The piecewise Lyapunov functions based the delay-independent H ∞ controller design for a class of time-delay T-S fuzzy system
This paper presents the piecewise Lyapunov functions based the delay- independent H<sub>infin</sub> controller design for a class of time-delay T-S fuzzy system. First, we apply a piecewise observer to estimate the states. Then, a piecewise delay-independent H<sub>infin</sub> controller is designed to guarantee the H<sub>infin</sub> performance. Subsequently, the problem of control design is characterized in terms of two LMIs, one for the control gain and the other for observer gain, and the LMIs can be effectively solved by convex optimization technique. Simulation results demonstrate the applicability and the effectiveness of the proposed controller.