Decentralized generalized H2 control of multi-channel uncertain systems with time-delays

Ning Chen; Weihua Gui; Guisheng Zhai

doi:10.1109/ICNSC.2008.4525210

Decentralized generalized H₂ control of multi-channel uncertain systems with time-delays

Ning Chen, Weihua Gui, Guisheng Zhai

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

Abstract

This paper considers a decentralized generalized H₂ control problem for uncertain multi-channel systems with time-delays. The uncertainties are assumed to be time-invariant, norm-bounded, and exist in the system, time-delay and output matrices. Our interest is focused on dynamic output feedback. A sufficient condition for the uncertain multi-channel time-delay system to be admissible with a specified disturbance attenuation level is derived based on the theorem of Lyapunov stability theory. By setting the Lyapunov matrix as block diagonal appropriately according to the desired order of the controller, the problem is reduced to linear matrix inequalities which are sufficient to the existence condition but much more tractable. An example is given to show the efficiency of this method.

Original language	English
Title of host publication	Proceedings of 2008 IEEE International Conference on Networking, Sensing and Control, ICNSC
Pages	201-205
Number of pages	5
DOIs	https://doi.org/10.1109/ICNSC.2008.4525210
Publication status	Published - 2008
Externally published	Yes
Event	2008 IEEE International Conference on Networking, Sensing and Control, ICNSC - Sanya, China Duration: 2008 Apr 6 → 2008 Apr 8

Publication series

Name	Proceedings of 2008 IEEE International Conference on Networking, Sensing and Control, ICNSC

Conference

Conference	2008 IEEE International Conference on Networking, Sensing and Control, ICNSC
Country/Territory	China
City	Sanya
Period	08/4/6 → 08/4/8

ASJC Scopus subject areas

Computer Networks and Communications
Control and Systems Engineering

Access to Document

10.1109/ICNSC.2008.4525210

Cite this

Chen, N., Gui, W., & Zhai, G. (2008). Decentralized generalized H₂ control of multi-channel uncertain systems with time-delays. In Proceedings of 2008 IEEE International Conference on Networking, Sensing and Control, ICNSC (pp. 201-205). [4525210] (Proceedings of 2008 IEEE International Conference on Networking, Sensing and Control, ICNSC). https://doi.org/10.1109/ICNSC.2008.4525210

Decentralized generalized H₂ control of multi-channel uncertain systems with time-delays. / Chen, Ning; Gui, Weihua; Zhai, Guisheng.

Proceedings of 2008 IEEE International Conference on Networking, Sensing and Control, ICNSC. 2008. p. 201-205 4525210 (Proceedings of 2008 IEEE International Conference on Networking, Sensing and Control, ICNSC).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

Chen, N, Gui, W & Zhai, G 2008, Decentralized generalized H₂ control of multi-channel uncertain systems with time-delays. in Proceedings of 2008 IEEE International Conference on Networking, Sensing and Control, ICNSC., 4525210, Proceedings of 2008 IEEE International Conference on Networking, Sensing and Control, ICNSC, pp. 201-205, 2008 IEEE International Conference on Networking, Sensing and Control, ICNSC, Sanya, China, 08/4/6. https://doi.org/10.1109/ICNSC.2008.4525210

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