Robustness of observability of linear systems

Xiao Ming Wang; Hu Tao Cui; Ping Yuan Cui

Robustness of observability of linear systems

Xiao Ming Wang^*
, Hu Tao Cui
, Ping Yuan Cui

^*Corresponding author for this work

Harbin Institute of Technology

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

1 Citation (Scopus)

Abstract

The robustness of observability is studied for linear systems under nonlinear perturbations in the state dynamics and the output channel. For time-invariant linear systems, it is shown that the observability will be locally preserved if the perturbations have the property of higher order infinitesimal. Further, this result is extended to time-varying linear systems, which demonstrates the validity of linearization for observability analysis of nonlinear systems. Two numerical examples are given to illustrate the presented result.

Original language	English
Pages (from-to)	286-290
Number of pages	5
Journal	Jilin Daxue Xuebao (Gongxueban)/Journal of Jilin University (Engineering and Technology Edition)
Volume	39
Issue number	SUPPL. 1
Publication status	Published - Mar 2009
Externally published	Yes

Keywords

Automatic control technology
Linear systems
Observability
Perturbation
Robustness

Cite this

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title = "Robustness of observability of linear systems",

abstract = "The robustness of observability is studied for linear systems under nonlinear perturbations in the state dynamics and the output channel. For time-invariant linear systems, it is shown that the observability will be locally preserved if the perturbations have the property of higher order infinitesimal. Further, this result is extended to time-varying linear systems, which demonstrates the validity of linearization for observability analysis of nonlinear systems. Two numerical examples are given to illustrate the presented result.",

keywords = "Automatic control technology, Linear systems, Observability, Perturbation, Robustness",

author = "Wang, \{Xiao Ming\} and Cui, \{Hu Tao\} and Cui, \{Ping Yuan\}",

year = "2009",

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language = "English",

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journal = "Jilin Daxue Xuebao (Gongxueban)/Journal of Jilin University (Engineering and Technology Edition)",

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T1 - Robustness of observability of linear systems

AU - Wang, Xiao Ming

AU - Cui, Hu Tao

AU - Cui, Ping Yuan

PY - 2009/3

Y1 - 2009/3

N2 - The robustness of observability is studied for linear systems under nonlinear perturbations in the state dynamics and the output channel. For time-invariant linear systems, it is shown that the observability will be locally preserved if the perturbations have the property of higher order infinitesimal. Further, this result is extended to time-varying linear systems, which demonstrates the validity of linearization for observability analysis of nonlinear systems. Two numerical examples are given to illustrate the presented result.

AB - The robustness of observability is studied for linear systems under nonlinear perturbations in the state dynamics and the output channel. For time-invariant linear systems, it is shown that the observability will be locally preserved if the perturbations have the property of higher order infinitesimal. Further, this result is extended to time-varying linear systems, which demonstrates the validity of linearization for observability analysis of nonlinear systems. Two numerical examples are given to illustrate the presented result.

KW - Automatic control technology

KW - Linear systems

KW - Observability

KW - Perturbation

KW - Robustness

UR - https://www.scopus.com/pages/publications/65349191747

M3 - Article

AN - SCOPUS:65349191747

SN - 1671-5497

VL - 39

SP - 286

EP - 290

JO - Jilin Daxue Xuebao (Gongxueban)/Journal of Jilin University (Engineering and Technology Edition)

JF - Jilin Daxue Xuebao (Gongxueban)/Journal of Jilin University (Engineering and Technology Edition)

IS - SUPPL. 1

ER -

Robustness of observability of linear systems

Abstract

Keywords

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