Robust decentralized H∞ control of multi-channel uncertain descriptor systems with time-delay

Ning Chen; Guisheng Zhai; Weihua Gui

doi:10.1109/CCA.2007.4389462

Robust decentralized H_∞ control of multi-channel uncertain descriptor systems with time-delay

Ning Chen, Guisheng Zhai, Weihua Gui

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

2 Citations (Scopus)

Abstract

This paper considers a robust decentralized H_∞ control problem for uncertain multi-channel descriptor systems with time-delay. 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	16th IEEE International Conference on Control Applications, CCA 2007. Part of IEEE Multi-conference on Systems and Control
Pages	1577-1582
Number of pages	6
DOIs	https://doi.org/10.1109/CCA.2007.4389462
Publication status	Published - 2007
Externally published	Yes
Event	16th IEEE International Conference on Control Applications, CCA 2007. Part of IEEE Multi-conference on Systems and Control - , Singapore Duration: 2007 Oct 1 → 2007 Oct 3

Publication series

Name	Proceedings of the IEEE International Conference on Control Applications

Conference

Conference	16th IEEE International Conference on Control Applications, CCA 2007. Part of IEEE Multi-conference on Systems and Control
Country/Territory	Singapore
Period	07/10/1 → 07/10/3

ASJC Scopus subject areas

Engineering(all)

Access to Document

10.1109/CCA.2007.4389462

Cite this

Chen, N., Zhai, G., & Gui, W. (2007). Robust decentralized H_∞ control of multi-channel uncertain descriptor systems with time-delay. In 16th IEEE International Conference on Control Applications, CCA 2007. Part of IEEE Multi-conference on Systems and Control (pp. 1577-1582). [4389462] (Proceedings of the IEEE International Conference on Control Applications). https://doi.org/10.1109/CCA.2007.4389462

Robust decentralized H_∞ control of multi-channel uncertain descriptor systems with time-delay. / Chen, Ning; Zhai, Guisheng; Gui, Weihua.

16th IEEE International Conference on Control Applications, CCA 2007. Part of IEEE Multi-conference on Systems and Control. 2007. p. 1577-1582 4389462 (Proceedings of the IEEE International Conference on Control Applications).

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

Chen, N, Zhai, G & Gui, W 2007, Robust decentralized H_∞ control of multi-channel uncertain descriptor systems with time-delay. in 16th IEEE International Conference on Control Applications, CCA 2007. Part of IEEE Multi-conference on Systems and Control., 4389462, Proceedings of the IEEE International Conference on Control Applications, pp. 1577-1582, 16th IEEE International Conference on Control Applications, CCA 2007. Part of IEEE Multi-conference on Systems and Control, Singapore, 07/10/1. https://doi.org/10.1109/CCA.2007.4389462

Chen N, Zhai G, Gui W. Robust decentralized H_∞ control of multi-channel uncertain descriptor systems with time-delay. In 16th IEEE International Conference on Control Applications, CCA 2007. Part of IEEE Multi-conference on Systems and Control. 2007. p. 1577-1582. 4389462. (Proceedings of the IEEE International Conference on Control Applications). doi: 10.1109/CCA.2007.4389462

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