Spatial balanced model reduction for flexible structures

S. O.Reza Moheimani; Hemanshu R. Pota; Ian R. Petersen

Spatial balanced model reduction for flexible structures

S. O.Reza Moheimani^*
, Hemanshu R. Pota
, Ian R. Petersen

^*Corresponding author for this work

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

9 Citations (Scopus)

Abstract

This paper considers the problem of balanced model reduction for a class of distributed parameter systems. The system is assumed to have a finite-dimensional state vector as well as a finite dimensional input vector. However, the output is allowed to be of infinite dimension. This often occurs in the modelling of physical systems such as flexible structures, acoustic ducts, etc. It is shown that a reduced model based on balanced truncation guarantees an upper bound on the H _∞ norm of the error system.

Original language	English
Pages (from-to)	3098-3102
Number of pages	5
Journal	Proceedings of the American Control Conference
Volume	5
Publication status	Published - 1997
Externally published	Yes
Event	Proceedings of the 1997 American Control Conference. Part 3 (of 6) - Albuquerque, NM, USA Duration: 4 Jun 1997 → 6 Jun 1997

Cite this

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title = "Spatial balanced model reduction for flexible structures",

abstract = "This paper considers the problem of balanced model reduction for a class of distributed parameter systems. The system is assumed to have a finite-dimensional state vector as well as a finite dimensional input vector. However, the output is allowed to be of infinite dimension. This often occurs in the modelling of physical systems such as flexible structures, acoustic ducts, etc. It is shown that a reduced model based on balanced truncation guarantees an upper bound on the H ∞ norm of the error system.",

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year = "1997",

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journal = "Proceedings of the American Control Conference",

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note = "Proceedings of the 1997 American Control Conference. Part 3 (of 6) ; Conference date: 04-06-1997 Through 06-06-1997",

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T1 - Spatial balanced model reduction for flexible structures

AU - Moheimani, S. O.Reza

AU - Pota, Hemanshu R.

AU - Petersen, Ian R.

PY - 1997

Y1 - 1997

N2 - This paper considers the problem of balanced model reduction for a class of distributed parameter systems. The system is assumed to have a finite-dimensional state vector as well as a finite dimensional input vector. However, the output is allowed to be of infinite dimension. This often occurs in the modelling of physical systems such as flexible structures, acoustic ducts, etc. It is shown that a reduced model based on balanced truncation guarantees an upper bound on the H ∞ norm of the error system.

AB - This paper considers the problem of balanced model reduction for a class of distributed parameter systems. The system is assumed to have a finite-dimensional state vector as well as a finite dimensional input vector. However, the output is allowed to be of infinite dimension. This often occurs in the modelling of physical systems such as flexible structures, acoustic ducts, etc. It is shown that a reduced model based on balanced truncation guarantees an upper bound on the H ∞ norm of the error system.

UR - https://www.scopus.com/pages/publications/0030654373

M3 - Conference article

AN - SCOPUS:0030654373

SN - 0743-1619

VL - 5

SP - 3098

EP - 3102

JO - Proceedings of the American Control Conference

JF - Proceedings of the American Control Conference

T2 - Proceedings of the 1997 American Control Conference. Part 3 (of 6)

Y2 - 4 June 1997 through 6 June 1997

ER -

Spatial balanced model reduction for flexible structures

Abstract

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