Topics in feedback control stabilization.

Abstract

In this dissertation, we first show that for a class of uncertain nonlinear systems, the robust output feedback stabilizability is equivalent to the existence of robust output Lyapunov functions with the small control property. This is a generalization of a previous result of Tsinias and Kalouptsidis (1) (2). Then we construct state feedback and output feedback controls for some specific uncertain systems using either variable structure controls or continuous feedback controls. The feedback controls are designed to compensate for uncertainties and disturbances present in the systems. Some control designs are robust versions of those proposed by Gu (6).