Stabilization of Chaotic Systems Using Robust Optimal Controller

摘要

In this paper, a robust optimal controller is proposed to stabilize chaotic systems. Chaos is a highly nonlinear system. A small change in parameters shows different characteristics. Robust controller is suitable to stabilize the chaotic system. To minimize the control effort the optimal controller is incorporated with the robust controller. Optimal controller based on state-dependent Riccati equation is designed for known part of the system to minimize the control effort. Whereas robust controller is designed to tackle the uncertain part of the system. The proposed controller is employed to the Lorenz chaotic system. In simulation, the proposed controller is compared with the existing robust controller.