Adaptive Control and Synchronization of Chua's Circuits

In this work, we address the adaptive control and synchronization problems of Chua's circuits with unknown system parameters. Adaptive controllers with single state feedback are derived such that the trajectory of the Chua's circuit is globally stabilized to an equilibrium point of the uncontrolled system. In addition, the proposed adaptive control schemes are then applied to achieve state synchronization of two identical Chua's circuits. Furthermore, based on the Lyapunov approach, the closed‐loop systems are proved to be globally exponentially or asymptotically stable. Numerical results and Pspice simulations demonstrate the proposed control scheme's effectiveness.