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研究了一类具有匹配不确定性和外部扰动的统一混沌系统。通过对误差系统进行滑模变结构控制,实现了统一混沌系统的同步,并且利用滑模控制的特点,保证了同步系统的鲁棒性。当使用传统的趋近律方式的控制率时,系统往往会产生高频抖振,控制器在实际应用中得不到良好的效果。针对这一问题,利用高阶滑模的控制率,在保证系统鲁棒性的基础上,有效地削弱了系统的抖振。通过分别对Lorenz系统和Chen系统进行仿真,验证了该策略能够实现具有外部干扰的匹配不确定统一混沌系统的同步,说明了该种控制策略的有效性与可行性。
A kind of unified chaotic system with matching uncertainty and external perturbation is studied. Through the sliding mode control of the error system, the synchronization of the unified chaotic system is realized, and the characteristics of the sliding mode control are used to ensure the robustness of the synchronization system. When using the control law of the traditional approach law, the system will often produce high frequency chattering, the controller can not get good results in practical application. To solve this problem, the control rate of high-order sliding mode is used to weaken the chattering of the system effectively while ensuring the robustness of the system. By simulating the Lorenz system and the Chen system separately, it is verified that this strategy can realize the synchronization of the uncertain uniform unified chaotic system with external disturbance. The validity and feasibility of this control strategy are illustrated.