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Volume 7 Issue 5
Sep.  2020

IEEE/CAA Journal of Automatica Sinica

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Article Navigation >  IEEE/CAA Journal of Automatica Sinica  > 2020  >  7(5): 1394-1402
Yiming Cheng, Xu Zhang, Tianhe Liu and Changhong Wang, "Finite-time Control of Discrete-time Systems With Variable Quantization Density in Networked Channels," IEEE/CAA J. Autom. Sinica, vol. 7, no. 5, pp. 1394-1402, Sept. 2020. doi: 10.1109/JAS.2020.1003087
Citation: Yiming Cheng, Xu Zhang, Tianhe Liu and Changhong Wang, "Finite-time Control of Discrete-time Systems With Variable Quantization Density in Networked Channels," IEEE/CAA J. Autom. Sinica, vol. 7, no. 5, pp. 1394-1402, Sept. 2020. doi: 10.1109/JAS.2020.1003087
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Finite-time Control of Discrete-time Systems With Variable Quantization Density in Networked Channels

doi: 10.1109/JAS.2020.1003087
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    Abstract
  • This paper is concerned with the problem of finite-time control for a class of discrete-time networked systems. The measurement output and control input signals are quantized before being transmitted in communication network. The quantization density of the network is assumed to be variable depending on the throughputs of network for the sake of congestion avoidance. The variation of the quantization density modes satisfies persistent dwell-time (PDT) switching which is more general than dwell-time switching in networked channels. By using a quantization-error-dependent Lyapunov function approach, sufficient conditions are given to ensure that the quantized systems are finite-time stable and finite-time bounded with a prescribed ${\cal H}_{\infty }$ performance, upon which a set of controllers depending on the mode of quantization density are designed. In order to show the effectiveness of the designed ${\cal H}_{\infty }$ controller, we apply the developed theoretical results to a numerical example.

     

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    Highlights

    • the interested quantization density of networked system is modeled as a class of switched systems with persistent dwell time switching signals.
    • a class of Lyapunov-like functions that are both mode-dependent and quantization density-dependent is developed.
    • the switched system with PDT switching is finite-time bounded and has a prescribed H∞ performance.

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