利用滑模变结构控制的混沌同步控制

利用滑动模态控制研究了含有不确定性的混沌系统的同步控制问题。用极点配置和LMI方法设计的切换函数保证了带有非线性项的滑动模态混沌同步,用指数滑模到达条件给出了鲁棒混沌同步控制器设计。由于控制器的设计是基于滑动模态的不变性和线性矩阵不等式方法给出的,与常规方法相比较,给出的控制器滑动模态不受干扰的影响,系统有很好的鲁棒性和快速跟踪能力;切换函数的参数可用线性矩阵不等式求解得出,计算方便,所得结果保守性小。最后以Chen系统为例,进行了混沌同步仿真,仿真结果表明所给出的方法是有效的。

Synchronization of Chaotic System by Sliding Mode Control

The synchronization of chaotic systems with uncertainty by sliding mode control is studied.Using the principle of poles assignment and LMI method,the switching function is designed to guarantee synchronization of slide mode with nonlinearity terms.Using exponent hitting condition of slide mode,a robust synchronization controller is proposed.This approach is based on the invariance of sliding mode and employs LMI approach.In contrast to the previous works,sliding mode of this controller is free from the influence of disturbace,and the system has both better robustness and quick tracking.The parameter of switching function can be solved with linear matrix inequality,therefore the computation is simple and the conservation is smaller.Finally taking Chen's chaotic system as an example,a chaos synchronous simulation results show the efficiency of the proposed method.