SUMMARYThis paper considers the problem of output-feedback-guaranteed cost controller design for uncertain time-delay systems. The uncertainty in the system is assumed to be norm-bounded and time-varying. The time-delay is allowed to enter the state and the measurement equations. A linear quadratic cost function is considered as a performance measure for the closed-loop system. Necessary and su$cient conditions are provided for the construction of a guaranteed cost controller. These conditions are given in terms of the feasibility of LMIs which depend on a positive de"nite matrix and a scaling variable. A numerical algorithm is developed to search for a full order dynamic output-feedback controller which minimizes the cost bound.
Results on the design of robust memoryless state feedback controllers for uncertain time-delay systems with norm bounded uncertainty are presented. It is proved that the feasibility of a linear matrix inequality (LMI) problem is necessary and sufficient for the quadratic stabilisation of an uncertain time-delay system. A robust state feedback controller can be constructed using the corresponding feasible solution of the LMI problem. A procedure is given to select a suitable state feedback controller that is also suboptimal in the sense of minimising a bound on a quadratic performance index.
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