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

R Vadivel, S Sabarathinam, Y Wu, K Chaisena… - Chaos, Solitons & …, 2022 - Elsevier
R Vadivel, S Sabarathinam, Y Wu, K Chaisena, N Gunasekaran
Chaos, Solitons & Fractals, 2022Elsevier
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 …
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.
Elsevier
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