Control synthesis for the large-Scale system based on a linear decomposition of nonlinear interconnections

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Please use this identifier to cite or link to this item: https://ir.lib.ncu.edu.tw/handle/987654321/106815

Title:	Control synthesis for the large-Scale system based on a linear decomposition of nonlinear interconnections
Authors:	王文俊;Chang, Wei;Wang, Wen-June;Li, Nai-Jen;Chou, Hao-Gong;Chang, Jun-Wei
Contributors:	資訊電機學院電機工程學系
Keywords:	decomposition;EI;fuzzy systems;H∞ control;Large-scale systems;linear matrix inequality (LMI);SCI;SCIE;Scopus
Date:	2014-01-01
Issue Date:	2026-04-23 13:44:43 (UTC+8)
Publisher:	Springer International Publishing AG;台灣: 中華民國模糊學會
Abstract:	摘要： This paper studies the H∞ control problem for a nonlinear large-scale system with unknown disturbance. In the large-scale system, each subsystem “without” nonlinear interconnections and disturbance is transformed into a T-S fuzzy system. Moreover, based on a linear decomposition, the nonlinear interconnection corresponding to each subsystem is decomposed to a linear weighting interconnection which contains a fixed linear term and an uncertain linear term. Based on the above transformation, the total fuzzy rules’ number of the transformed large-scale system is reduced evidently so that the rule explosion problem will be avoided. In this study, some conditions are proposed to guarantee the existence of Parallel Distributed Compensation (PDC) fuzzy controllers and then the controllers using Linear Matrix Inequality (LMI) tool are synthesized such that the H∞ control performance of the nonlinear large-scale system is achieved. Finally, a numerical example and a balancing double-inverted pendulums example are given to demonstrate the effectiveness of the controller. 出版者：台灣: 中華民國模糊學會出版日期： 2014-03-01 出處： International Journal of Fuzzy Systems, 2014-03, Vol.16 (1), p.97-110 資源來源： Airiti Library 華藝線上圖書館識別號： ISSN: 1562-2479
Appears in Collections:	[Department of Electrical Engineering] journal & Dissertation

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