ON THE STABILIZATION OF NONLINEAR CONTROL SYSTEMS SUBJECT TO STOCHASTIC DISTURBANCES AND INPUT CONSTRAINTS

Abstract

This thesis investigates the broad theme of guaranteeing the stability of nonlinear control systems. In the first section, we describe the application of discrete controller for the stabilization of certain nonlinear stochastic control systems subject to unavailability of state measurements. In the second section, we consider input constrained nonlinear systems and characterize the region from which stabilization to the origin is possible. We then use this information to design a controller which stabilizes everywhere in this set.