状态不可测的混沌系统不稳定平衡点控制方法

摘要

文中研究了连续混沌系统在状态信息不可测的情形下，连续混沌系统不稳定平衡点的控制问题，提出一类连续混沌系统不稳定平衡点的控制方法。首先对连续混沌系统进行状态观测器的设计，同时给出观测器增益矩阵的求解方法；然后利用观测器观测的状态进行反馈，设计连续混沌系统的状态反馈控制器，同时给出控制器增益矩阵的求解方法；最后以蔡氏电路为例对所提出的方法进行仿真分析，给出最终的仿真图形及结果。分析结果验证了文中方法的正确性和有效性。%It studies the control problem of unstable equilibrium point of continuous chaotic systems with unmeasured state variables,and proposes a control method for a class of continuous chaotic systems. First,design a state observer for the continuous chaotic systems,and give the solution of state observer gain matrix. Then design a state feedback controller of continuous chaotic system using the observed state variables,and give the solution of controller gain matrix. Finally,the proposed control method is applied to the Chua's circuit,and the simulation figures and results are given,verifying the correctness and effectiveness of the proposed method.