Finite-time Control of Discrete-time Systems With Variable Quantization Density in Networked Channels |
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| 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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| Authors: | Yiming Cheng Xu Zhang Tianhe Liu Changhong Wang |
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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 begin{document}${cal H}_{infty }$end{document}![]() ![]() 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 begin{document}${cal H}_{infty }$end{document}![]() ![]() controller, we apply the developed theoretical results to a numerical example. |
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| Keywords: | Finite-time ${cal H}_{infty }$ controller design quantization-error-dependent Lyapunov function quantized signal |
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