidefinite programmingMathematical optimizationArticle SubjectSaturation phenomenonApplied Mathematicslcsh:MathematicsControl (management)lcsh:QA1-939VDP::Mathematics and natural science: 400::Mathematics: 410::Analysis: 411Lyapunov functionalDiscrete time and continuous timeBernoulli distributionControl theoryConvex optimizationAnalysisMathematicsdescription
Published version of an article in the journal: Abstract and Applied Analysis. Also available from the publisher at: http://dx.doi.org/10.1155/2013/629621 Open Access 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.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2013-01-01 |