Nonfragile gain-scheduled control for discrete-time stochastic systems with randomly occurring sensor saturations
Journal article, Peer reviewed
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OriginalversjonLi, W., Wei, G., Karimi, H. R., & Liu, X. (2013). Nonfragile gain-scheduled control for discrete-time stochastic systems with randomly occurring sensor saturations. Abstract and Applied Analysis, 2013. doi: 10.1155/2013/629621 10.1155/2013/629621
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.
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