引用本文:李 柠,李少远,席裕庚.比例型T-S模糊控制系统稳定性分析与设计[J].控制理论与应用,2003,20(4):503~508.[点击复制]
LI Ning,LI Shao-yuan,XI Yu-geng.Stability analysis and design of T-S fuzzy control system with simplified linear rule consequent[J].Control Theory and Technology,2003,20(4):503~508.[点击复制]
比例型T-S模糊控制系统稳定性分析与设计
Stability analysis and design of T-S fuzzy control system with simplified linear rule consequent
摘要点击 1167  全文点击 960  投稿时间:2001-07-11  修订日期:2002-11-04
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DOI编号  10.7641/j.issn.1000-8152.2003.4.004
  2003,20(4):503-508
中文关键词  比例型T-S模糊系统  稳定性  不确定性
英文关键词  T-S fuzzy system with simplified linear rule consequent  stability  uncertainty
基金项目  国家自然科学基金(19934020, 60074004).
作者单位
李 柠 上海交通大学 自动化研究所, 上海 200030 
李少远 上海交通大学 自动化研究所, 上海 200030 
席裕庚 上海交通大学 自动化研究所, 上海 200030 
中文摘要
      讨论了比例型T-S模糊控制系统(TSS)的稳定性与设计问题. 利用具有乘积可换性状态矩阵的T-S系统的公共P阵构造方法及鲁棒稳定域条件, 给出了TSS系统的满足全局Lyapunov稳定的正定矩阵P的递推求解方法, 并提出一种TSS模糊控制系统设计和稳定性分析的规范化方法.
英文摘要
      The stability and design of the T-S fuzzy control system with simplified linear rule consequent (TSS) were investigated. Based on the searching approach to the common matrix P and the maximum uncertainty bound related to general T-S fuzzy system with pairwise commutative state matrix Ai, an iterative algorithm for a common positive definite matrix P for TSS was proposed. The norms for the stability analysis and the controller design for TSS were also presented.