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控制理论与应用 2005
Resilient guaranteed cost control for singular interval systems with time-delay
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Abstract:
The problem of resilient guaranteed cost control was investigated for a class of singular interval systems with time-delay.A condition for the existence of resilient guaranteed cost controller is derived.Furthermore,it is shown that this condition is equivalent to the feasibility problem of a linear matrix inequality(LMI),and its solutions provide a parametrized representation of resilient guaranteed cost controllers.On this basis,the design problem of the optimal resilient guaranteed cost controller for the systems is formulated as a convex optimization problem,which can be solved by the existing convex optimization techniques.Finally,an example is given to illustrate the application of the proposed method.