Robust sampled data control

Robust control of uncertain plants is a major area of interest in control theory. In this thesis, robust stabilization of plants under a class of structural perturbations using sampled-data controllers is considered. It is shown that a controllable system under bounded perturbations that satisfy matching conditions can be stabilized using high-gain sampled-data control, provided that the sampling period is sufficiently small. This result is then applied to robust stabilization of interconnected systems using decentralized sampled-data control, where both single-rate and multi-rate sampling schemes are considered.