New results on T–S fuzzy sampled-data stabilization for switched chaotic systems with its applications. (November 2022)

• Record Type: Journal Article
• Authors: Vadivel, R.; Sabarathinam, S.; Wu, Yongbao; Chaisena, Kantapon; Gunasekaran, Nallappan
• Is Part Of: Chaos, solitons and fractals. Volume 164(2022)
• Publication Date: 2022-11
• Subjects: Average dwell time -- Chaotic model -- Lyapunov functional -- Fuzzy sampled-data controller; Chaotic behavior in systems -- Periodicals; Solitons -- Periodicals; Fractals -- Periodicals; Chaotic behavior in systems; Fractals; Solitons; Periodicals; 003.7
• DOI: 10.1016/j.chaos.2022.112741
• Languages: English
• ISSNs: 0960-0779

Abstract

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.