基于IGHS算法的分段系统鲁棒极点配置优化

计算机与现代化

基于IGHS算法的分段系统鲁棒极点配置优化

渤海大学大学基础教研部，辽宁锦州121013

收稿日期:2015-02-02 出版日期:2015-04-27 发布日期:2015-04-29
作者简介: 翟军昌(1978-)，男，辽宁东港人，渤海大学大学基础教研部讲师，研究方向：优化计算。
基金资助:
国家自然科学基金资助项目(61104106)

Robust Pole Assignment Optimization Based on IGHS Algorithm #br# for Piecewise Linear Systems

Department of Basic Teaching and Research, Bohai University, Jinzhou 121013, China

Received:2015-02-02 Online:2015-04-27 Published:2015-04-29

摘要/Abstract

摘要：

针对分段线性控制系统鲁棒极点配置问题，利用IGHS算法对特征向量矩阵条件数优化具有较好的收敛性，限制了特征向量选择的自由度。优化后的控制器使闭环系统矩阵允许有更大的摄动

或不确定性。与已有方法相比，本文方法对条件数优化计算既不需要考虑梯度和二次可微信息，也不需要对条件数进行凸转化处理。最后，仿真实验结果验证了本方法的有效性。

关键词: , 和声搜索, 极点配置, 条件数, 状态反馈

Abstract:

In this paper, robust pole assignment problem for piecewise linear control systems using an improved global harmony search (IGHS) algorithm has been addressed,

which restricts the degrees of freedom in the choice of eigenvectors and has a good convergence. The closed-loop system has a maximum allowable perturbation or uncertainty with

the optimal controller. In contrast to most existing methods, not only the gradient and differentiability information of the nonlinear robust measure objective function is

unconsidered, but also the character of concave or convex about the optimization problem is unconsidered. Finally, the simulation results demonstrate the effectiveness of the

proposed method.

Key words: harmony search, pole assignment, condition number, state feedback

翟军昌. 基于IGHS算法的分段系统鲁棒极点配置优化[J]. 计算机与现代化.

ZHAI Jun-chang. Robust Pole Assignment Optimization Based on IGHS Algorithm #br# for Piecewise Linear Systems[J]. Computer and Modernization.

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