On a new method for H2-based decomposition

Amin Nobakhti; Hong Wang

doi:10.1109/TAC.2006.886512

On a new method for H2-based decomposition

Amin Nobakhti, Hong Wang

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

Abstract

This note proposes a simple linear matrix inequality (LMI) system for the design of static precompensators to reduce the interactions of a multivariable system. The approach is based on minimizing the H2 norm of a modified system and the LMIs are derived from the well known technique of pseudodiagonalisation. The approach is applied to two complex real-life benchmark problems with high levels of interaction. It is shown that its performance is significantly better than previously proposed LMI optimization techniques for designing static precompensators. © 2006 IEEE.

Original language	English
Pages (from-to)	1956-1961
Number of pages	5
Journal	IEEE Transactions on Automatic Control
Volume	51
Issue number	12
DOIs	https://doi.org/10.1109/TAC.2006.886512
Publication status	Published - Dec 2006

Keywords

Decentralized control
H2 optimization
Large-scale systems
Linear matrix inequality (LMI)
Pseudodiagonalisation

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10.1109/TAC.2006.886512

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title = "On a new method for H2-based decomposition",

abstract = "This note proposes a simple linear matrix inequality (LMI) system for the design of static precompensators to reduce the interactions of a multivariable system. The approach is based on minimizing the H2 norm of a modified system and the LMIs are derived from the well known technique of pseudodiagonalisation. The approach is applied to two complex real-life benchmark problems with high levels of interaction. It is shown that its performance is significantly better than previously proposed LMI optimization techniques for designing static precompensators. {\textcopyright} 2006 IEEE.",

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AB - This note proposes a simple linear matrix inequality (LMI) system for the design of static precompensators to reduce the interactions of a multivariable system. The approach is based on minimizing the H2 norm of a modified system and the LMIs are derived from the well known technique of pseudodiagonalisation. The approach is applied to two complex real-life benchmark problems with high levels of interaction. It is shown that its performance is significantly better than previously proposed LMI optimization techniques for designing static precompensators. © 2006 IEEE.

KW - Decentralized control

KW - H2 optimization

KW - Large-scale systems

KW - Linear matrix inequality (LMI)

KW - Pseudodiagonalisation

U2 - 10.1109/TAC.2006.886512

DO - 10.1109/TAC.2006.886512

M3 - Article

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SN - 2334-3303

VL - 51

SP - 1956

EP - 1961

JO - IEEE Transactions on Automatic Control

JF - IEEE Transactions on Automatic Control

IS - 12

ER -

On a new method for H2-based decomposition

Abstract

Keywords

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