Robust Control Analysis and Design for Discrete-time Singular Systems

Abstract

In this paper, we propose a simple approach to analyze stability robustness of discrete-time singular systems under structured perturbations, The developed robustness criteria are then applied to solve robust regional pole-assignment problems of singular systems. A robust control design algorithm, via state feedback, is also given. The robust stability problem of singular systems is more complicated than that of regular systems, Not only stabiliti robustness but system regularity and impulse elimination should be considered simultaneously. This is the first paper, as far as we are aware, to deal with the problems about robust stability analysis and robust control design for singular systems with structured uncertainties. Although only discretetime case is discussed, several results can be directly applied to continuous-time systems as well.