Adaptive fuzzy nonlinear inversion-based control for uncertain chaotic systems

This paper presents a robust output feedback control method for uncertain chaotic systems which comprises a nonlinear inversion-based controller with a fuzzy robust compensator. The proposed controller eliminates the unknown nonlinear function by using a fuzzy system, whose inputs are not the state variables but feedback error signals. The underlying stability analysis as well as parameter update law design are carried out by Lyapunov-based technique. The proposed method indicates that the nonlinear inversion-based control approach can also be used to uncertain chaotic systems. Theoretical results are illustrated through two simulation examples.