Anti-Chaos Control Of A Servo System Using Nonlinear Model Reference Adaptive Control

This work presents a method for anti-chaos control of a servo system affected by parametric uncertainty and constant disturbances. It is based on Nonlinear Model Reference Adaptive Control where the reference model corresponds to a chaotic Duffing oscillator. Only upper and lower bounds on the servo system input gain are assumed known beforehand. It is shown that the solutions of the closed-loop system are Uniformly Ultimately Bounded. Moreover, the chaotic behaviour of the servo system position is verified through the Largest Lyapunov Exponent. The proposed control methodology is tested through experiments. (c) 2020 Elsevier Ltd. All rights reserved.