State Estimation and Tracking Control of Nonlinear Dynamical Systems

Abstract

In this paper state estimation and feedback tracking control methods for nonlinear systems are presented. The methods, which are based on the "state-dependent Riccati equation", allow the construction of nonlinear estimators and nonlinear feedback tracking controls for a wide class of systems. Our emphasis will be on development of computational methods that are easily implementable as well as efficient. Simulation results of the performance of the nonlinear estimator and tracking control are included. In addition, comparisons with the linear estimator and linear tracking control found through the linearized system are also made.