Controller design of uncertain nonlinear systems based on T-S fuzzy model
Songtao ZHANG
Shizhen BAI
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.
机标关键词：fuzzy modelbaseduncertain nonlinear systemsdesignpositive definite matrixfuzzy systemsufficient conditionstability condition
资助基金：the National Natural Science Foundation of China(70471087)China Postdoctoral Science Foundation Funded Project(20080430929)Liaoning Province Education Bureau Foundation(20060106)
论文发表日期：2009-01-01
在线出版日期：2025-08-15（本平台首次上网日期，不代表文献的发表时间）
页数：5( 139-143 )
英文信息