引用本文:陈 虹, 韩光信, 刘志远.基于LMI的约束系统H控制及其滚动优化实现[J].控制理论与应用,2005,22(2):189~195.[点击复制]
CHEN Hong, HAN Guang-xin, LIU Zhi-yuan.LMI-based H-infinity control scheme for constrained systems and its moving horizon implementation[J].Control Theory and Technology,2005,22(2):189~195.[点击复制]
基于LMI的约束系统H控制及其滚动优化实现
LMI-based H-infinity control scheme for constrained systems and its moving horizon implementation
摘要点击 1706  全文点击 2023  投稿时间:2003-04-08  修订日期:2004-04-29
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DOI编号  
  2005,22(2):189-195
中文关键词  时域硬约束  H性能  LMI优化  预测控制
英文关键词  time-domain hard constraints  H-infinity performance  LMI optimization  model predictive control
基金项目  国家自然科学基金资助项目(60374027); 教育部科学技术研究重点项目资助(00038); 国家高技术研究发展计划资助项目(2003AA412210).
作者单位
陈 虹, 韩光信, 刘志远 吉林大学 控制科学与工程系,吉林 长春 130025
哈尔滨工业大学 控制科学与工程系,黑龙江 哈尔滨 150001 
中文摘要
      在LMI优化框架下,讨论有时域硬约束线性系统的H控制问题.首先提出了一种基于LMI优化的状态反馈方法,并给出了闭环系统保证H性能和满足时域硬约束的条件.在此基础上,融合预测控制的滚动优化原理讨论了一种滚动时域H性能控制方法.通过对H性能指标γ的在线最小化,闭环系统能实时协调控制性能要求和硬约束,并充分利用有限的控制能力提高控制性能.
英文摘要
      In the framework of LMI(Linear Matrix Inequality) optimization,this paper addresses the H-infinity control problem for linear systems with time-domain hard constraints.An LMI-based state-feedback solution is presented and conditions for guaranteeing closed-loop H-infinity performance and satisfying the time-domain constraints are given.Combining the moving horizon principle of model predictive control,a moving horizon H-infinity performance control scheme is discussed.By minimizing the H-infinity performance index on-line,the closed-loop system is able to manage the trade-off between required high performance and satisfying hard constraints,and to enable the most of the limited control to achieve good performance.