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

作　　者：CHEN Jian YU Jinpeng 

机构地区：[1]School of Information and Control Engineering,Qingdao University of Technology,Qingdao 266520,China [2]School of Automation,Qingdao University,Qingdao 266071,China

出　　处：《Journal of Systems Science & Complexity》2021年第4期1345-1363,共19页系统科学与复杂性学报（英文版）

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。

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 uncertainties.By introducing a new approximation technique,the initial membership functions are conveniently expressed in piecewiselinear functions with the consideration of the approximation errors.By 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 points.The conditions can be reduced into the normal parallel distributed compensation ones by choosing special values of some slack matrices.Furthermore,the authors design the robust state feedback controller to guarantee the closed-loop system to be admissible.Two examples are provided to illustrate the advantage and effectiveness of the proposed method.

关 键 词：ADMISSIBLE discrete-time singular systems piecewise-linear membership functions state feedback T-S fuzzy models 

分 类 号：TP13[自动化与计算机技术—控制理论与控制工程]