Wu Sheng-Ming, Sun Chein-Chung, Chang Wen-Jer, Chung Hung-Yuan
Department of Electrical Engineering, National Central University, Chung-li 320, Taiwan, ROC.
ISA Trans. 2007 Feb;46(1):85-93. doi: 10.1016/j.isatra.2006.02.001. Epub 2007 Jan 25.
Takagi-Sugeno fuzzy control problems with minimizing H2/Hinfinity norm are investigated in this paper. A redesigned T-S fuzzy model and controller are called a T-S Region-based Fuzzy Model (TSRFM) and a T-S Region-based Fuzzy Controller (TSRFC), respectively, which are derived from the fuzzy region concept and the robust control technique. The fuzzy region concept is used to divide the general plant rules into several fuzzy regions and the robust control technique is used to stabilize all plant rules of each fuzzy region. In this case, the stability conditions with H2/Hinfinity performance are derived from Lyapunov criterion, which are expressed in terms of LMIs. For the fuzzy model involving large plant rules, the proposed idea greatly reduces the total number of LMIs and controller rules so that TSRFC is easy to implement with simple hardware. Although the controller rules are reduced, TSRFC is able to provide performance as good as former designs.
本文研究了具有最小化H2/H无穷范数的高木-菅野模糊控制问题。一种重新设计的T-S模糊模型和控制器分别称为基于T-S区域的模糊模型（TSRFM）和基于T-S区域的模糊控制器（TSRFC），它们源自模糊区域概念和鲁棒控制技术。模糊区域概念用于将一般的对象规则划分为几个模糊区域，鲁棒控制技术用于稳定每个模糊区域的所有对象规则。在这种情况下，具有H2/H无穷性能的稳定性条件由李雅普诺夫准则导出，这些条件用线性矩阵不等式（LMI）表示。对于涉及大量对象规则的模糊模型，所提出的思想大大减少了LMI和控制器规则的总数，从而使TSRFC易于用简单硬件实现。虽然控制器规则减少了，但TSRFC能够提供与以前设计一样好的性能。
