Design and experimentation of sampled-data controller in T-S fuzzy systems with input saturation through the use of linear switching methods

YeongJae Kim; YongGwon Lee; SeungHoon Lee; Palanisamy Selvaraj; Ramalingam Sakthivel; OhMin Kwon; YeongJae Kim; YongGwon Lee; SeungHoon Lee; Palanisamy Selvaraj; Ramalingam Sakthivel; OhMin Kwon

doi:10.3934/math.2024118

AIMS Mathematics

2024, Volume 9, Issue 1: 2389-2410. doi: 10.3934/math.2024118

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Design and experimentation of sampled-data controller in T-S fuzzy systems with input saturation through the use of linear switching methods

School of Electrical Engineering, Chungbuk National University, Cheongju 28644, Republic of Korea

Received: 30 October 2023 Revised: 22 November 2023 Accepted: 26 November 2023 Published: 25 December 2023
MSC : 34A07, 34D20, 93D20

In this study, the stability and stabilization analyses are discussed for Takagi-Sugeno (T-S) fuzzy systems with input saturation. A fuzzy-based sampled-data control is designed to stabilize the T-S fuzzy systems. Based on the Lyapunov method and some integral inequality techniques, a set of sufficient conditions is obtained as linear matrix inequality (LMI) constraints to guarantee the asymptotic stability of the considered system. In this process, the linear switching method is utilized to design a controller that is dependent on the membership function, and an integral inequality is utilized. Additionally, determination of the controller parameters is achieved by resolving a series of LMI constraints. The effectiveness of these criteria is demonstrated through a real system that is modeled by the T-S system.
- input saturation,
- linear matrix inequality,
- Lyapunov stability,
- sampled-data control,
- T-S fuzzy system
Citation: YeongJae Kim, YongGwon Lee, SeungHoon Lee, Palanisamy Selvaraj, Ramalingam Sakthivel, OhMin Kwon. Design and experimentation of sampled-data controller in T-S fuzzy systems with input saturation through the use of linear switching methods[J]. AIMS Mathematics, 2024, 9(1): 2389-2410. doi: 10.3934/math.2024118

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Abstract

In this study, the stability and stabilization analyses are discussed for Takagi-Sugeno (T-S) fuzzy systems with input saturation. A fuzzy-based sampled-data control is designed to stabilize the T-S fuzzy systems. Based on the Lyapunov method and some integral inequality techniques, a set of sufficient conditions is obtained as linear matrix inequality (LMI) constraints to guarantee the asymptotic stability of the considered system. In this process, the linear switching method is utilized to design a controller that is dependent on the membership function, and an integral inequality is utilized. Additionally, determination of the controller parameters is achieved by resolving a series of LMI constraints. The effectiveness of these criteria is demonstrated through a real system that is modeled by the T-S system.

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