On structural property metrics for Model Error of linear systems

Xiaojing Yang; Xuerui Wang; Changchuan Xie; J. Jim Zhu

doi:10.1109/ACC.2016.7525070

On structural property metrics for Model Error of linear systems

Xiaojing Yang, Xuerui Wang, Changchuan Xie, J. Jim Zhu

Control & Simulation

Research output: Chapter in Book/Conference proceedings/Edited volume › Conference contribution › Scientific › peer-review

Abstract

Controllability Margin (CM) and Observability Margin (OM) for linear systems, including Linear Time Invariant (LTI) and Linear Time Varying (LTV) systems are defined from the view of singular perturbation and regular perturbation, and the corresponding assessment methods are established. Based on the CM, OM and the recently introduced Singular Perturbation Margin (SPM) and Generalized Gain Margin (GGM), the concept of Model Error Structure (MES) is provided as a structural property metric for linear systems. The results in this paper are illustrated by the examples of a flexible beam and Hill equations.

Original language	English
Title of host publication	2016 American Control Conference, ACC 2016
Publisher	Institute of Electrical and Electronics Engineers (IEEE)
Pages	1148-1153
Number of pages	6
Volume	2016-July
ISBN (Electronic)	9781467386821
DOIs	https://doi.org/10.1109/ACC.2016.7525070
Publication status	Published - 28 Jul 2016
Event	American Control Conference (ACC), 2016 - Boston, MA, United States Duration: 6 Jul 2016 → 8 Jul 2016

Conference

Conference	American Control Conference (ACC), 2016
Abbreviated title	ACC 2016
Country/Territory	United States
City	Boston, MA
Period	6/07/16 → 8/07/16

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10.1109/ACC.2016.7525070

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title = "On structural property metrics for Model Error of linear systems",

abstract = "Controllability Margin (CM) and Observability Margin (OM) for linear systems, including Linear Time Invariant (LTI) and Linear Time Varying (LTV) systems are defined from the view of singular perturbation and regular perturbation, and the corresponding assessment methods are established. Based on the CM, OM and the recently introduced Singular Perturbation Margin (SPM) and Generalized Gain Margin (GGM), the concept of Model Error Structure (MES) is provided as a structural property metric for linear systems. The results in this paper are illustrated by the examples of a flexible beam and Hill equations.",

author = "Xiaojing Yang and Xuerui Wang and Changchuan Xie and Zhu, {J. Jim}",

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language = "English",

volume = "2016-July",

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booktitle = "2016 American Control Conference, ACC 2016",

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address = "United States",

note = "American Control Conference (ACC), 2016, ACC 2016 ; Conference date: 06-07-2016 Through 08-07-2016",

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On structural property metrics for Model Error of linear systems. / Yang, Xiaojing; Wang, Xuerui; Xie, Changchuan et al.
2016 American Control Conference, ACC 2016. Vol. 2016-July Institute of Electrical and Electronics Engineers (IEEE), 2016. p. 1148-1153 7525070.

Research output: Chapter in Book/Conference proceedings/Edited volume › Conference contribution › Scientific › peer-review

TY - GEN

T1 - On structural property metrics for Model Error of linear systems

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AU - Wang, Xuerui

AU - Xie, Changchuan

AU - Zhu, J. Jim

PY - 2016/7/28

Y1 - 2016/7/28

N2 - Controllability Margin (CM) and Observability Margin (OM) for linear systems, including Linear Time Invariant (LTI) and Linear Time Varying (LTV) systems are defined from the view of singular perturbation and regular perturbation, and the corresponding assessment methods are established. Based on the CM, OM and the recently introduced Singular Perturbation Margin (SPM) and Generalized Gain Margin (GGM), the concept of Model Error Structure (MES) is provided as a structural property metric for linear systems. The results in this paper are illustrated by the examples of a flexible beam and Hill equations.

AB - Controllability Margin (CM) and Observability Margin (OM) for linear systems, including Linear Time Invariant (LTI) and Linear Time Varying (LTV) systems are defined from the view of singular perturbation and regular perturbation, and the corresponding assessment methods are established. Based on the CM, OM and the recently introduced Singular Perturbation Margin (SPM) and Generalized Gain Margin (GGM), the concept of Model Error Structure (MES) is provided as a structural property metric for linear systems. The results in this paper are illustrated by the examples of a flexible beam and Hill equations.

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U2 - 10.1109/ACC.2016.7525070

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M3 - Conference contribution

AN - SCOPUS:84992110672

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BT - 2016 American Control Conference, ACC 2016

PB - Institute of Electrical and Electronics Engineers (IEEE)

T2 - American Control Conference (ACC), 2016

Y2 - 6 July 2016 through 8 July 2016

ER -

On structural property metrics for Model Error of linear systems

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