Linear matrix inequality-based robust h∞ control of sampled-data systems with parametric uncertainties

The problem of robust Hinfin controller design for sampled-data systems with time-varying norm-bounded parameter uncertainties in the state matrices is investigated. Attention is focused on the design of a causal sampled-data controller which guarantees the asymptotical stability of the closed-loop system and reduces the effect of the disturbance input on the controlled output to a prescribed Hinfin performance bound for all admissible uncertainties. Sufficient condition for the solvability of the problem is in terms of linear matrix inequalities (LMIs) technique. It is shown that the desired Hinfin controller can be constructed by solving certain LMIs. An illustrative example is given to demonstrate the effectiveness of the proposed method.