Robust Control for Discrete-Time T-S Fuzzy Singular Systems

作     者：CHEN Jian YU Jinpeng CHEN Jian;YU Jinpeng

作者机构：School of Information and Control EngineeringQingdao University of TechnologyQingdao 266520China School of AutomationQingdao UniversityQingdao 266071China 

出 版 物：《Journal of Systems Science & Complexity》 (系统科学与复杂性学报（英文版）)

年 卷 期：2021年第34卷第4期

页      面：1345-1363页

核心收录：

学科分类：0711[理学-系统科学] 07[理学] 08[工学] 081101[工学-控制理论与控制工程] 0811[工学-控制科学与工程] 071102[理学-系统分析与集成] 081103[工学-系统工程] 

基　　金：supported in part by the National Natural Science Foundation of China under Grant Nos.61973179 and 61803220 in part by the Taishan scholar Special Project Fund under Grant No.TSQN20161026 

主　　题：Admissible discrete-time singular systems piecewise-linear membership functions state feedback T-S fuzzy models 

摘      要：This paper deals with the robust admissibility and state feedback stabilization problems for discrete-time T-S fuzzy singular systems with norm-bounded *** introducing a new approximation technique,the initial membership functions are conveniently expressed in piecewiselinear functions with the consideration of the approximation *** utilizing the piecewise-linear membership functions,the fuzzy weighting-based Lyapunov function and the use of auxiliary matrices,the admissibility of the systems is determined by examining the conditions at some sample *** conditions can be reduced into the normal parallel distributed compensation ones by choosing special values of some slack ***,the authors design the robust state feedback controller to guarantee the closed-loop system to be *** examples are provided to illustrate the advantage and effectiveness of the proposed method.