Improved sampled-data control design of T-S fuzzy systems against mismatched fuzzy-basis functions

Khanh Hieu Nguyen and Sung Hyun Kim

Applied Mathematics and Computation, 2022, vol. 428, issue C

Abstract: This paper aims to design an improved sampled-data control for T-S fuzzy systems under mismatch of the actual fuzzy-basis function and the sampled fuzzy-basis function. To this end, an enhanced two-sided looped-functional method is proposed so that the chosen Lyapunov-Krasovskii functional can contain two new time-integrated states. In addition, a less conservative relaxation process is devised in such a way that (1) the error bounds of the mismatched fuzzy-basis functions can be imposed on the stabilization conditions, and (2) the required computational complexity can be reduced when relaxing the mismatched fuzzy-basis functions. Finally, through two illustrative examples, the effectiveness of the proposed method is verified by comparing our results with those of other existing methods.

Keywords: T-S fuzzy system; Sampled-data control; Looped-functional; Relaxation technique (search for similar items in EconPapers)
Date: 2022
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Citations: View citations in EconPapers (3)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:428:y:2022:i:c:s0096300322002235

DOI: 10.1016/j.amc.2022.127150

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