Decentralized robust control of large-scale systems via sensitivity reduction to the interactions

B. Labibi; B. Lohmann; A. Khaki Sedigh; P. Jabeda Maralani

doi:10.1109/acc.2000.876613

Decentralized robust control of large-scale systems via sensitivity reduction to the interactions

B. Labibi, B. Lohmann, A. Khaki Sedigh, P. Jabeda Maralani

Research output: Contribution to journal › Article › peer-review

4 Scopus citations

Abstract

In this paper, the problem of achieving stability and certain H_∞ performance objective for a large-scale system by a decentralized feedback law is considered. It is shown in order to reduce the sensitivity to the interactions, the states of the other subsystems can be considered as external disturbances for each subsystem. An appropriate H_∞ controller is designed for each subsystem. Solving H_∞ problems for the subsystems, the sensitivity to the interactions is reduced and the performance problem which is formulated as the standard weighted mixed sensitivity H_∞ problem, is solved. Sufficient conditions are derived when satisfied to assure the overall stability.

Original language	English
Pages (from-to)	819-823
Number of pages	5
Journal	Proceedings of the American Control Conference
Volume	2
DOIs	https://doi.org/10.1109/acc.2000.876613
State	Published - 2000
Externally published	Yes

Keywords

Decentralized control
H control
Large-scale systems
Robust control

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10.1109/acc.2000.876613

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abstract = "In this paper, the problem of achieving stability and certain H∞ performance objective for a large-scale system by a decentralized feedback law is considered. It is shown in order to reduce the sensitivity to the interactions, the states of the other subsystems can be considered as external disturbances for each subsystem. An appropriate H∞ controller is designed for each subsystem. Solving H∞ problems for the subsystems, the sensitivity to the interactions is reduced and the performance problem which is formulated as the standard weighted mixed sensitivity H∞ problem, is solved. Sufficient conditions are derived when satisfied to assure the overall stability.",

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AU - Labibi, B.

AU - Lohmann, B.

AU - Sedigh, A. Khaki

AU - Maralani, P. Jabeda

PY - 2000

Y1 - 2000

N2 - In this paper, the problem of achieving stability and certain H∞ performance objective for a large-scale system by a decentralized feedback law is considered. It is shown in order to reduce the sensitivity to the interactions, the states of the other subsystems can be considered as external disturbances for each subsystem. An appropriate H∞ controller is designed for each subsystem. Solving H∞ problems for the subsystems, the sensitivity to the interactions is reduced and the performance problem which is formulated as the standard weighted mixed sensitivity H∞ problem, is solved. Sufficient conditions are derived when satisfied to assure the overall stability.

AB - In this paper, the problem of achieving stability and certain H∞ performance objective for a large-scale system by a decentralized feedback law is considered. It is shown in order to reduce the sensitivity to the interactions, the states of the other subsystems can be considered as external disturbances for each subsystem. An appropriate H∞ controller is designed for each subsystem. Solving H∞ problems for the subsystems, the sensitivity to the interactions is reduced and the performance problem which is formulated as the standard weighted mixed sensitivity H∞ problem, is solved. Sufficient conditions are derived when satisfied to assure the overall stability.

KW - Decentralized control

KW - H control

KW - Large-scale systems

KW - Robust control

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JO - Proceedings of the American Control Conference

JF - Proceedings of the American Control Conference

ER -

Decentralized robust control of large-scale systems via sensitivity reduction to the interactions

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Keywords

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