Robust sliding mode controller design of memristive Chua’s circuit systems

Aiming at the memristive Chua’s circuit system, a design method based on robust sliding mode control is proposed in this paper. Due to the complexity of quantization mismatch, communication channel noise, and external disturbances, it is very challenging and difficult to control the memristor-based circuit system. By applying delta operator discretization technology and the working principle of signal encoding and decoding, the dynamical model of the fast sampling quantization mismatched memristive circuit system is established, and the sliding surface is designed via linear matrix inequality technology to ensure the robust quadratic stability of sliding dynamics. Then, a sliding mode reaching control law is designed to realize the robust and stable operation of the memristive circuit system by the combination of delta operator theory and robust sliding mode control theory. The effectiveness and advantages of the proposed method are finally verified on the Matlab/Simulink simulation platform.