Observer-based approach for controlling chaotic systems

This paper presents a nonlinear state observer for a class of nonlinear systems which have an output dependent nonlinearity. By the observer design scheme proposed herein, an observer-based linear state feedback control approach is then derived to stabilize this class of systems. Analysis results indicate that both error dynamics and the subsequent closed-loop system can be made exponentially stable. The control strategy is also applied to two well-known chaotic systems: Rossler chaos and Lorenz chaos. Numerical simulations demonstrate the effectiveness of the proposed scheme.