An LMI approach to the output-feedback guaranteed cost control for uncertain time-delay systems

This 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. It is proved that the existence of the guaranteed cost controller is equivalent to the feasibility of certain matrix inequalities. A numerical algorithm is developed to construct a full order output-feedback controller that minimizes a specific cost bound for a quadratic performance index.

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