Strong stabilization of MIMO systems via ℋ∞ optimization

Abdul Wahid A. Saif; Da Wei Gu; Ian Postlethwaite

doi:10.1016/S0167-6911(97)00039-X

Strong stabilization of MIMO systems via ℋ_∞ optimization

Abdul Wahid A. Saif^*
, Da Wei Gu
, Ian Postlethwaite

^*Corresponding author for this work

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

42 Scopus citations

Abstract

In this paper, the strong stabilization problem of multivariable linear time-invariant systems is considered. The problem is reduced to a 2-block or 1-block ℋ_∞-optimization problem. The solution of this optimization problem, if satisfying an upper bound constraint which depends on an initial choice of a unimodular transfer function in script R signℋ_∞, would be a stable stabilizing controller to the original system.

Original language	English
Pages (from-to)	111-120
Number of pages	10
Journal	Systems and Control Letters
Volume	32
Issue number	2
DOIs	https://doi.org/10.1016/S0167-6911(97)00039-X
State	Published - 3 Nov 1997

Keywords

1-block/2-block model matching problem
Strong stabilization
ℋ-optimization

ASJC Scopus subject areas

Control and Systems Engineering
General Computer Science
Mechanical Engineering
Electrical and Electronic Engineering

Access to Document

10.1016/S0167-6911(97)00039-X

Cite this

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abstract = "In this paper, the strong stabilization problem of multivariable linear time-invariant systems is considered. The problem is reduced to a 2-block or 1-block ℋ∞-optimization problem. The solution of this optimization problem, if satisfying an upper bound constraint which depends on an initial choice of a unimodular transfer function in script R signℋ∞, would be a stable stabilizing controller to the original system.",

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N2 - In this paper, the strong stabilization problem of multivariable linear time-invariant systems is considered. The problem is reduced to a 2-block or 1-block ℋ∞-optimization problem. The solution of this optimization problem, if satisfying an upper bound constraint which depends on an initial choice of a unimodular transfer function in script R signℋ∞, would be a stable stabilizing controller to the original system.

AB - In this paper, the strong stabilization problem of multivariable linear time-invariant systems is considered. The problem is reduced to a 2-block or 1-block ℋ∞-optimization problem. The solution of this optimization problem, if satisfying an upper bound constraint which depends on an initial choice of a unimodular transfer function in script R signℋ∞, would be a stable stabilizing controller to the original system.

KW - 1-block/2-block model matching problem

KW - Strong stabilization

KW - ℋ-optimization

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