Robust stabilization of multi-channel descriptor systems with time-delay using decentralized output feedback control

Ning Chen; Guisheng Zhai; Weihua Gui

doi:10.1109/ICMA.2007.4304103

Robust stabilization of multi-channel descriptor systems with time-delay using decentralized output feedback control

Ning Chen, Guisheng Zhai, Weihua Gui

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

Abstract

This paper considers a robust decentralized output feedback stabilization 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. A sufficient condition for the uncertain multichannel time-delay system to be admissible is derived based on 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 the 2007 IEEE International Conference on Mechatronics and Automation, ICMA 2007
Pages	3366-3370
Number of pages	5
DOIs	https://doi.org/10.1109/ICMA.2007.4304103
Publication status	Published - 2007
Externally published	Yes
Event	2007 IEEE International Conference on Mechatronics and Automation, ICMA 2007 - Harbin, China Duration: 2007 Aug 5 → 2007 Aug 8

Publication series

Name	Proceedings of the 2007 IEEE International Conference on Mechatronics and Automation, ICMA 2007

Conference

Conference	2007 IEEE International Conference on Mechatronics and Automation, ICMA 2007
Country/Territory	China
City	Harbin
Period	07/8/5 → 07/8/8

Keywords

Linear matrix inequality (LMI)
Multi-channel descriptor systems
Robust stability
Time-delay
Uncertainties

ASJC Scopus subject areas

Artificial Intelligence
Software
Control and Systems Engineering
Mechanical Engineering

Access to Document

10.1109/ICMA.2007.4304103

Cite this

Chen, N., Zhai, G., & Gui, W. (2007). Robust stabilization of multi-channel descriptor systems with time-delay using decentralized output feedback control. In Proceedings of the 2007 IEEE International Conference on Mechatronics and Automation, ICMA 2007 (pp. 3366-3370). Article 4304103 (Proceedings of the 2007 IEEE International Conference on Mechatronics and Automation, ICMA 2007). https://doi.org/10.1109/ICMA.2007.4304103

Robust stabilization of multi-channel descriptor systems with time-delay using decentralized output feedback control. / Chen, Ning; Zhai, Guisheng; Gui, Weihua.
Proceedings of the 2007 IEEE International Conference on Mechatronics and Automation, ICMA 2007. 2007. p. 3366-3370 4304103 (Proceedings of the 2007 IEEE International Conference on Mechatronics and Automation, ICMA 2007).

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

Chen, N, Zhai, G & Gui, W 2007, Robust stabilization of multi-channel descriptor systems with time-delay using decentralized output feedback control. in Proceedings of the 2007 IEEE International Conference on Mechatronics and Automation, ICMA 2007., 4304103, Proceedings of the 2007 IEEE International Conference on Mechatronics and Automation, ICMA 2007, pp. 3366-3370, 2007 IEEE International Conference on Mechatronics and Automation, ICMA 2007, Harbin, China, 07/8/5. https://doi.org/10.1109/ICMA.2007.4304103

Chen N, Zhai G, Gui W. Robust stabilization of multi-channel descriptor systems with time-delay using decentralized output feedback control. In Proceedings of the 2007 IEEE International Conference on Mechatronics and Automation, ICMA 2007. 2007. p. 3366-3370. 4304103. (Proceedings of the 2007 IEEE International Conference on Mechatronics and Automation, ICMA 2007). doi: 10.1109/ICMA.2007.4304103

Chen, Ning ; Zhai, Guisheng ; Gui, Weihua. / Robust stabilization of multi-channel descriptor systems with time-delay using decentralized output feedback control. Proceedings of the 2007 IEEE International Conference on Mechatronics and Automation, ICMA 2007. 2007. pp. 3366-3370 (Proceedings of the 2007 IEEE International Conference on Mechatronics and Automation, ICMA 2007).

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abstract = "This paper considers a robust decentralized output feedback stabilization 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. A sufficient condition for the uncertain multichannel time-delay system to be admissible is derived based on 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.",

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AB - This paper considers a robust decentralized output feedback stabilization 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. A sufficient condition for the uncertain multichannel time-delay system to be admissible is derived based on 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.

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Robust stabilization of multi-channel descriptor systems with time-delay using decentralized output feedback control

Abstract

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Keywords

ASJC Scopus subject areas

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