Optimal Control of a New Chaotic System Using Linear Feedback
Lei Zhao · Jisuanji fangzhen · 2009
In order to realize the stabilizing control of a new chaotic system and minimize the given quadratic performance,the dynamic behaviors of a new chaotic system are first described. Then a quadratic performance is given and a simple linear state feedback controller is designed based on Pontryagin Minimum Principle and the resulted control law is proved to be optimal control. The system orbit can be controlled to its originally unstable zero equilibrium point by the designed controller. The structure of the controller is simple and the controller is easy to attain. Based on Lyapunov functional method,the stability of the system is proved. Simulation results of the transient process of the states of the closed control system are provided to demonstrate the effectiveness of the suggested scheme.