Delay-dependent robust H∞ control for uncertain discrete time-delay fuzzy systems

The robust H
∞
control problem of norm bounded uncertain discrete Takagi-Sugeno (T-S) fuzzy systems with state delay is addressed. First, by constructing an appropriate basis-dependent Lyapunov-Krasovskii function, a new delay-dependent sufficient condition on robust H
∞
-disturbance attenuation is presented, in which both robust stability and prescribed H
∞
performance are guaranteed to be achieved. Then based on the condition, a delay-dependent robust H
∞
controller design scheme is developed in term of a convex algorithm. Finally, examples are given to illustrate the effectiveness of the proposed method.