Decentralized design of interconnected H ∞ feedback control systems with quantized signals

Guisheng Zhai; Ning Chen; Weihua Gui

International Journal of Applied Mathematics and Computer Science (2013)

  • Volume: 23, Issue: 2, page 317-325
  • ISSN: 1641-876X

Abstract

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In this paper, we consider the design of interconnected H ∞ feedback control systems with quantized signals. We assume that a decentralized dynamic output feedback has been designed for an interconnected continuous-time LTI system so that the closed-loop system is stable and a desired H ∞ disturbance attenuation level is achieved, and that the subsystem measurement outputs are quantized before they are passed to the local controllers. We propose a local-output-dependent strategy for updating the parameters of the quantizers, so that the overall closed-loop system is asymptotically stable and achieves the same H ∞ disturbance attenuation level. Both the pre-designed controllers and the parameters of the quantizers are constructed in a decentralized manner, depending on local measurement outputs.

How to cite

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Guisheng Zhai, Ning Chen, and Weihua Gui. "Decentralized design of interconnected $H_∞$ feedback control systems with quantized signals." International Journal of Applied Mathematics and Computer Science 23.2 (2013): 317-325. <http://eudml.org/doc/257112>.

@article{GuishengZhai2013,
abstract = {In this paper, we consider the design of interconnected $H_∞$ feedback control systems with quantized signals. We assume that a decentralized dynamic output feedback has been designed for an interconnected continuous-time LTI system so that the closed-loop system is stable and a desired $H_∞$ disturbance attenuation level is achieved, and that the subsystem measurement outputs are quantized before they are passed to the local controllers. We propose a local-output-dependent strategy for updating the parameters of the quantizers, so that the overall closed-loop system is asymptotically stable and achieves the same $H_∞$ disturbance attenuation level. Both the pre-designed controllers and the parameters of the quantizers are constructed in a decentralized manner, depending on local measurement outputs.},
author = {Guisheng Zhai, Ning Chen, Weihua Gui},
journal = {International Journal of Applied Mathematics and Computer Science},
keywords = {interconnected systems; decentralized $H_∞$ control; dynamic output feedback; quantizer; quantization; matrix inequality; LMI; decentralized control},
language = {eng},
number = {2},
pages = {317-325},
title = {Decentralized design of interconnected $H_∞$ feedback control systems with quantized signals},
url = {http://eudml.org/doc/257112},
volume = {23},
year = {2013},
}

TY - JOUR
AU - Guisheng Zhai
AU - Ning Chen
AU - Weihua Gui
TI - Decentralized design of interconnected $H_∞$ feedback control systems with quantized signals
JO - International Journal of Applied Mathematics and Computer Science
PY - 2013
VL - 23
IS - 2
SP - 317
EP - 325
AB - In this paper, we consider the design of interconnected $H_∞$ feedback control systems with quantized signals. We assume that a decentralized dynamic output feedback has been designed for an interconnected continuous-time LTI system so that the closed-loop system is stable and a desired $H_∞$ disturbance attenuation level is achieved, and that the subsystem measurement outputs are quantized before they are passed to the local controllers. We propose a local-output-dependent strategy for updating the parameters of the quantizers, so that the overall closed-loop system is asymptotically stable and achieves the same $H_∞$ disturbance attenuation level. Both the pre-designed controllers and the parameters of the quantizers are constructed in a decentralized manner, depending on local measurement outputs.
LA - eng
KW - interconnected systems; decentralized $H_∞$ control; dynamic output feedback; quantizer; quantization; matrix inequality; LMI; decentralized control
UR - http://eudml.org/doc/257112
ER -

References

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  15. Zhai, G., Chen, N. and Gui, W. (2010). Quantizer design for interconnected feedback control systems, Journal of Control Theory and Applications 8(1): 93-98. 
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