$H_{\infty}$ control for T-S fuzzy systems with aperiodic sampling

This study focuses on $H_{\infty}$ control for T-S fuzzy systems with variable sampling. By utilizing the information of the state, an improved Lyapunov-Krasovskii functional (LKF) is constructed, together with free-weighted approach and aperiodic sampling techniques, further results are presented to ensure the T-S fuzzy systems to be asymptotically stable. Moreover, the $H_{\infty}$ controller is devised with a larger sampling interval. Finally, the merits of the proposed results are affirmed by a truck-trailer system.

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