引用本文:史国栋, 沃松林, 邹云.参数不确定广义大系统的保性能分散控制[J].控制理论与应用,2005,22(6):913~918.[点击复制]
SHI Guo-dong,WO Song-lin,ZOU Yun.Guaranteed cost decentralized control for singular large-scale systems with parameter uncertainty[J].Control Theory and Technology,2005,22(6):913~918.[点击复制]
参数不确定广义大系统的保性能分散控制
Guaranteed cost decentralized control for singular large-scale systems with parameter uncertainty
摘要点击 1638  全文点击 1833  投稿时间:2004-02-23  修订日期:2005-01-24
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DOI编号  10.7641/j.issn.1000-8152.2005.6.012
  2005,22(6):913-918
中文关键词  不确定系统  线性矩阵不等式  分散控制  保性能控制
英文关键词  uncertain systems  linear matrix inequality(LMI)  decentralized control  guaranteed cost control
基金项目  国家自然科学基金资助项目(60474078); 江苏高校自然科学计划项目资助(04KJD120016).
作者单位
史国栋, 沃松林, 邹云 南京理工大学 自动化系,江苏南京210094
常州信息职业技术学院 基础部,江苏常州213164 
中文摘要
      对一类范数有界时不变参数不确定的连续广义大系统和一个二次型性能指标,研究了其保性能分散控制问题.目的是设计一状态反馈分散控制器,使得对所有容许的不确定性,闭环系统不仅是鲁棒稳定的,而且性能指标有一上界.应用线性矩阵不等式方法,给出了一个用线性矩阵不等式表达的保性能分散控制器存在的充分条件;在此条件可解时,给出了保性能分散控制律的表达式.最后,举例说明了该方法的应用.
英文摘要
      The problem of guaranteed cost decentralized control for continuous-time singular large-scale systems with a quadratic cost function is considered.The system under discussions is subject to norm bounded time-invariant parameter uncertainty in all the matrices of model.The aim is to design a state feedback decentralized controller such that the closed-loop system is not only robustly stable but also guarantees an adequate level of performance for all admissible uncertainties.A sufficient condition for the existence of guaranteed cost decentralized controllers is also given in terms of linear matrix inequalities(LMIs) via linear matrix inequality approach.When this condition is feasible,the desired state feedback decentralized controller gain matrices can then be obtained.An illustrative example is also proposed to demonstrate the effectiveness of the proposed approach.