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Stability Analysis of Time-Delay Switched System Based on Improved Lyapunov–Krasovskii Functionals

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Abstract

This paper studies the stability criterion and controller design for time-delay switched systems with input saturation. The main contributions of this paper are as follows: (1) Based on constructing the Lyapunov–Krasovskii functional (LKF) with the triple integral term and making full use of the delay lower bound information, the sufficient conditions for the exponential stability of the system are given. (2) A state feedback controller is designed for the input-saturated system. (3) The symmetric delay rate problem is considered to accurately define the derivative of LKF, which reduces the conservatism of the system. By reducing conservatism, that is, the time-delay upper bound is raised, allowing for a wider range of time-delay signals. Finally, the effectiveness of the proposed method is verified by the numerical examples.

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Funding

This work is supported by the Zhejiang Provincial Natural Science Foundation of China [Grant Numbers: LY22F030002 and LY22E050003].

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Authors and Affiliations

  1. School of Automation, Hangzhou Dianzi University, No.1158, No.2 Street, Hangzhou Economic Development Zone, Hangzhou, 310018, China

    Qian Wang & Fujie Tian

  2. College of Mechanical Engineering, Zhejiang University of Technology, No. 288 Liuhe Road, Hangzhou, 310023, China

    Guoda Chen

Authors
  1. Qian Wang
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  2. Fujie Tian
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  3. Guoda Chen
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Correspondence to Guoda Chen.

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Wang, Q., Tian, F. & Chen, G. Stability Analysis of Time-Delay Switched System Based on Improved Lyapunov–Krasovskii Functionals. Circuits Syst Signal Process 43, 1473–1491 (2024). https://doi.org/10.1007/s00034-023-02557-2

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  • DOI: https://doi.org/10.1007/s00034-023-02557-2

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