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T-S模糊系统稳定性的一个新的充分条件 被引量：3

A New Sufficient Condition on the Stability of T-S Fuzzy Systems
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摘要 讨论了T-S模糊系统的二次稳定性问题．得到了两个等价的基于线性矩阵不等式(Linear matrix inequality,LMI)和Sum-of- squares(SOS)的充分条件．无论是在理论上,还是在数值示例方面,都表明文中结论放宽了已有的相关方面的结论,降低了此类问题判别条件的保守性． This paper considers the stability of T-S fuzzy systems. Two equvilent sufficient conditions, represented in terms of linear matrix inequaiity（LMI） and Sum-of-squares （SOS）, are obtained. The theorems presented in this paper have less conservatism than the existing ones, as have been verified by both theoretic analysis and numerical example.
作者 张大庆 张庆灵 胡跃冰
机构地区 东北大学系统科学研究所
出处 《自动化学报》 EI CSCD 北大核心 2007年第2期222-224,共3页 Acta Automatica Sinica
基金 国家自然科学基金(60574011)资助~~
关键词 T-S模糊系统 二次稳定 状态反馈 线性矩阵不等式 T-S fuzzy systems, quadratic stability, state feedback, linear matrix inequality（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9

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  • 5Liu X D, Zhang Q L. New approaches to H∞ controller designs based on fuzzy observers for T-S fuzzy systems via LMI. Automatica, 2003, 39(9): 1571-1582
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同被引文献35

  • 1修智宏,王伟.T-S模糊系统输出反馈控制器的稳定性分析与设计[J].控制理论与应用,2006,23(4):508-514. 被引量：7
  • 2张艳,张庆灵,杨冬梅.基于LMI方法的T-S模糊系统的动态输出反馈耗散控制器设计[J].控制与决策,2007,22(7):760-764. 被引量：2
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  • 7Liu X D, Zhang Q L. New approaches to H∞ controller designs based on fuzzy observers for T-S fuzzy systems via LMI[J]. Automatica, 2003,39(9):1571.
  • 8Johansson M, Rantzer A, Arzen K E. Piecewise quadratic stability of fuzzy systems [ J ]. IEEE Transcations on Fuzzy Systems, 1999,7(6) : 713.
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引证文献3

自动化学报
2007年 第2期

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