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Admissibility Analysis of a Sampled‐Data Singular System Based on the Input Delay Approach

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Listed:
  • Guoquan Chen
  • Minjie Zheng
  • Shenhua Yang
  • Lina Li

Abstract

This study investigates the sampled‐data admissibility problem for a singular system. The objective of this paper is to design a sampled‐data controller to ensure the admissibility of a singular system and to construct an appropriate Lyapunov–Krasovskii functional (LKF) to get less conservative results for the sampled‐data singular system. To accomplish these objectives, the system is converted into a time‐delay system by the input delay approach firstly, and both lower and upper bounds of the delay are considered. Secondly, by introducing a suitable LKF, the admissibility criteria are obtained. Then, when estimating the derivative of the LKF, a relaxation variable is introduced by the method of reciprocally convex inequality, and it is proved that the conservatism is reduced. Finally, two numerical examples are given to prove that the designed sampled‐data controller can ensure the states of the systems under the influence of external interference.

Suggested Citation

  • Guoquan Chen & Minjie Zheng & Shenhua Yang & Lina Li, 2022. "Admissibility Analysis of a Sampled‐Data Singular System Based on the Input Delay Approach," Complexity, John Wiley & Sons, vol. 2022(1).
    • Handle: RePEc:wly:complx:v:2022:y:2022:i:1:n:3151620
    DOI: 10.1155/2022/3151620
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    References listed on IDEAS

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    1. Fuzhou Niu & Ziyang Li & Lijian Yang & Zhengtian Wu & Qixin Zhu & Baoping Jiang, 2020. "Fuzzy Sliding Mode Control of a VAV Air-Conditioning Terminal Temperature System," Complexity, Hindawi, vol. 2020, pages 1-10, December.
    2. Song Zheng, 2014. "Projective Synchronization Analysis of Drive‐Response Coupled Dynamical Network with Multiple Time‐Varying Delays via Impulsive Control," Abstract and Applied Analysis, John Wiley & Sons, vol. 2014(1).
    3. Xin-zhuang Dong, 2014. "Admissibility analysis of linear singular systems via a delta operator method," International Journal of Systems Science, Taylor & Francis Journals, vol. 45(11), pages 2366-2375, November.
    4. Song Zheng, 2014. "Projective Synchronization Analysis of Drive-Response Coupled Dynamical Network with Multiple Time-Varying Delays via Impulsive Control," Abstract and Applied Analysis, Hindawi, vol. 2014, pages 1-10, May.
    5. Huaiqin Wu & Luying Zhang & Sanbo Ding & Xueqing Guo & Lingling Wang, 2013. "Complete Periodic Synchronization of Memristor-Based Neural Networks with Time-Varying Delays," Discrete Dynamics in Nature and Society, Hindawi, vol. 2013, pages 1-12, July.
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