LMI approach to the output-feedback guaranteed cost control for uncertain time-delay systems

Said H. Esfahani; Ian R. Petersen

doi:10.1109/CDC.1998.758474

LMI approach to the output-feedback guaranteed cost control for uncertain time-delay systems

Said H. Esfahani^*
, Ian R. Petersen

^*Corresponding author for this work

Research output: Contribution to journal › Conference article › peer-review

34 Citations (Scopus)

Abstract

This paper considers the problem of output-feedback guaranteed cost controller design for uncertain time-delay systems. The uncertainty in the system is assumed to be norm-bounded and time-varying. The time-delay is allowed to enter the state and the measurement equations. It is proved that the existence of the guaranteed cost controller is equivalent to the feasibility of certain matrix inequalities. A numerical algorithm is developed to construct a full order output-feedback controller that minimizes a specific cost bound for a quadratic performance index.

Original language	English
Pages (from-to)	1358-1363
Number of pages	6
Journal	Proceedings of the IEEE Conference on Decision and Control
Volume	2
DOIs	https://doi.org/10.1109/CDC.1998.758474
Publication status	Published - 1998
Externally published	Yes
Event	Proceedings of the 1998 37th IEEE Conference on Decision and Control (CDC) - Tampa, FL, USA Duration: 16 Dec 1998 → 18 Dec 1998

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10.1109/CDC.1998.758474

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abstract = "This paper considers the problem of output-feedback guaranteed cost controller design for uncertain time-delay systems. The uncertainty in the system is assumed to be norm-bounded and time-varying. The time-delay is allowed to enter the state and the measurement equations. It is proved that the existence of the guaranteed cost controller is equivalent to the feasibility of certain matrix inequalities. A numerical algorithm is developed to construct a full order output-feedback controller that minimizes a specific cost bound for a quadratic performance index.",

author = "Esfahani, \{Said H.\} and Petersen, \{Ian R.\}",

year = "1998",

doi = "10.1109/CDC.1998.758474",

language = "English",

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journal = "Proceedings of the IEEE Conference on Decision and Control",

issn = "0743-1546",

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note = "Proceedings of the 1998 37th IEEE Conference on Decision and Control (CDC) ; Conference date: 16-12-1998 Through 18-12-1998",

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AU - Esfahani, Said H.

AU - Petersen, Ian R.

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AB - This paper considers the problem of output-feedback guaranteed cost controller design for uncertain time-delay systems. The uncertainty in the system is assumed to be norm-bounded and time-varying. The time-delay is allowed to enter the state and the measurement equations. It is proved that the existence of the guaranteed cost controller is equivalent to the feasibility of certain matrix inequalities. A numerical algorithm is developed to construct a full order output-feedback controller that minimizes a specific cost bound for a quadratic performance index.

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UR - https://ieeexplore-ieee-org.virtual.anu.edu.au/document/758474

U2 - 10.1109/CDC.1998.758474

DO - 10.1109/CDC.1998.758474

M3 - Conference article

SN - 0743-1546

VL - 2

SP - 1358

EP - 1363

JO - Proceedings of the IEEE Conference on Decision and Control

JF - Proceedings of the IEEE Conference on Decision and Control

T2 - Proceedings of the 1998 37th IEEE Conference on Decision and Control (CDC)

Y2 - 16 December 1998 through 18 December 1998

ER -

LMI approach to the output-feedback guaranteed cost control for uncertain time-delay systems

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