一种分数阶混沌系统同步的自适应滑模控制器设计

Design of an adaptive sliding mode controller for synchronization of fractional-order chaotic systems

针对分数阶混沌系统的同步问题,基于滑模控制理论和自适应控制理论,设计了一个具有较强鲁棒性的分数阶积分滑模面,并提出了一种自适应滑模控制器在不消除非线性项的情况下实现一类三维分数阶混沌系统同步的方法.利用所设计的自适应滑膜控制器实现了分数阶Chen系统、分数阶Liu系统以及分数阶Arneodo系统的混沌同步.数值模拟仿真结果验证了所设计的控制器的有效性和可行性.

In this paper, the synchronization of fractional-order chaotic systems is investigated. Based on sliding mode control and adaptive control theory, a fractional order integral sliding surface with strong robustness is designed, and an adaptive sliding controller is proposed for synchronizing the fractional-order chaotic systems with retaining the nonlinear part. Numerical simulations on synchronizing the Chen chaotic systems, the Liu chaotic systems, and Arneodo chaotic systems are carried out separately. The simulation results show the validity and feasibility of the adaptive sliding controller.