振动系统低阶H_∞控制器的遗传算法优化设计

英文篇名：Genetic Algorithms Optimization Design of Lower Order H_∞ Controller for Vibration Systems
中文刊名：鲁东大学学报(自然科学版)
英文刊名：Ludong University Journal(Natural Science Edition)
作者：陈丽换 ; 张慧凤 ; 吴凌尧 ; 魏新江
英文作者：CHEN Li-huan 1 ; 2a ; ZHANG Hui-feng3 ; WU Ling-yao 2b ; WEI Xin-jiang 3(1.Department of Electrical and Mechanical Engineering ; Jinling technology School ; Nanjing 210090 ; China ; 2.Southeast University ; a.College of Mechanical engineering ; b.Research Institute of Automation ; Nanjing 210096 ; China ; 3.School of Mathematics and Information ; Ludong University ; Yantai 264025 ; China)
中文关键词：结构振动 ; 鲁棒主动控制 ; 遗传算法 ; 低阶H∞控制
英文关键词：structure vibration ; robust active control ; genetic algorithm ; low-order H∞ control
出版日期：2008-09-15
机构：金陵科技学院机电工程学院;东南大学机械学院;鲁东大学数学与信息学院;东南大学自动化学院;
年：2008
期：03
出版单位：鲁东大学学报(自然科学版)

摘要

针对结构振动系统的高阶控制器实现困难、可靠性低及成本较高的问题,提出了一种新的基于H∞控制和遗传算法优化的低阶控制器设计方法,采用LMI求解与遗传算法随机搜索相结合的方法来进行优化的策略,在一定条件下能方便地设计出理想阶数的控制器.通过仿真实例验证了方法的有效性.
A novel type of lower order controller for vibration systems based on H∞ control and genetic algorithms is proposed,which can deal with the difficulty of the high order controller,lower reliability and realization of software and hardware.Using the composite strategies of LMI resolving and multi-objective random searching by genetic algorithms,the desired order controller can be designed easily under some conditions,and simulations are given to demonstrate the effectiveness of the results.

引文

[1]王洪礼,石磊,刘文革,等.汽车悬架系统非线性振动的主动控制[J].机械强度,2000,22(3):165—167.
    [2]王刚,欧进萍.结构振动的模糊建模与模糊控制规则提取[J].地震工程与工程振动,2004,21(2):130—135.
    [3]李普,孙庆鸿,陈南.基于结构奇异值μ综合的振动系统鲁棒控制[J].振动工程学报,2002,15(4):451—454.
    [4]吴凌尧,李文章,郭雷.存在非线性摄动和外部扰动的结构系统的主动控制[C]∥孙优贤.第十七届中国过程控制会议论文集.南京:江苏电子音像出版社,2006:445—449.
    [5]杜海平.结构振动鲁棒控制策略研究[D].上海:上海交通大学振动、冲击、噪声国家重点实验室,2002.
    [6]Wang S G,Yen H Y,Roschke P N.Robust control for structural systems with parametric and unstructured uncertainties[J].Journal of Vibration and Control,2001,7:753—772.
    [7]Wang S G,Roschke P N,Yen HY.Simulation of robust control for uncertain structural systems against earthquakes[C]∥XI Yu-geng.Proceedings of the Fourth Worth Congress on Intelligent Control and Automation.Shanghai:East China Uni-versity of Science and Technology Press,2002.1681—1686.
    [8]欧进萍.结构振动控制———主动、半主动和智能控制[M].北京:科学出版社,2003:80—97.
    [9]Du Haiping,James Lam,Kam Yim Sze.Non-fragileH∞vibration control for uncertain structural systems[J].Journal ofSound and Vibration,2003,2004,273:1031—1045.