H∞ control of two-time-scale systems

Hassan K. Khalil; Fu-Chuang Chen

doi:10.1016/0167-6911(92)90037-S

H_∞ control of two-time-scale systems

Hassan K. Khalil^*, Fu-Chuang Chen

^*Corresponding author for this work

National Yang Ming Chiao Tung University

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

59 Scopus citations

Abstract

H_∞ control of linear time-invariant singularly perturbed systems is considered. A sequential procedure is described to decompose the problem into slow and fast subproblems. The fast problem is solved first. Then the slow problem is solved under a constraint on the value of the compensator at infinity. A composite compensator is formed as the parallel connection of the fast compensator with the strictly proper part of the slow compensator. The asymptotic validity of the composite compensator is established.

Original language	English
Pages (from-to)	35-42
Number of pages	8
Journal	Systems and Control Letters
Volume	19
Issue number	1
DOIs	https://doi.org/10.1016/0167-6911(92)90037-S
State	Published - 1 Jan 1992

Keywords

H control
multiple time scales
Singular perturbation

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10.1016/0167-6911(92)90037-S

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abstract = "H∞ control of linear time-invariant singularly perturbed systems is considered. A sequential procedure is described to decompose the problem into slow and fast subproblems. The fast problem is solved first. Then the slow problem is solved under a constraint on the value of the compensator at infinity. A composite compensator is formed as the parallel connection of the fast compensator with the strictly proper part of the slow compensator. The asymptotic validity of the composite compensator is established.",

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N2 - H∞ control of linear time-invariant singularly perturbed systems is considered. A sequential procedure is described to decompose the problem into slow and fast subproblems. The fast problem is solved first. Then the slow problem is solved under a constraint on the value of the compensator at infinity. A composite compensator is formed as the parallel connection of the fast compensator with the strictly proper part of the slow compensator. The asymptotic validity of the composite compensator is established.

AB - H∞ control of linear time-invariant singularly perturbed systems is considered. A sequential procedure is described to decompose the problem into slow and fast subproblems. The fast problem is solved first. Then the slow problem is solved under a constraint on the value of the compensator at infinity. A composite compensator is formed as the parallel connection of the fast compensator with the strictly proper part of the slow compensator. The asymptotic validity of the composite compensator is established.

KW - H control

KW - multiple time scales

KW - Singular perturbation

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U2 - 10.1016/0167-6911(92)90037-S

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JO - Systems and Control Letters

JF - Systems and Control Letters

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ER -

H_∞ control of two-time-scale systems

Abstract

Keywords

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