Interval approximation method for stability analysis of time-delay systems |
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| Affiliation: | 1. Institute of Electrical Engineering, Yanshan University, Qinhuangdao 066004, China;2. Department of Electrical Engineering, Yeungnam University, Gyongsan 38541, South Korea;1. Department of Electrical and Information Engineering, Hunan University of Technology, Zhuzhou 412007, China;2. Key Laboratory for Electric Drive Control and Intelligent Equipment of Hunan Province, Zhuzhou 412007, China;1. Graduate Program in Electrical Engineering, Federal University of Minas Gerais, Av. Antônio Carlos 6627, Belo Horizonte, MG 31270-010, Brazil;2. Department of Electronics Engineering, Federal University of Minas Gerais, Av. Antônio Carlos 6627, Belo Horizonte, MG 31270-010, Brazil;1. Division of Electronic Engineering, Jeonbuk National University, 567 Baekje-daero, Jeonju 54896, Republic of Korea;2. Center for Global Conversing Humanities, Kyung Hee University, 1732 Deogyeong-daero, Yongin 17104, Republic of Korea;3. Department of Electrical Engineering, Yeungnam University, Gyongsan 38541, Republic of Korea |
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| Abstract: | This paper studies the stability analysis of linear systems with time-varying delay, which is supposed to be the trigonometric form. By utilizing the characteristics between time-varying delay and its derivative, a novel interval approximation method is proposed, which provides the new allowable delay sets. Then making use of Wirtinger inequality, reciprocally convex inequality and the looped Lyapunov–Krasovskii functionals, the stability criteria with less conservatism are obtained. Finally, two examples are used to show the effectiveness and efficiency of the stability criteria. |
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