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模糊离散广义系统的鲁棒容许条件:严格LMI方法 被引量：1

Robust admissible condition of fuzzy discrete descriptor systems: strict LMI approach
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摘要 研究了T-S模糊离散广义系统的鲁棒容许性问题.对于开环标称系统,基于严格线性矩阵不等式(LMI)给出了容许性判别条件.进而基于此条件并引入新的矩阵变量,得到严格线性矩阵不等式形式的鲁棒控制器设计方案.使得通过反馈控制,闭环系统在不确定性范围内是正则、因果、稳定的.最后通过算例仿真验证方法的有效性. The robust admissible conditions for T-S fuzzy discrete descriptor systems are investigated.Based on the new strict linear matrix inequalities（LMIs）,the admissible conditions for open-loop nominal system are given.By introducing a new matrix variable,we established the sufficient conditions in terms of strict LMIs for robust controller design;the closed-loop system is regular,causal and stable for all parameter uncertainties.Numerical examples are provided to illustrate the effectiveness of the proposed design method.
作者 袁宇浩 张广明
机构地区 南京工业大学自动化与电气工程学院
出处 《控制理论与应用》 EI CAS CSCD 北大核心 2010年第12期1750-1756,共7页 Control Theory & Applications
基金 南京工业大学学科基金资助项目(39710004) 江苏省工业装备数字制造及控制技术重点实验室资助项目(BM2007201) 南京工业大学研究生精品课程项目<(智能控制>)
关键词 不确定离散广义系统 T-S模糊模型 容许性条件 线性矩阵不等式(LMI) discrete descriptor systems with uncertainties T-S fuzzy model admissible condition linear matrix in-equality（LMI）
分类号 TP13 [自动化与计算机技术—控制理论与控制工程]
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参考文献16

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共引文献8

同被引文献11

  • 1尹玉娟,刘玉忠,赵军.一类切换线性广义系统的稳定性[J].控制与决策,2006,21(1):24-27. 被引量：24
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  • 5XIE D, CHEN X. Observer-based switched control design for switched linear systems with time delay in detection of switching signal [J]. IET Control Theory and Applications, 2008, 2(5): 437- 445.
  • 6MENG Bin,ZHANG Ji-feng. Reachability conditions for switched lin- ear singular systems [J]. IEEE Trans on Automatic Control, 2006, 51 (3): 482-488.
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  • 10张霞,高岩,夏尊铨.切换线性系统稳定性研究进展[J].控制与决策,2010,25(10):1441-1450. 被引量：39

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控制理论与应用
2010年 第12期

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