StochasticH∞Control for Discrete-Time Singular Systems with State and Disturbance Dependent Noise
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This paper is concerned with the stochasticH∞state feedback control problem for a class of discrete-time singular systems with state and disturbance dependent noise. Two stochastic bounded real lemmas (SBRLs) are proposed via strict linear matrix inequalities (LMIs). Based on the obtained SBRLs, a state feedbackH∞controller is presented, which not only guarantees the resulting closed-loop system to be mean square admissible but also satisfies a prescribedH∞performance level. A numerical example is finally given to illustrate the effectiveness of the proposed theoretical results.
2014 ◽
Vol 137
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2011 ◽
Vol 44
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pp. 12620-12625
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2017 ◽
Vol 139
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2014 ◽
Vol 875-877
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pp. 835-840
2013 ◽
Vol 467
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pp. 621-626
1987 ◽
Vol 109
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pp. 320-327
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2017 ◽
Vol 139
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