Adaptive Sliding Mode Fault-tolerant Control for Chaotic Systems with Network Faults
LUO Sunxiaoyu1, ZHU Kexin1, CHEN Tianzhi1, ZHAO Fuyu2,3, ZHAO Liang1
1. College of Automation, Qingdao University, Qingdao 266071, China; 2. Shandong Mingyuan Intelligent Equipment Co, LTD, Zaozhuang 277400, China; 3. College of Electrical Engineering and Automation, Shandong University of Science and Technology,Qingdao 266590, China
Abstract：A novel adaptive sliding mode control strategy is proposed for a class of chaotic systems with the signal attenuation, network degradation, and nonlinear coupling characteristics, to solve the problem of robust fault-tolerant control and synchronization of chaotic systems. An integral sliding manifold for chaotic synchronization is presented, and an adaptive law is designed to estimate the control gain, and the updated control gain and integral gain are used to construct an adaptive sliding mode controller. Based on the Lyapunov stability theory, it is proved that the designed controller can ensure the asymptotic synchronization of chaotic systems with faults and perturbed couplings. The effectiveness and applicability of the proposed method are verified by the numerical simulation, which provides a new idea for the robust fault-tolerant control and synchronization of chaotic systems.
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