引用本文:徐慧玲,盛梅,邹云,郭雷.2-D奇异系统Roesser模型的鲁棒H∞控制[J].控制理论与应用,2006,23(5):703~705.[点击复制]
XU Hui-ling, SHENG Mei, ZOU Yun, GUO Lei .Robust H-infinity control for uncertain 2-D singular Roesser models[J].Control Theory and Technology,2006,23(5):703~705.[点击复制]
2-D奇异系统Roesser模型的鲁棒H∞控制
Robust H-infinity control for uncertain 2-D singular Roesser models
摘要点击 1666  全文点击 909  投稿时间：2004-10-08  修订日期：2005-08-16
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DOI编号  
  2006,23(5):703-705
中文关键词  2-D奇异系统  跳跃模  鲁棒HH∞控制  矩阵不等式
英文关键词  2-D singular systems  jump modes  robust H-infinity control  matrix inequalities
基金项目  国家自然科学基金资助项目(60674014,60474078); 南京理工大学科研发展基金资助项目; 江苏省博士后科研资助计划(0601010B)
作者单位
徐慧玲,盛梅,邹云,郭雷 南京理工大学应用数学系,江苏南京210094
南京理工大学自动化系,江苏南京210094
东南大学自动化研究所,江苏南京210096 
中文摘要
      考虑具有参数不确定性的2-D奇异系统Roesser模型(简称2-D SRM)鲁棒H∞控制问题．在给出界实引理的另一等价形式的基础上,通过求解矩阵不等式,给出了不确定2-D奇异系统鲁棒H∞控制问题可解的充分条件及静态状态反馈控制律设计的代数表达式．最后通过一个仿真算例验证了方法的有效性．
英文摘要
      This paper discusses the problem of robust H-infinity control for linear discrete time 2-D singular Roesser models (2-D SRM) with parameter uncertainty. The purpose is the design of state feedback controllers such that the resulting closed-loop system is acceptable, jump modes free, stable and satisfies a specified H-infinity performance level for all admissible uncertainties. An equivalent form of bounded realness of 2-D SRM is established in terms of linear matrix inequalities. Based on this, a sufficient condition for the solvability of the robust H-infinity control problem for linear discrete time uncertain 2-D SRM is then presented, and a desired state feedback controller can also be derived by solving a set of matrix inequalities. Finally, numerical example is provided to demonstrate the applicability of the proposed approach.