一类多维连续线性系统的混沌反控制

针对状态矩阵具有互不相等负特征值的多维连续线性系统,提出了一种基于采样数据的混沌反控制方法·该方法首先将连续系统离散化,然后利用离散系统混沌反控制方法设计状态反馈控制器,使原来的连续系统产生Li Yorke意义下的混沌·所设计的控制器以给定的采样周期对连续系统进行采样,由采样数据构造控制器,在每个采样周期内保持控制项不变·并给出了混沌反控制律的推导及控制器参数的设计方法·数值仿真结果证实了该方法的有效性和可行性·

Chaotic Anticontrol of a Class of Multi-Dimensional Uninterrupted Linear Systems

An anticontrol method for a class of multi-dimensional uninterrupted linear systems with state matrix featured with different negative eigenvalues is proposed by using sampled data. The method makes the given multi-dimensional uninterrupted linear systems in such chaos as what Li and Yorke meant by discretizing it then designing a state feedback controller in accordance to an anticontrol method for a discrete time systems. The system state variables are sampled at a given sampling rate and they are used to construct a discrete time state feedback controller to make the continuous-time linear system chaotic. During each sampling period, the feedback control input remains unchanged. The law of chaotic anticontrol is derived with a systematic procedure of design parameters provided to the feedback controller. Simulation results verified the effectiveness of the proposed method.