Robust H2 control of Markovian jump systems with u

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Robust H2 control of Markovian jump systems with uncertain switching probabilities 期刊名称： International Journal of Systems Science

作者： Junlin Xiong,James Lam

作者机构： Department of Mechanical Engineering,

年份： 2009年

期号：第3期

关键词： linear matrix inequalities (lmis);markovian parameters;robust h_2

control;uncertainties刘真露点

摘要：This article deals with the robust H2 control problem for a class of Markovian jump linear systems with uncertain switching probabilities. The uncertainties under consideration appear both in the system parameters and in the mode transition rates. First, a new criterion based on linear matrix inequalities is established for checking the robust H2 performance of the uncertain system. Then,

a sufficient condition for the existence of the state-feedback controllers is established such that the closed-loop system is quadratically mean square stable and has a certain level of robust H2 performance in terms of linear matrix inequalities with equality constraints. A globally convergent algorithm is also presented to construct such controllers effectively. Finally, an illustrative numerical example is used to demonstrate the developed theory.

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