Stabilization and Control of Chaos Based on Nonlinear Dynamic Inversion

A state feedback nonlinear control design approach for the stabilization of chaotic phenomenon of Chua's circuit is presented in this paper. Following the feedback linearization based dynamic inversion method, the nonlinear dynamic behavior of the Chua's circuit is projected into an equivalent linearize dynamic error framework. Such design mechanism inherently suppresses the chaotic nature of Chua's circuit dynamics and enforces the system states (essentially capacitive voltage and inductive current) to asymptotically stabilize around equilibrium conditions. The stability of the controlled Chua's circuit is theoretically proven with Lyapunov theory. The simulation results show the effectiveness of the proposed method.