Disturbance Observer-Based Nonsingular Finite Time Control Scheme for a Class of Chaotic Systems

The current article suggests a new non-singular fast terminal sliding controller approach for a class of chaotic systems subject to exterior disturbances and time-varying nonlinear terms. The approach combines the estimation properties of disturbance observers with the robustness features of sliding mode control. The disturbance estimator is designed to ensure the convergence of disturbance approximate error to origin in the finite time, whereas the proposed stabilizing controller guarantees the existence of switching behavior around switching surface in the finite time. The performance of proposed approach was evaluated using a Wang-Chen chaotic system subject to external disturbances and time-varying nonlinearities. Achieving good dynamic behavior with reduced chattering without requiring any information about upper bound of disturbance are among the positive features of the proposed design.