Dynamic Surface Tracking Control Design for Rossler Chaotic Systems with Control Input Saturation and Transient Performance

In this paper, the problem of tracking control for a class of rossler chaotic systems with input saturation and transient performance is discussed. Firstly, the nonlinear dynamical models of rossler chaotic systems with input saturation are given, a transient performance bound is introduced, and the problem of guaranteeing transient performance of the tracking error is transformed into boundedness of the transformed error. Then, the adaptive tracking controller is designed in the framework of dynamic surface control. A compensation control input term is also introduced to solve the control input saturation. Further, the stability of the closed-loop systems is analyzed based on the Lyapunov stability theory. Finally, simulation results are presented to demonstrate the effectiveness of the proposed approach.