Delay-dependent guaranteed cost control for uncertain discrete-time state-delayed systems

Liguo Zhang; Yangzhou Chen; Pingyuan Cui

doi:10.1109/WCICA.2006.1712758

Delay-dependent guaranteed cost control for uncertain discrete-time state-delayed systems

Liguo Zhang^*, Yangzhou Chen, Pingyuan Cui

^*Corresponding author for this work

Beijing University of Technology

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

2 Citations (Scopus)

Abstract

This paper considers robust guaranteed cost control problem for uncertain linear discrete time-delay systems with state delays and a given quadratic cost function. By linear matrix inequality (LMI) approach, we obtain new delay-dependent sufficient conditions for the existence of a memory state feedback control law, and derive a parameterized characterization of the guaranteed cost controller. Furthermore, incorporating with a minimization problem can optimize the upper bound. A numerical example is given to show the potential of the proposed techniques.

Original language	English
Title of host publication	Proceedings of the World Congress on Intelligent Control and Automation (WCICA)
Pages	2244-2248
Number of pages	5
DOIs	https://doi.org/10.1109/WCICA.2006.1712758
Publication status	Published - 2006
Externally published	Yes
Event	6th World Congress on Intelligent Control and Automation, WCICA 2006 - Dalian, China Duration: 21 Jun 2006 → 23 Jun 2006

Publication series

Name	Proceedings of the World Congress on Intelligent Control and Automation (WCICA)
Volume	1

Conference

Conference	6th World Congress on Intelligent Control and Automation, WCICA 2006
Country/Territory	China
City	Dalian
Period	21/06/06 → 23/06/06

Keywords

Discrete-time systems
Guaranteed cost control
Linear matrix inequality
Memory state feedback
Time-delay systems

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10.1109/WCICA.2006.1712758

Cite this

Zhang, L., Chen, Y., & Cui, P. (2006). Delay-dependent guaranteed cost control for uncertain discrete-time state-delayed systems. In Proceedings of the World Congress on Intelligent Control and Automation (WCICA) (pp. 2244-2248). Article 1712758 (Proceedings of the World Congress on Intelligent Control and Automation (WCICA); Vol. 1). https://doi.org/10.1109/WCICA.2006.1712758

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title = "Delay-dependent guaranteed cost control for uncertain discrete-time state-delayed systems",

abstract = "This paper considers robust guaranteed cost control problem for uncertain linear discrete time-delay systems with state delays and a given quadratic cost function. By linear matrix inequality (LMI) approach, we obtain new delay-dependent sufficient conditions for the existence of a memory state feedback control law, and derive a parameterized characterization of the guaranteed cost controller. Furthermore, incorporating with a minimization problem can optimize the upper bound. A numerical example is given to show the potential of the proposed techniques.",

keywords = "Discrete-time systems, Guaranteed cost control, Linear matrix inequality, Memory state feedback, Time-delay systems",

author = "Liguo Zhang and Yangzhou Chen and Pingyuan Cui",

year = "2006",

doi = "10.1109/WCICA.2006.1712758",

language = "English",

isbn = "1424403324",

series = "Proceedings of the World Congress on Intelligent Control and Automation (WCICA)",

pages = "2244--2248",

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note = "6th World Congress on Intelligent Control and Automation, WCICA 2006 ; Conference date: 21-06-2006 Through 23-06-2006",

}

Zhang, L, Chen, Y & Cui, P 2006, Delay-dependent guaranteed cost control for uncertain discrete-time state-delayed systems. in Proceedings of the World Congress on Intelligent Control and Automation (WCICA)., 1712758, Proceedings of the World Congress on Intelligent Control and Automation (WCICA), vol. 1, pp. 2244-2248, 6th World Congress on Intelligent Control and Automation, WCICA 2006, Dalian, China, 21/06/06. https://doi.org/10.1109/WCICA.2006.1712758

Delay-dependent guaranteed cost control for uncertain discrete-time state-delayed systems. / Zhang, Liguo; Chen, Yangzhou; Cui, Pingyuan.
Proceedings of the World Congress on Intelligent Control and Automation (WCICA). 2006. p. 2244-2248 1712758 (Proceedings of the World Congress on Intelligent Control and Automation (WCICA); Vol. 1).

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

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AU - Chen, Yangzhou

AU - Cui, Pingyuan

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N2 - This paper considers robust guaranteed cost control problem for uncertain linear discrete time-delay systems with state delays and a given quadratic cost function. By linear matrix inequality (LMI) approach, we obtain new delay-dependent sufficient conditions for the existence of a memory state feedback control law, and derive a parameterized characterization of the guaranteed cost controller. Furthermore, incorporating with a minimization problem can optimize the upper bound. A numerical example is given to show the potential of the proposed techniques.

AB - This paper considers robust guaranteed cost control problem for uncertain linear discrete time-delay systems with state delays and a given quadratic cost function. By linear matrix inequality (LMI) approach, we obtain new delay-dependent sufficient conditions for the existence of a memory state feedback control law, and derive a parameterized characterization of the guaranteed cost controller. Furthermore, incorporating with a minimization problem can optimize the upper bound. A numerical example is given to show the potential of the proposed techniques.

KW - Discrete-time systems

KW - Guaranteed cost control

KW - Linear matrix inequality

KW - Memory state feedback

KW - Time-delay systems

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DO - 10.1109/WCICA.2006.1712758

M3 - Conference contribution

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SN - 1424403324

SN - 9781424403325

T3 - Proceedings of the World Congress on Intelligent Control and Automation (WCICA)

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BT - Proceedings of the World Congress on Intelligent Control and Automation (WCICA)

T2 - 6th World Congress on Intelligent Control and Automation, WCICA 2006

Y2 - 21 June 2006 through 23 June 2006

ER -

Delay-dependent guaranteed cost control for uncertain discrete-time state-delayed systems

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Keywords

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