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基于状态反馈的广义T-S模糊系统鲁棒H_∞控制

State Feedback Robust H_∞ Control for T-S Fuzzy Descriptor Systems

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【作者】 朱宝彦张庆灵笪可宁

【Author】 ZHU Bao-yan~1, ZHANG Qing-ling~1, DA Ke-ning~2 (1. School of Science, Northeastern University, Shenyang 110004, China; 2. Shenyang Arch. and Civ. Eng. Univ., Shenyang 110168, China. Correspondent: ZHU Bao-yan, associate professor, E-mail: zby1109 @ 163.com)

【机构】 东北大学理学院沈阳建筑工程学院 辽宁沈阳 110004辽宁沈阳 110004辽宁沈阳 110168

【摘要】 分别讨论了子系统和全局系统的正则、无脉冲、稳定的关系,举例说明了子系统的正则、无脉冲、稳定并不能保证全局系统的正则、无脉冲、稳定·说明了对其进行研究的可行性和必要性·研究了一类广义T S模糊系统鲁棒控制问题·给出了设计该状态反馈控制器保证闭环系统稳定并满足一定性能指标的充分条件·使用LMI方法表示了此条件,算例显示了该方法的简易有效·

【Abstract】 The relations among the fuzzy descriptor subsystems and the overall systems are discussed on the regularity, impulse-free and stability. It is illustrated that the regularity, impulse-free and stability of the subsystems cannot guarantee those of the overall fuzzy descriptor systems composed of such subsystems. For this reason, it is possible and necessary to study the systems. A class of robust H_∞ control for T-S fuzzy descriptor systems with regularity and impulse-fee is thus discussed. The sufficient conditions are given, under which a state feedback controller can be designed to provide the stability of the closed-loop system and satisfy the H_∞-performance. The sufficient conditions are expressed via LIM. The simplicity and effectiveness of the control method proposed is shown by an example.

【基金】 辽宁省普通高校学科带头人基金资助项目(124210)
  • 【文献出处】 东北大学学报 ,JOURNAL OF NORTHEASTERN UNIVERSITY , 编辑部邮箱 ,2004年05期
  • 【分类号】TP13
  • 【被引频次】15
  • 【下载频次】239
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