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Title: A study on decentralized $H_\infty$ feedback control systems with local quantizers (English)
Author: Zhai, Guisheng
Author: Chen, Ning
Author: Gui, Weihua
Language: English
Journal: Kybernetika
ISSN: 0023-5954
Volume: 45
Issue: 1
Year: 2009
Pages: 137-150
Summary lang: English
Category: math
Summary: In this paper, we study decentralized $H_{\infty}$ feedback control systems with quantized signals in local input-output (control) channels. We first assume that a decentralized output feedback controller has been designed for a multi-channel continuous-time system so that the closed-loop system is Hurwitz stable and a desired $H_{\infty}$ disturbance attenuation level is achieved. However, since the local measurement outputs are quantized by a general quantizer before they are passed to the controller, the system's performance is not guaranteed. For this reason, we propose a local-output-dependent strategy for updating the quantizers' parameters, so that the closed-loop system is asymptotically stable and achieves the same $H_{\infty}$ disturbance attenuation level. We also extend the discussion and the result to the case of multi-channel discrete-time $H_{\infty}$ feedback control systems. (English)
Keyword: decentralized $H_{\infty}$ feedback control system
Keyword: quantizer
Keyword: quantization
Keyword: matrix inequality
Keyword: output feedback
MSC: 93A14
MSC: 93B36
MSC: 93C15
MSC: 93C55
MSC: 93C83
MSC: 93D15
MSC: 93D25
idZBL: Zbl 1158.93350
idMR: MR2489585
Date available: 2010-06-02T18:23:53Z
Last updated: 2012-06-06
Stable URL:
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Reference: [10] G. Zhai, Y. Mi, J. Imae, and T. Kobayashi: Design of ${{H}}_{\infty }$ feedback control systems with quantized signals.In: Preprints of the 16th IFAC World Congress, Paper code: Fr-M17-TO/1, Prague 2005.


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