Robust Fixed Time Control of a Class of Chaotic Systems with Bounded Uncertainties and Disturbances

This paper investigates the fixed time control of a class of chaotic systems with uncertainties and disturbances via a novel fixed time theorem. By using variable substitution to calculate definite integral, a sufficient condition for fixed-time stability is firstly derived. Then, based on the given fixed time stable theory, a new nonlinear slide mode surface is proposed. By using a novel robust controller, the system’s state trajectories are driven to its origin in a fixed time which is independent on the initial value. The control strategy is applied to the permanent magnet synchronous motor (PMSM) chaotic system, and the results of numerical simulation demonstrate the effectiveness of the proposed schemes.