Abstract:

A novel control scheme combining the fuzzy logic system, nonlinear track differentiator and extended state observer (ESO) is presented for a class of nonlinear chaotic systems with non-affine inputs and uncertainties based on backstepping. During the design procedure, the ESO is employed to estimate the uncertainties and disturbance in the system and the fuzzy logic system with additional error compensation term is used to approximate the unknown parts which cannot be dealt with by ESO. Meanwhile, the nonlinear track differentiator is adopted to approximate the derivative of the virtual control. Lyapunov stability analysis certificates that the closed loop errors will asymptotically converge to arbitrary small region of origin point. Simulation results of chaotic systems with non-affine inputs, modeling uncertainties and external disturbances and simulation for nonlinear cascaded system in reference illustrate the feasibility and effectiveness of the proposed method.