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LMI Approach to Robust H/H2 Controller Design with Regional Poles Constraint of a Pump-Motor System
引用本文:郭初生,王向周,王渝. LMI Approach to Robust H/H2 Controller Design with Regional Poles Constraint of a Pump-Motor System[J]. 北京理工大学学报(英文版), 2006, 15(1): 57-61
作者姓名:郭初生  王向周  王渝
作者单位:School of Information Science and Technology Beijing Institute of Technology Beijing 100081 China,School of Information Science and Technology Beijing Institute of Technology Beijing 100081 China,School of Information Science and Technology Beijing Institute of Technology Beijing 100081 China
基金项目:theMinisterialLevelFoundation(20030007034)
摘    要:Whenfacing withthe practical servosystemcon-trol problem,the control systemis often required tomeet many performance indexes which include ti medomain,frequency domainand H∞/H2.Theseindex-es have explicit purpose and appliedsituation.For ex-ample,the H∞normbetween disturbance and outputrepresents the capability of noise-i mmune,the smallerthe H∞normis,the more excellent stiffness the sys-temhas.And the square of H2norm between inputand output is equal to the energy of the systempulserespo…

关 键 词:linear matrix inequality (LMI)  H_∞/H_2 robust control  regional poles placement  pump-motor system  servo system  
文章编号:1004-0579(2006)01-0057-05
收稿时间:2004-08-31

LMI Approach to Robust H/H2 Controller Design with Regional Poles Constraint of a Pump-Motor System
GUO Chu-sheng,WANG Xiang-zhou and WANG Yu. LMI Approach to Robust H/H2 Controller Design with Regional Poles Constraint of a Pump-Motor System[J]. Journal of Beijing Institute of Technology, 2006, 15(1): 57-61
Authors:GUO Chu-sheng  WANG Xiang-zhou  WANG Yu
Affiliation:School of Information Science and Technology, Beijing Institute of Technology, Beijing 100081, China;School of Information Science and Technology, Beijing Institute of Technology, Beijing 100081, China;School of Information Science and Technology, Beijing Institute of Technology, Beijing 100081, China
Abstract:The time domain guideposts requirements of a pump-motor system is transfered into a series of constraints which express the robust performance upper bound and regional poles limits of the closed loop system. Then the servo system control problem is transferred into the problem of robust performance optimizing under regional poles constrains described by linear matrix inequality (LMI). These LMIs are easy to solve through the Matlab LMI-toolbox. Simulations indicate that the controller has excellent dynamic, static and disturbance rejection performance, and the control system is robust and has perfect H_2 performance to the bounded external torque disturbance.
Keywords:linear matrix inequality (LMI)   H∞/H2 robust control   regional poles placement   pump-motor system   servo system
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