Robust Optimal Guaranteed Cost Control for Time-varying Uncertain Switched Singular Systems
LI Chun-ming,TIAN Xue-min(The College of Information and Control Engineering,China University of Petroleum,Qingdao 266580,China)
This paper studies the problem of robust optimal guaranteed cost control for a class of time-varying uncertain switched singular systems.Suppose that the time-varying uncertain parameters are norm-bounded,but the matched conditions are not required to satisfy.A new sufficient condition of the existence of robust optimal guaranteed cost controllers is given for systems by constructing the generalized Lyaponov function and taking the linear matrix inequality approach.Furthermore,a convex optimization problem with linear matrix inequalities(LMIs) constraints is formulated.Robust optimal guaranteed cost control law and the minimization of the upper boundary of closed-loop performance index are obtained.Finally,a numerical example is given to show the potential of the proposed technique.
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