基于混沌优化的PID控制器在不稳定系统中的设计

Design of PID controller based on chaos optimization in unstable system

提出了一种规范化PID控制器参数混沌优化方案,并且利用增广Hermite-Biehler定理,讨论了不稳定被控对象闭环稳定的规范化PID控制器参数取值范围,在这取值范围内将混沌变量引入规范化PID参数的优化搜索,具有更强的搜索PID参数近似全局最优值的能力。仿真结果表明,该算法能有效地实现PID参数最优整定,为解决PID控制器参数近似全局最优设计提供了一种有效的方法。

In this paper, the method for searching for normalization PID controller parameters is proposed based on chaotic variable. At first, with the generation of Hermite-Biehler theorem, the stabilizing domain of normalization PID controller parameters for unstable plant is given analytically. In the stabilizing domain, normalization PID controller parameters are searched by using chaos variable, which can be expected to have higher ability of searching for global optimal PID parameters according to the performance index of control system. Simulation results show the method is efficient to realize self-tuning global optimal parameters of PID controller.