Controller design of uncertain nonlinear systems based on 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.