一类混沌系统的反馈控制

Feedback control for a class of chaotic systems

研究了混沌系统的镇定问题.给出了具有范数有界的混沌系统存在Lyapunov镇定控制律的充分条件.在此基础上,将该条件的存在性转化为一个线性矩阵不等式可行解的存在性,借助线性矩阵不等式方法,得到了混沌系统镇定的状态反馈控制律.以Lorenz系统作为典型的例子,验证了这种控制律的有效性.

This paper studies a problem of stabilizability of chaotic systems with norm-bounded. A sufficient condition of such chaotic systems for the existence of Lyapunov-type control law is derived, and it shows that a certain condition is equivalent to the solvability of a certain linear matrix inequality（LMI）, its solution provides a stabilization control law. Finally, the Lorenz system is taken as typical example to demonstrate the effectiveness of this method.