Stabilization of Discrete-time 2-D T-S Fuzzy Systems Based on New Relaxed Conditions

作     者：XIE Xiang-Peng ZHANG Hua-Guang 

作者机构：Key Laboratory of Integrated Automation for the Process Industry Ministry of Education Shenyang 110004 P.R. China School of Information Science and Engineering Northeastern University Shenyang 110004 P.R. China 

出 版 物：《自动化学报》 (Acta Automatica Sinica)

年 卷 期：2010年第36卷第2期

页      面：267-273页

核心收录：

学科分类：0711[理学-系统科学] 07[理学] 08[工学] 070105[理学-运筹学与控制论] 0835[工学-软件工程] 0802[工学-机械工程] 081101[工学-控制理论与控制工程] 071101[理学-系统理论] 0811[工学-控制科学与工程] 0701[理学-数学] 080201[工学-机械制造及其自动化] 

基　　金：Supported by National Natural Science Foundation of China (50977008  60904017  60774048  60728307)  the Funds for Creative Research Groups of China (60521003)  the Program for Cheung Kong Scholars and Innovative Research Team in University (IRT0421)  and the 111 Project (B08015)  National High Technology Research and Development Program of China (863 Program) (2006AA04Z183) 

主　　题：Roesser model 2-D discrete systems Takagi-Sugeno (T-S) fuzzy model relaxed stabilization conditions 

摘      要：This paper is concerned with the problem of stabilization of the Roesser type discrete-time nonlinear 2-D system that plays an important role in many practical applications. First, a discrete-time 2-D T-S fuzzy model is proposed to represent the underlying nonlinear 2-D system. Second, new quadratic stabilization conditions are proposed by applying relaxed quadratic stabilization technique for 2-D case. Third, for sake of further reducing conservatism, new non-quadratic stabilization conditions are also proposed by applying a new parameter-dependent Lyapunov function, matrix transformation technique, and relaxed technique for the underlying discrete-time 2-D T-S fuzzy system. Finally, a numerical example is provided to illustrate the effectiveness of the proposed results.