Error bound for transfer function order reduction using freqeuncy weighted balanced truncation

Woo Kim Sang Woo Kim; Brian D.O. Anderson; Anton G. Madievski

doi:10.1016/0167-6911(94)00033-R

Error bound for transfer function order reduction using freqeuncy weighted balanced truncation

Woo Kim Sang Woo Kim, Brian D.O. Anderson, Anton G. Madievski^*

^*Corresponding author for this work

School of Engineering

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

32 Citations (Scopus)

Abstract

An error bound for transfer function order reduction is derived, when frequency weighted balanced truncation is the order reduction method. The bound is valid for both one-sided (input or output) and two-sided weighted balancing approximations with stable weights, which can otherwise be arbitrary. The error bound formula is valid for both discrete-time and continuous-time problems. Examples are studied to demonstrate effectiveness of the error bound.

Original language	English
Pages (from-to)	183-192
Number of pages	10
Journal	Systems and Control Letters
Volume	24
Issue number	3
DOIs	https://doi.org/10.1016/0167-6911(94)00033-R
Publication status	Published - 13 Feb 1995

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title = "Error bound for transfer function order reduction using freqeuncy weighted balanced truncation",

abstract = "An error bound for transfer function order reduction is derived, when frequency weighted balanced truncation is the order reduction method. The bound is valid for both one-sided (input or output) and two-sided weighted balancing approximations with stable weights, which can otherwise be arbitrary. The error bound formula is valid for both discrete-time and continuous-time problems. Examples are studied to demonstrate effectiveness of the error bound.",

keywords = "Balanced truncation, Controller order reduction, Frequency domain error bound, Frequency weighting",

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AU - Sang Woo Kim, Woo Kim

AU - Anderson, Brian D.O.

AU - Madievski, Anton G.

PY - 1995/2/13

Y1 - 1995/2/13

N2 - An error bound for transfer function order reduction is derived, when frequency weighted balanced truncation is the order reduction method. The bound is valid for both one-sided (input or output) and two-sided weighted balancing approximations with stable weights, which can otherwise be arbitrary. The error bound formula is valid for both discrete-time and continuous-time problems. Examples are studied to demonstrate effectiveness of the error bound.

AB - An error bound for transfer function order reduction is derived, when frequency weighted balanced truncation is the order reduction method. The bound is valid for both one-sided (input or output) and two-sided weighted balancing approximations with stable weights, which can otherwise be arbitrary. The error bound formula is valid for both discrete-time and continuous-time problems. Examples are studied to demonstrate effectiveness of the error bound.

KW - Balanced truncation

KW - Controller order reduction

KW - Frequency domain error bound

KW - Frequency weighting

UR - https://www.scopus.com/pages/publications/0029255267

U2 - 10.1016/0167-6911(94)00033-R

DO - 10.1016/0167-6911(94)00033-R

M3 - Article

AN - SCOPUS:0029255267

SN - 0167-6911

VL - 24

SP - 183

EP - 192

JO - Systems and Control Letters

JF - Systems and Control Letters

IS - 3

ER -

Error bound for transfer function order reduction using freqeuncy weighted balanced truncation

Abstract

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