Robust guaranteed cost control for sampled-data systems with parametric uncertainties

This paper investigates the problem of robust guaranteed control for sampled-data systems with time-varying norm-bounded parametric uncertainties in the state matrix and input matrix. Attention is focused on the design of a causal dynamic output feedback sampled-data controller which guarantees the asymptotical stability of the closed-loop system and the quadratic performance index less than a certain bound for all admissible uncertainties. Sufficient condition for the solvability of the problem is presented in terms of a set of linear matrix inequalities (LMIs). It is shown that the desired guaranteed cost controller can be constructed by solving certain LMIs. An illustrative example is given to demonstrate the effectiveness of the proposed method.