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New results on T–S fuzzy sampled-data stabilization for switched chaotic systems with its applications

R. Vadivel, S. Sabarathinam, Yongbao Wu, Kantapon Chaisena and Nallappan Gunasekaran

Chaos, Solitons & Fractals, 2022, vol. 164, issue C

Abstract: This study presents a T–S fuzzy-based sampled-data controller for switched chaotic systems. First, we designed the switched-based sampled-data fuzzy controller. Second, a novel time-dependent Lyapunov–Krasovskii functional (LKF) approach with the information of switching signals is proposed, which covers all information of the sampling interval and the time-delay information in the controller, improving the integral inequality, some sufficient conditions are established, which makes the proposed closed-loop system be exponentially stable. Subsequently, the derived conditions are formulated with respect to linear matrix inequalities (LMIs). Meanwhile, the corresponding sampled-data controller gains are designed under the larger sampling interval. Finally, the suggested T–S fuzzy sampled-data controller (TSFSD) is used to demonstrate the usefulness of the approaches in the Lorenz system, Chen system, and Lu system.

Keywords: Average dwell time; Chaotic model; Lyapunov functional; Fuzzy sampled-data controller (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:chsofr:v:164:y:2022:i:c:s0960077922009201

DOI: 10.1016/j.chaos.2022.112741

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