圆形区域内鲁棒极点配置优化

Optimization of pole assignment in a circular region

中文关键词  和声搜索算法  极点配置  状态反馈  控制器

英文关键词  harmony search algorithm  pole assignment  state feedback  controller

中文摘要

      本文基于和声搜索算法将精确极点配置的思想推广到圆形区域极点配置, 通过对圆域内极点全局优化的 方法, 实现圆域内鲁棒极点配置问题. 首先, 基于几何原理描述极点在圆形区域内的位置信息, 确定了在圆形区域内 动态选择极点的规则, 可以保证算法在圆形区域内动态选取极点. 然后, 对圆形区域内的极点, 基于精确鲁棒极点 配置的思想, 利用和声搜索算法优化摄动或不确定性的谱范数上界, 从而得到一组允许闭环系统具有更大摄动或不 确定性的极点及相应的状态反馈控制器. 最后, 通过实例进行仿真, 仿真结果表明本文采用和声搜索算法全局优化 动态选择极点方法得到的闭环系统具有更好的鲁棒性.

英文摘要

      The idea of exact robust pole assignment is extended to region poles assignment by means of global optimization for poles in the circular region based on Harmony Search algorithm. First, a geometric description method for the position information of poles within the circular region is proposed to formulate the rules for the dynamic selection of poles, so that the algorithm can select poles dynamically from the circular region. Then, for the circular region poles, the harmony search algorithm is employed to optimize the upper bound of spectral norm for the perturbation or the uncertainty based on the idea of exact pole assignment. By this way, a set of poles and the corresponding robust state feedback controllers can be obtained, which allow the closed-loop system to have a maximum allowable perturbation or uncertainty. Finally, simulation results of the application example demonstrate that the dynamic selection of circular region poles will provide a closed-loop system with higher robustness than the other methods.