Controller design of uncertain nonlinear systems based on T-S fuzzy model

作     者：Songtao ZHANG Shizhen BAI 

作者机构：School of Management Harbin University of Commerce Harbin Heilongjiang 150076 China 

出 版 物：《控制理论与应用（英文版）》 (JOURNAL OF CONTROL THEORY AND APPLICATIONS)

年 卷 期：2009年第7卷第2期

页      面：139-143页

核心收录：

学科分类：0808[工学-电气工程] 08[工学] 0802[工学-机械工程] 0835[工学-软件工程] 0811[工学-控制科学与工程] 0812[工学-计算机科学与技术（可授工学、理学学位）] 080201[工学-机械制造及其自动化] 

基　　金：supported by the National Natural Science Foundation of China (No.70471087) China Postdoctoral Science Foundation Funded Project(No.20080430929) Liaoning Province Education Bureau Foundation (No.20060106) 

主　　题：Controller design Uncertain nonlinear systems T-S fuzzy model 

摘      要：A robust control for uncertain nonlinear systems based on T-S fuzzy model is discussed in this paper. First, a T-S fuzzy system is adopted to model the uncertain nonlinear systems. Then, for the system with input variables adopting standard fuzzy partitions, the efficient maximal overlapped-rules group （EMORG） is presented, and a new sufficient condition to check the stability of T-S fuzzy system with uncertainty is derived, which is expressed in terms of Linear Matrix Inequalities. The derived stability condition, which only requires a local common positive definite matrix in each EMORG, can reduce the conservatism and difficulty in existing stability conditions. Finally, a simulation example shows the proposed approach is effective.