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线性系统区域稳定的可靠控制
引用本文:王福忠,姚 波,张嗣瀛.线性系统区域稳定的可靠控制[J].控制理论与应用,2004,21(5):835-839.
作者姓名:王福忠  姚 波  张嗣瀛
作者单位:1. 沈阳工程学院,基础部,辽宁,沈阳,110036;东北大学,信息科学与工程学院,辽宁,沈阳,110004
2. 沈阳师范大学,数学与系统科学学院,辽宁,沈阳,110034
3. 东北大学,信息科学与工程学院,辽宁,沈阳,110004
基金项目:辽宁省教育厅重大软科学项目(202263357).
摘    要:针对线性系统,提出了抵御系统执行器故障和不确定性的状态反馈区域稳定可靠控制设计问题.通过对具有连续增益故障控制系统的分析,给出了区域稳定可靠控制器存在的充分条件和设计方法.所设计的区域稳定可靠控制器可以消除执行器故障对闭环系统极点配置的影响.使用线性矩阵不等式(LMI)表示的结果能够容易得到可靠控制增益的数值解.通过CH-47双旋翼直升机的实例仿真验证了该结果的可行性.通过比较区域稳定正常控制系统和可靠控制系统,进一步说明对系统进行可靠控制设计的必要性.

关 键 词:执行器故障  传感器故障  区域稳定  可靠控制  线性矩阵不等式
文章编号:1000-8152(2004)05-0835-05
收稿时间:2003/7/11 0:00:00

Reliable control of regional stabilizability for linear systems
WANG Fu-zhong,YAO Bo,ZHANG Si-ying.Reliable control of regional stabilizability for linear systems[J].Control Theory & Applications,2004,21(5):835-839.
Authors:WANG Fu-zhong  YAO Bo  ZHANG Si-ying
Institution:Basic Science Course Department,Shenyang Institute of Engineering,Shenyang Liaoning 110036,China; School of Information Science and Engineering,Northeastern University,Shenyang Liaoning 110004,China; College of Mathematics and Systems Science,Shenyang Nor
Abstract:The reliable control design of regional stabilizability for linear systems is presented to avoid plant uncertainty and actuator faults.Based on the analysis of systems with continuous gain faults,the sufficient conditions for the existence of regional stabilizability reliable control synthesis were given,and then,the corresponding synthesis conditions for the reliable controllers were developed.The results were cast conveniently into a linear matrix inequality (LMI) framework,which could be solved numerically.The CH-47 helicopter flight control example was given,the computer simulation result illustrated the validity and effectiveness of the proposed methods.Furthermore,the necessity of the reliable design was addressed via the comparisons of the normal control and the reliable control.
Keywords:actuator fault  sensor fault  regional stabilizability  linear matrix inequality
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