On Optimal H2/H∞ non-fragile guaranteed cost control for T-S fuzzy system

Non-fragile guaranteed cost control for a class of T-S fuzzy system is studied. The concept of T-S fuzzy system is explained and the condition of robust stabilization is in the form of matrix inequality which can be converted to the LMIs. Then, non-fragile guaranteed cost control is applied to T-S fuzzy system. A sufficient condition for the existence of such non-fragile guaranteed cost controllers is derived via the linear matrix inequality approach, H₂ control performance of the closed-loop system is minimized with the desired H_infin disturbance rejection constraint and the closed-loop performance is no more than a certain upper bound. At last, an illustrative example is given to demonstrate the feasibility and validity of the theoretical results.