Robustness Analysis of Descriptor Systems with Parameter Uncertainties

Chunyu Yang; Qingling Zhang; Fuzhen Zhang; Zheng Zhou

doi:10.1007/s12555-010-0204-x

Robustness Analysis of Descriptor Systems with Parameter Uncertainties

Chunyu Yang
, Qingling Zhang
, Fuzhen Zhang
, Zheng Zhou

Department of Mathematics

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

12 Scopus citations

Abstract

This paper investigates the problem of robustness analysis for descriptor systems with parameter uncertainties in both the derivative and state matrices. Using a parameter dependent Lyapunov function we derive a linear matrix inequality (LMI) based sufficient condition for the admissibility of the system. Unlike the existing results, our criterion has no restriction on the rank of the derivative matrix. Further, we use the obtained method to study interval descriptor systems and multi-parameter singular perturbed systems. The proposed approaches overcome some drawbacks of the existing results. Finally, we present two numerical examples to show the effectiveness of the main results. © ICROS, KIEE and Springer 2010.

Original language	American English
Pages (from-to)	204-209
Number of pages	6
Journal	International Journal of Control, Automation, and Systems
Volume	8
Issue number	2
DOIs	https://doi.org/10.1007/s12555-010-0204-x
State	Published - Apr 1 2010

Funding

Manuscript received July 12, 2008; revised April 4, 2009; accepted September 1, 2009. Recommended by Editorial Board member Poo Gyeon Park under the direction of Editor Jae Weon Choi. This work was supported by the Natural Science Foundation of China (60904009), Fundamental Research Funds for the Central Universities of China (N090408001), Funds for Creative Research Groups of China (60521003) and National Basic Research Program of China (2009CB320601).

Funders	Funder number
Funds for Creative Research Groups of China	60521003
National Natural Science Foundation of China	60904009
National Basic Research Program of China (973 Program)	2009CB320601
Fundamental Research Funds for the Central Universities	N090408001

ASJC Scopus Subject Areas

Control and Systems Engineering
Computer Science Applications

Keywords

Descriptor systems
Linear matrix inequality (LMI)
Parameter uncertainties
Robustness

Disciplines

Mathematics

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Cite this

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abstract = "This paper investigates the problem of robustness analysis for descriptor systems with parameter uncertainties in both the derivative and state matrices. Using a parameter dependent Lyapunov function we derive a linear matrix inequality (LMI) based sufficient condition for the admissibility of the system. Unlike the existing results, our criterion has no restriction on the rank of the derivative matrix. Further, we use the obtained method to study interval descriptor systems and multi-parameter singular perturbed systems. The proposed approaches overcome some drawbacks of the existing results. Finally, we present two numerical examples to show the effectiveness of the main results. {\textcopyright} ICROS, KIEE and Springer 2010.",

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author = "Chunyu Yang and Qingling Zhang and Fuzhen Zhang and Zheng Zhou",

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T1 - Robustness Analysis of Descriptor Systems with Parameter Uncertainties

AU - Yang, Chunyu

AU - Zhang, Qingling

AU - Zhang, Fuzhen

AU - Zhou, Zheng

PY - 2010/4/1

Y1 - 2010/4/1

N2 - This paper investigates the problem of robustness analysis for descriptor systems with parameter uncertainties in both the derivative and state matrices. Using a parameter dependent Lyapunov function we derive a linear matrix inequality (LMI) based sufficient condition for the admissibility of the system. Unlike the existing results, our criterion has no restriction on the rank of the derivative matrix. Further, we use the obtained method to study interval descriptor systems and multi-parameter singular perturbed systems. The proposed approaches overcome some drawbacks of the existing results. Finally, we present two numerical examples to show the effectiveness of the main results. © ICROS, KIEE and Springer 2010.

AB - This paper investigates the problem of robustness analysis for descriptor systems with parameter uncertainties in both the derivative and state matrices. Using a parameter dependent Lyapunov function we derive a linear matrix inequality (LMI) based sufficient condition for the admissibility of the system. Unlike the existing results, our criterion has no restriction on the rank of the derivative matrix. Further, we use the obtained method to study interval descriptor systems and multi-parameter singular perturbed systems. The proposed approaches overcome some drawbacks of the existing results. Finally, we present two numerical examples to show the effectiveness of the main results. © ICROS, KIEE and Springer 2010.

KW - Descriptor systems

KW - Linear matrix inequality (LMI)

KW - Parameter uncertainties

KW - Robustness

UR - https://nsuworks.nova.edu/math_facarticles/104

UR - https://www.scopus.com/pages/publications/77951186499

UR - https://www.scopus.com/pages/publications/77951186499#tab=citedBy

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DO - 10.1007/s12555-010-0204-x

M3 - Article

SN - 1598-6446

VL - 8

SP - 204

EP - 209

JO - International Journal of Control, Automation, and Systems

JF - International Journal of Control, Automation, and Systems

IS - 2

ER -

Robustness Analysis of Descriptor Systems with Parameter Uncertainties

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