Adaptive Robust Stabilization of Rossler System With Time Varying Mismatched Parameters Via Scalar Input

Abstract

This paper presents an adaptive robust controller for a class of uncertain chaotic Rossler system with timevarying mismatched parameters. The proposed controller is designed based on Lyapunov stability theory, and it is shown that using this controller all signals of the closedloop system are uniformly ultimately bounded (UUB). In addition, the proposed scheme is such that it does not require a priori information about the bound of uncertainties. Furthermore, since all the signals are UUB, the control signal is smooth and feasible to implement. Simulation results on a thirdorder Rossler system with timevarying parameters confirm the effectiveness of the proposed controller.