Robustness analysis and control of uncertain descriptor systems

Abstract

This thesis presents some work on the analysis and control for uncertain descriptor systems. The analysis part includes robust stability, robust closed-loop stability, and robust controllability and observability. We first deal with the stability ro-bustness of uncertain descriptor systems and derive a norm bound for uncertain descriptor systems to be regular, impulse-free and stable. The problem of the so-called robust impulse controller of the uncertain system is also considered. Then, we study a class of uncertain linear descriptor systems with interval plants, and give a necessary and sufficient condition for the so-called robust structural stabil-ity. Next, we consider the robust stability of closed-loop systems with structured perturbations under preconstructed static output feedback, and give necessary and sufficient conditions. Using the presented method, necessary and sufficient condi-tions for robust open loop stability are also established.