Constraint on Fuzzy Controller with Relaxing LMIs Conservatism

This paper deals with stability analysis and control design for a class of nonlinear systems with input constraint when using T-S fuzzy model. After leading the control design to LMIs approach, the attention is paid to: (1) how to easy the LMIs conditions so that the system is asymptotically stable in a so-called ellipsoid to be made as large as possible; (2) how to relax the LMIs conditions so that the LMIs problem is more feasible. Also a few examples are given to illustrate the theoretical analysis.