Adaptive dynamic surface tracking scheme design for rössler chaotic systems with control input saturation

In this paper, an adaptive tracking control approach is developed for a class of rössler chaotic systems with control input saturation by using dynamic surface control technique. Firstly, the nonlinear dynamical models of rössler chaotic systems with control input saturation are given. Then, an adaptive tracking controller is designed in the framework of dynamic surface control, which guaranteed that all the signals of the closed-loop control systems are ultimately uniformly bounded. A compensation control input term is introduced in the design of adaptive tracking controller in order to solve the control input saturation problem. Further, the stability of the closed-loop control systems is analyzed based on the Lyapunov stability theory. Finally, simulation results are given to illustrate the feasibility of the proposed approach.