引用本文:舒伟仁, 张庆灵.区间离散广义系统状态反馈鲁棒H控制[J].控制理论与应用,2004,21(5):800~803.[点击复制]
SHU Wei-ren, ZHANG Qing-ling.State feedback robust H-infinity control for interval discrete-time singular systems[J].Control Theory and Technology,2004,21(5):800~803.[点击复制]
区间离散广义系统状态反馈鲁棒H控制
State feedback robust H-infinity control for interval discrete-time singular systems
摘要点击 1423  全文点击 937  投稿时间:2003-06-20  
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DOI编号  10.7641/j.issn.1000-8152.2004.5.026
  2004,21(5):800-803
中文关键词  区间矩阵  离散广义系统  状态反馈  鲁棒H控制
英文关键词  interval matrix  discrete-time singular systems  state feedback  robust H-infinity control
基金项目  辽宁省普通高校学科带头人基金资助项目(124210); 辽宁省科技基金资助项目(2001401041).
作者单位
舒伟仁, 张庆灵 东北大学 理学院,辽宁 沈阳 110004
江南大学 理学院,江苏 无锡 214063 
中文摘要
      讨论了一类区间离散广义系统的状态反馈鲁棒H控制问题.在给出区间离散广义系统的等价描述之后,基于系统参数矩阵不等式,得到了问题可解的充分条件,并给出了状态反馈控制器显式表示.所得的控制器保证闭环系统正则,具有因果关系,稳定并且满足给定的H性能指标.数值例子说明了该方法的正确性.
英文摘要
      The problem of state feedback robust H∞ control for a class of interval discrete-time singular systems is discussed.Firstly,a kind of equivalent description of the interval discrete-time singular systems was given.Then a sufficient condition for the solvability of the problem and the explicit expression of state feedback robust H-infinity controller were obtained in terms of matrix inequalities.The designed controller guaranteed that the closed-loop systems was regular,causal,stable and (satisfying) a prescribed H-infinity norm bounded constraint.Finally,an example was given to demonstrate the effectiveness of the proposed method.