Improved stability criteria of T-S fuzzy systems with sampled-data-based dissipative control

Chao Ge, Zengshuai Liu, Lei Wang and Yajuan Liu

Applied Mathematics and Computation, 2022, vol. 424, issue C

Abstract: Based on sampled-data control, this work studies dissipative control for Takagi-Sugeno (T-S) fuzzy system. The T-S fuzzy model combined with the fuzzy membership functions (FMFS) are considered which derive the less conservative result. To take advantage of the sampling interval for more realistic information, a novel Lyapunov-Krasovskii functional (LKF) containing integral variables and the fuzzy membership functions is constructed. As a result, combined the appropriate mode-dependent Lyapunov function with the method of free-weighting matrix, sufficient condition is developed to ensure that the system is (Q,S,R)−γ− dissipative. Moreover, a required sampled-data controller is also designed. Finally, two numerical simulation examples are carried out, which verify the feasibility and validity of the proposed theoretical results.

Keywords: Fuzzy system; Fuzzy membership function; Sampled-data control; Dissipative analysis (search for similar items in EconPapers)
Date: 2022
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Citations: View citations in EconPapers (2)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:424:y:2022:i:c:s0096300322001333

DOI: 10.1016/j.amc.2022.127047

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