Mixed control of uncertain jumping time-delay systems |
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| Authors: | Magdi S Mahmoud Fouad M AL-Sunni Yan Shi |
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| Institution: | aDepartment of Systems Engineering, King Fahd University of Petroleum and Minerals, P.O. Box 985, Dhahran 31261, Saudi Arabia;bSchool of Engineering, Kyushu Tokai University, 9-9-1, Toroku, Kumamoto 862-8652, Japan |
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| Abstract: | In this paper, we investigate a class of linear continuous-time systems with Markovian jump parameters. An integral part of the system dynamics is a delayed state with time-varying and bounded delays. The jumping parameters are modeled as a continuous-time, discrete-state Markov process. Employing norm-bounded parametric uncertainties and utilizing the second-method of Lyapunov, we examine the problem of designing a mixed  controller which minimizes a quadratic  performance measure while satisfying a prescribed  -norm bound on the closed-loop system. It is established that sufficient conditions for the existence of the mixed  controller and the associated performance upper bound could be cast in the form of linear matrix inequalities. |
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| Keywords: | State-delay systems   Mixed  sciencedirect control" target="_blank">com/cache/MiamiImageURL/B6V04-4S33N9F-1-B1/0?wchp=dGLbVzb-zSkzS" alt="View the MathML source" title="View the MathML source" align="absbottom" border="0" height=17 width="62"/> control Asymptotic stability Norm-bounded parametric uncertainties |
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