Analysis and design of ℋ feedback control systems with two quantized signals

Guisheng Zhai, Xinkai Chen, Joe Imae, Tomoaki Kobayashi

Research output: Chapter in Book/Report/Conference proceedingConference contribution

33 Citations (Scopus)

Abstract

In this paper, we consider analysis and design of ℋ feedback control systems with two quantized signals. We assume that a state feedback has been designed for a continuous-time LTI (linear time-invariant) system so that the closed-loop system is Hurwitz stable and a desired ℋ, disturbance attenuation level is achieved. However, the states are quantized before they are passed to the controller, and the control inputs are quantized before they reach the system. For such quantized feedback control systems, we propose a state-dependent strategy for updating the quantizers' parameters, so that the system is asymptotically stable and achieves the same ℋ disturbance attenuation level. We also extend the discussion to the case of static output feedback where the measured outputs are quantized.

Original languageEnglish
Title of host publicationProceedings of the 2006 IEEE International Conference on Networking, Sensing and Control, ICNSC'06
Pages346-350
Number of pages5
Publication statusPublished - 2006
Event2006 IEEE International Conference on Networking, Sensing and Control, ICNSC'06 - Ft. Lauderdale, FL
Duration: 2006 Apr 232006 Apr 25

Other

Other2006 IEEE International Conference on Networking, Sensing and Control, ICNSC'06
CityFt. Lauderdale, FL
Period06/4/2306/4/25

Fingerprint

Feedback control
Control systems
State feedback
Closed loop systems
Feedback
Controllers

ASJC Scopus subject areas

  • Computer Networks and Communications
  • Control and Systems Engineering

Cite this

Zhai, G., Chen, X., Imae, J., & Kobayashi, T. (2006). Analysis and design of ℋ feedback control systems with two quantized signals. In Proceedings of the 2006 IEEE International Conference on Networking, Sensing and Control, ICNSC'06 (pp. 346-350). [1673170]

Analysis and design of ℋ feedback control systems with two quantized signals. / Zhai, Guisheng; Chen, Xinkai; Imae, Joe; Kobayashi, Tomoaki.

Proceedings of the 2006 IEEE International Conference on Networking, Sensing and Control, ICNSC'06. 2006. p. 346-350 1673170.

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Zhai, G, Chen, X, Imae, J & Kobayashi, T 2006, Analysis and design of ℋ feedback control systems with two quantized signals. in Proceedings of the 2006 IEEE International Conference on Networking, Sensing and Control, ICNSC'06., 1673170, pp. 346-350, 2006 IEEE International Conference on Networking, Sensing and Control, ICNSC'06, Ft. Lauderdale, FL, 06/4/23.
Zhai G, Chen X, Imae J, Kobayashi T. Analysis and design of ℋ feedback control systems with two quantized signals. In Proceedings of the 2006 IEEE International Conference on Networking, Sensing and Control, ICNSC'06. 2006. p. 346-350. 1673170
Zhai, Guisheng ; Chen, Xinkai ; Imae, Joe ; Kobayashi, Tomoaki. / Analysis and design of ℋ feedback control systems with two quantized signals. Proceedings of the 2006 IEEE International Conference on Networking, Sensing and Control, ICNSC'06. 2006. pp. 346-350
@inproceedings{37f73cc448274bdfbfbbce7de4c98bb5,
title = "Analysis and design of ℋ∞ feedback control systems with two quantized signals",
abstract = "In this paper, we consider analysis and design of ℋ∞ feedback control systems with two quantized signals. We assume that a state feedback has been designed for a continuous-time LTI (linear time-invariant) system so that the closed-loop system is Hurwitz stable and a desired ℋ∞, disturbance attenuation level is achieved. However, the states are quantized before they are passed to the controller, and the control inputs are quantized before they reach the system. For such quantized feedback control systems, we propose a state-dependent strategy for updating the quantizers' parameters, so that the system is asymptotically stable and achieves the same ℋ∞ disturbance attenuation level. We also extend the discussion to the case of static output feedback where the measured outputs are quantized.",
author = "Guisheng Zhai and Xinkai Chen and Joe Imae and Tomoaki Kobayashi",
year = "2006",
language = "English",
isbn = "1424400651",
pages = "346--350",
booktitle = "Proceedings of the 2006 IEEE International Conference on Networking, Sensing and Control, ICNSC'06",

}

TY - GEN

T1 - Analysis and design of ℋ∞ feedback control systems with two quantized signals

AU - Zhai, Guisheng

AU - Chen, Xinkai

AU - Imae, Joe

AU - Kobayashi, Tomoaki

PY - 2006

Y1 - 2006

N2 - In this paper, we consider analysis and design of ℋ∞ feedback control systems with two quantized signals. We assume that a state feedback has been designed for a continuous-time LTI (linear time-invariant) system so that the closed-loop system is Hurwitz stable and a desired ℋ∞, disturbance attenuation level is achieved. However, the states are quantized before they are passed to the controller, and the control inputs are quantized before they reach the system. For such quantized feedback control systems, we propose a state-dependent strategy for updating the quantizers' parameters, so that the system is asymptotically stable and achieves the same ℋ∞ disturbance attenuation level. We also extend the discussion to the case of static output feedback where the measured outputs are quantized.

AB - In this paper, we consider analysis and design of ℋ∞ feedback control systems with two quantized signals. We assume that a state feedback has been designed for a continuous-time LTI (linear time-invariant) system so that the closed-loop system is Hurwitz stable and a desired ℋ∞, disturbance attenuation level is achieved. However, the states are quantized before they are passed to the controller, and the control inputs are quantized before they reach the system. For such quantized feedback control systems, we propose a state-dependent strategy for updating the quantizers' parameters, so that the system is asymptotically stable and achieves the same ℋ∞ disturbance attenuation level. We also extend the discussion to the case of static output feedback where the measured outputs are quantized.

UR - http://www.scopus.com/inward/record.url?scp=34250209187&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=34250209187&partnerID=8YFLogxK

M3 - Conference contribution

SN - 1424400651

SN - 9781424400652

SP - 346

EP - 350

BT - Proceedings of the 2006 IEEE International Conference on Networking, Sensing and Control, ICNSC'06

ER -