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Asynchronous H∞ filtering for nonlinear persistent dwell-time switched singular systems with measurement quantization

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  • Xing, Mengping
  • Xia, Jianwei
  • Wang, Jing
  • Meng, Bo
  • Shen, Hao

Abstract

This paper deals with the asynchronous H∞ filtering problem for a class of discrete-time switched nonlinear singular systems with measurement quantization. The switching of the filter is supposed to have a lag to the switching of the system modes, and both of the switchings are governed by persistent dwell-time switching (PDTS) regularity. By resorting to T-S fuzzy method, the complex nonlinear system can be modeled precisely by a set of local linear models. In addition, considering the limited communication capacity of networks, the measurement output is quantized before being transmitted to the filter. The main attention of this paper is focused on constructing an asynchronous filter which can ensure that the investigated filtering error system is exponentially admissible with a prescribed H∞ performance. By virtue of some improved inequalities and reasonable matrix decoupling techniques, sufficient conditions based on linear matrix inequalities are presented. It should be noted that, superior to some existing results on PDTS systems, the Lyapunov functions are allowed to increase not only at switching instant, but also during part of subsystem’s operation time. Therefore, the conditions obtained in this paper may have less conservatism. Finally, an illustrative example is provided to verify the effectiveness of the proposed scheme.

Suggested Citation

  • Xing, Mengping & Xia, Jianwei & Wang, Jing & Meng, Bo & Shen, Hao, 2019. "Asynchronous H∞ filtering for nonlinear persistent dwell-time switched singular systems with measurement quantization," Applied Mathematics and Computation, Elsevier, vol. 362(C), pages 1-1.
    • Handle: RePEc:eee:apmaco:v:362:y:2019:i:c:30
    DOI: 10.1016/j.amc.2019.124578
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    References listed on IDEAS

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    6. Hu, Xiaohui & Xia, Jianwei & Wei, Yunliang & Meng, Bo & Shen, Hao, 2019. "Passivity-based state synchronization for semi-Markov jump coupled chaotic neural networks with randomly occurring time delays," Applied Mathematics and Computation, Elsevier, vol. 361(C), pages 32-41.
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    15. Sun, Yuchen & Ma, Shuping, 2021. "Output regulation of switched singular systems based on extended state observer approach," Applied Mathematics and Computation, Elsevier, vol. 399(C).
    16. Wu, Tianyu & Huang, Xia & Chen, Xiangyong & Wang, Jing, 2020. "Sampled-data H∞ exponential synchronization for delayed semi-Markov jump CDNs: A looped-functional approach," Applied Mathematics and Computation, Elsevier, vol. 377(C).
    17. Tan, Lihua & Li, Chuandong & Huang, Junjian & Huang, Tingwen, 2021. "Output feedback leader-following consensus for nonlinear stochastic multiagent systems: The event-triggered method," Applied Mathematics and Computation, Elsevier, vol. 395(C).
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    19. Wang, Xiaomin & Li, Feng & Hu, Xingliu & Wang, Jing, 2023. "Mixed H∞/passive synchronization for persistent dwell-time switched neural networks via an activation function dividing method," Applied Mathematics and Computation, Elsevier, vol. 442(C).
    20. Sun, Shaoxin & Wang, Yingchun & Zhang, Huaguang & Sun, Jiayue, 2020. "Multiple intermittent fault estimation and tolerant control for switched T-S fuzzy stochastic systems with multiple time-varying delays," Applied Mathematics and Computation, Elsevier, vol. 377(C).
    21. Tao, Ruifeng & Ma, Yuechao & Wang, Chunjiao, 2020. "Stochastic admissibility of singular Markov jump systems with time-delay via sliding mode approach," Applied Mathematics and Computation, Elsevier, vol. 380(C).
    22. He, Hangfeng & Qi, Wenhai & Kao, Yonggui, 2021. "HMM-based adaptive attack-resilient control for Markov jump system and application to an aircraft model," Applied Mathematics and Computation, Elsevier, vol. 392(C).
    23. Mathiyalagan, Kalidass & Sangeetha, G., 2020. "Second-order sliding mode control for nonlinear fractional-order systems," Applied Mathematics and Computation, Elsevier, vol. 383(C).
    24. Yang, Yawei & Lin, Chong & Chen, Bing & Zhao, Xin, 2020. "H∞ observer design for uncertain one-sided Lipschitz nonlinear systems with time-varying delay," Applied Mathematics and Computation, Elsevier, vol. 375(C).
    25. Gholami, Hadi & Shafiei, Mohammad Hossein, 2021. "Finite-time H∞ static and dynamic output feedback control for a class of switched nonlinear time-delay systems," Applied Mathematics and Computation, Elsevier, vol. 389(C).

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