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

作　　者：Songtao ZHANG Shizhen BAI 

机构地区：[1]School of Management, Harbin University of Commerce, Harbin Heilongjiang 150076, China

出　　处：《控制理论与应用（英文版）》2009年第2期139-143,共5页

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)

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.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.

关 键 词：Controller design Uncertain nonlinear systems T-S fuzzy model 

分 类 号：TP273[自动化与计算机技术—检测技术与自动化装置] TP273.4[自动化与计算机技术—控制科学与工程]