Robust antisynchronization of chaos using sliding mode control strategy

[摘要] The paper proposes a sliding mode control strategy-based scheme for achieving anti-synchronization between two coupled non-linear chaotic systems. The method works irrespective of whether the systems under consideration possess or lack inverse symmetry. Using a linear sliding surface, a sliding mode control input and a non-linear coupling function are designed that synchronizes the systems antiphase. Finite-time convergence of the method is established. The controller is also robust to all forms of bounded perturbations and this robustness can be easily achieved by tuning of a single controller parameter and introduction of a control vector. The controller is also made chattering-free by producing a continuous analogue of the discontinuous control input. The effectiveness of the method is established by implementing it to antisynchronize chaotic Sprott systems and Rossler systems. The results are also verified through numerical simulation work.

[学科分类] 物理（综合）

[关键词] Sliding mode control;control vector;chattering-free controller;robust chattering-free controller;Dirac delta function;robustness;finite-time convergence;reachability;sliding manifold;Sprott system;Rossler system.