Model-Independent Adaptive Control of Chua's System with cubic Nonlinearity

This paper proposes a linear adaptive state feedback controller which achieves asymptotic tracking of the controlled cubic Chua’s system. The gain vector is tuned using an adaptation law derived using the Lyapunov stability theory. The aim is to design an adaptive controller that mimics a predetermined input–output linearizing controller known for its effective performance in output tracking. We show that the system model is not necessary to construct the controller. We also show that synchronization of two cubic Chua’s systems can be achieved. Numerical simulations are presented to illustrate the efficiency of the proposed scheme.