Dynamic output feedback compensation for linear systems with independent amplitude and rate saturations

Abstract

The positive real lemma provides the basis for constructing linear output feedback dynamic compensators for multi-input plants with independent amplitude saturations. Fixed-structure techniques are used to obtain full- and reduced-order feedback compensators along with a guaranteed domain of attraction. These results are then applied to the problem of rate saturation. By using a feedback-type model, rate saturation ismodelled as an amplitude saturation. The closed-loop systemwith amplitude and rate saturation is then treated as a system with independent `amplitude’ saturations.