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H∞ stabilisation of networked control systems with time delays and packet losses

Published online by Cambridge University Press:  04 September 2014

HONGBO LI,
FUCHUN SUN,
ZENGQI SUN and
CHANGQING YUAN
HONGBO LI
Affiliation:
Department of Computer Science and Technology, Tsinghua University, Beijing, 100084, P. R. China Email: hbli@tsinghua.edu.cn; fcsun@tsinghua.edu.cn; szq-dcs@tsinghua.edu.cn
FUCHUN SUN
Affiliation:
Department of Computer Science and Technology, Tsinghua University, Beijing, 100084, P. R. China Email: hbli@tsinghua.edu.cn; fcsun@tsinghua.edu.cn; szq-dcs@tsinghua.edu.cn
ZENGQI SUN
Affiliation:
Department of Computer Science and Technology, Tsinghua University, Beijing, 100084, P. R. China Email: hbli@tsinghua.edu.cn; fcsun@tsinghua.edu.cn; szq-dcs@tsinghua.edu.cn
CHANGQING YUAN
Affiliation:
Aviation University of Air Force, Changchun, 130022, P. R. China Email: ycq02@mails.tsinghua.edu.cn
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Abstract

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This paper addresses the H∞ state feedback stabilisation problem for networked control systems (NCSs) in the presence of time delays and packet losses. By introducing the concept of an effective sensor packet, the NCS is transformed into a new discrete-time switched model, where the parameters have a clear physical meaning and can be easily determined. In this framework, we derive the stability conditions of the closed-loop system in the H∞ sense, and also provide the corresponding H∞ stabilising controller design method. Finally, we give simulation and experimental results to demonstrate the effectiveness of the proposed approaches.

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