Abstract
In this paper, we investigate the sampled-data control problem for polynomial sampled-data fuzzy system with time-varying delay. Based on sampled-data technique, a fuzzy controller is designed to guarantee the stability of closed-loop polynomial fuzzy system. By examining the stabilization problem, the Lyapunov-Krasovskii functional (LKF) is adopted and a delay-dependent stabilization condition is proposed in terms of sum-of-squares (SOS). Lastly, a polynomial fuzzy system with time-varying delay is given to show the validity and the feasibility of the proposed results.
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