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A new approach to generalized dissipativity analysis for fuzzy systems with coupling memory sampled-data control. (English) Zbl 1433.93078

Summary: This study addresses a new approach to generalized dissipativity analysis for fuzzy systems with coupling memory sampled-data (CMSD) control. Based on the information of the time derivative of membership functions (MFs), an improved time-dependent Lyapunov-Krasovskii functional (LKF) is proposed to commendably capture the available information related to the real sampling pattern. Together with a switching idea and newly inequalities, further results are established to ensure that the considered system is generalized dissipative. In addition, the CMSD controller is designed such that the generalized dissipative can be guaranteed. Finally, the effectiveness of the presented criteria is verified by the truck-trailer system and Rössler’s system.

MSC:

93C57 Sampled-data control/observation systems
93D10 Popov-type stability of feedback systems
93C42 Fuzzy control/observation systems
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