基于混沌优化的多变量系统最优控制器设计  

Optimal Controller Design for Multivariable System Based on Chaos Optimization

作　　者：张绍德[1] 李生权[1] 

机构地区：[1]安徽省电力电子与运动控制重点实验室,安徽工业大学电气信息学院,马鞍山243002

出　　处：《电子测量与仪器学报》2008年第4期86-89,共4页Journal of Electronic Measurement and Instrumentation

基　　金：安徽省“十五”攻关项目资助(编号:01012053);安徽省省教育厅自然科学基金资助项目(编号:2004KJ059)

摘　　要：基于混沌变量,本文提出一种多变量系统的最优控制器设计方案。针对二次型最优控制中加权矩阵难以确定的问题,引入一种全新的性能指标,实现混沌大范围粗搜索和局部细搜索相结合,搜索出全局最优的权系数。并对通过该方法确定加权阵的LQ控制系统的稳定性进行了分析。最后,本方案在实物二级倒立摆上进行了实验,实验结果证明了该最优控制器设计方法的有效性和实用性。The optimal controller design for muhivariable system is proposed based on chaotic variable in this paper. The method of chaos optimization is proposed, which is based on a new performance index and designed for weighted matrix of LQ controller to solve the difficulty of determining the weighted matrix. The chaotic variable is applied to get global optimum weight coefficient by means of combining global and partial chaos searches. The stability of the linear quadratic control system obtained by this approach is analyzed. Experiment of double inverted pendulum was carried out. The real-time control curves obtained from the experiment demonstrate the effectiveness and practicability of this method.

关 键 词：混沌优化 多变量系统 最优控制器 二级倒立摆 性能指标 

分 类 号：TP273.1[自动化与计算机技术—检测技术与自动化装置]