Robust stability for the perturbed sampled-data systems

Robust stability for a class of sampled-data systems whose underlying continuous-time systems were subjected to additive structured perturbations was considered. The proposed upper bounds of the induced perturbations in discrete-time model were similar to those obtained in reference. A stable digital optimal state feedback controller whose design was based on the solution of Riccati equation was given. By considering stability based on the second method of Lyapunov, the robust stability bounds for discrete-time model was obtained. Combining the above findings, one sufficient condition of robust stability and a new region of robust stability on the underlying continuous-time system were obtained. Example was given to illustrate the proposed results. It was shown that the sampling period was a crucial design parameter.