Adaptive Observer-Based Stabilizer for a Class of Nonlinear Systems and its Application to Chaos Control

In this paper, output feedback strategy for stabilization of a broad class of nonlinear systems is proposed. Using the Lyapunov function analysis, a simple adaptive control system in observer plus estimated state feedback form is presented. Moreover, robustness of the proposed method under modelling errors is discussed. Then in the last part, based on the proposed method, control of some well known chaotic systems such as Lorenz, Arneodo, Lu, and Chen is considered. These chaotic systems are typical examples of nonlinear systems that control techniques found in the literatures can not be used. Chaotic systems generally satisfy Lipschitz condition and it’s useful to derive suitable control law. Simulation results show the effectiveness of the proposed method in both the state estimation and control.