Robust Synchronization of Class Chaotic Systems Using Novel Time‐Varying Gain Disturbance Observer‐Based Sliding Mode Control

Abstract

For synchronization of a class of chaotic systems in the presence of nonvanishing uncertainties, a novel time-varying gain observer-based sliding mode control is proposed. First, a novel time-varying gain disturbance observer (TVGDO) is developed to estimate the uncertainties. Then, by using the output of TVGDO to modify sliding mode control (SMC), a new TVGDO-based SMC scheme is developed. Although the observation and control precision of conventional fixed gain disturbance observer-based control (FGDOC) for chaotic systems can be guaranteed by a high observer gain, the undesirable spike problem may be caused by the high gain if the initial values of estimate and true states are not equal. The most attractive feature of this work is that the newly proposed TVGDO can eliminate the spike problem by developing a time-varying gain scheme. Finally, the effectiveness of the proposed method is demonstrated by the numerical simulation.

Spiking-free disturbance observer-based fixed-time sliding mode control of maximum power extraction from wind turbine

“…To achieve the observer precision, the DO need to design the high observer gain. However, when observer gain is high, the spiking problem may occur if the initial estimate and true states are not equal ( Pu et al, 2015; Wang et al, 2021b; Zhao and Guo, 2015). Thus, it is necessary to design the spiking-free method for the DO-based SMC scheme.…”