Abstract: Abstract：In the process of control，utilization of state feedback controller with memory can make the system have better performance and less conservativeness. Adopted T-S fuzzy system with state uncertainty to describe the nonlinear control system，through the design of fuzzy feedback controller with memory，applied Laypunov stability theory and linear matrix inequality (LMI) technique，to realize the stability of closed-loop system，at the same time，found an upper-bound of the cost-guaranteed function.

Key words: T-S fuzzy system, linear matrix inequality（LMI）, cost-guaranteed control