Stabilization of T-S Fuzzy System With Time Delay Under Sampled-Data Control Using a New Looped-Functional

This paper investigates the sampled-data stabilization problem for a Takagi–Sugeno (T-S) fuzzy system with time delay. By taking the information of states within the intervals from <inline-formula><tex-math notation="LaTeX">$t_{k}$</tex-math></inline-formula> to <inline-formula><tex-math notation="LaTeX">$t$</tex-math></inline-formula> and <inline-formula><tex-math notation="LaTeX">$t$</tex-math></inline-formula> to <inline-formula><tex-math notation="LaTeX">$t_{k+1}$</tex-math></inline-formula> into account, a new two-side delay-dependent looped-functional is introduced which can not only relax the monotonic constraint of Lyapunov–Krasovskii functional (LKF), but also make better use of the actual sampling pattern. Furthermore the sampled-data fuzzy controller is designed to contain both the present and delayed state information, thereby enhancing the control performance and design flexibility. Based on the novel augmented LKF and improved bounding technique, less conservative stability criteria are derived in the form of linear matrix inequalities. The superiority of proposed results is shown by two simulation examples.