Robust stability of singularly perturbed state feedback systems using unified approach

Abstract

A method for decomposition of unified state-feedback singularly perturbed systems is presented. Based on the small-gain theorem, a sufficient condition for robust stability is derived such that the composite state feedback renders the closed-loop singularly perturbed system asymptotically stable. With this method there is no need to consider two different approaches for continuous-time and discrete-time domains. An example illustrates the methodology.