Robust controllability and robust closed-loop stability with static output feedback for a class of uncertain descriptor systems

Chong Lin; Jian Liang Wang; Guang Hong Yang; C. B. Soh

doi:10.1016/S0024-3795(99)00150-0

Robust controllability and robust closed-loop stability with static output feedback for a class of uncertain descriptor systems

Chong Lin
, Jian Liang Wang
, Guang Hong Yang
, C. B. Soh

Research output: Journal Publication › Article › peer-review

10 Citations (Scopus)

Abstract

This paper considers robust controllability for uncertain linear descriptor systems with structured perturbations. Necessary and sufficient conditions based on the μ-analysis are obtained by transforming the problem into checking the nonsingularity of a class of uncertain matrices. Also a tight bound is obtained in terms of μ for keeping the closed-loop system regular, impulse-free and stable under a preconstructed static output feedback. An example is given to illustrate the results.

Original language	English
Pages (from-to)	133-155
Number of pages	23
Journal	Linear Algebra and Its Applications
Volume	297
Issue number	1-3
DOIs	https://doi.org/10.1016/S0024-3795(99)00150-0
Publication status	Published - 1 Aug 1999
Externally published	Yes

Free Keywords

Controllability
Descriptor systems
Impulse behavior
Stability
Structured perturbations

ASJC Scopus subject areas

Algebra and Number Theory
Numerical Analysis
Geometry and Topology
Discrete Mathematics and Combinatorics

Access to Document

10.1016/S0024-3795(99)00150-0

Cite this

@article{1d1a30cfcc324326aa776e9a06bc7545,

title = "Robust controllability and robust closed-loop stability with static output feedback for a class of uncertain descriptor systems",

abstract = "This paper considers robust controllability for uncertain linear descriptor systems with structured perturbations. Necessary and sufficient conditions based on the μ-analysis are obtained by transforming the problem into checking the nonsingularity of a class of uncertain matrices. Also a tight bound is obtained in terms of μ for keeping the closed-loop system regular, impulse-free and stable under a preconstructed static output feedback. An example is given to illustrate the results.",

keywords = "Controllability, Descriptor systems, Impulse behavior, Stability, Structured perturbations",

author = "Chong Lin and Wang, \{Jian Liang\} and Yang, \{Guang Hong\} and Soh, \{C. B.\}",

year = "1999",

month = aug,

day = "1",

doi = "10.1016/S0024-3795(99)00150-0",

language = "English",

volume = "297",

pages = "133--155",

journal = "Linear Algebra and Its Applications",

issn = "0024-3795",

publisher = "Elsevier Inc.",

number = "1-3",

}

TY - JOUR

T1 - Robust controllability and robust closed-loop stability with static output feedback for a class of uncertain descriptor systems

AU - Lin, Chong

AU - Wang, Jian Liang

AU - Yang, Guang Hong

AU - Soh, C. B.

PY - 1999/8/1

Y1 - 1999/8/1

N2 - This paper considers robust controllability for uncertain linear descriptor systems with structured perturbations. Necessary and sufficient conditions based on the μ-analysis are obtained by transforming the problem into checking the nonsingularity of a class of uncertain matrices. Also a tight bound is obtained in terms of μ for keeping the closed-loop system regular, impulse-free and stable under a preconstructed static output feedback. An example is given to illustrate the results.

AB - This paper considers robust controllability for uncertain linear descriptor systems with structured perturbations. Necessary and sufficient conditions based on the μ-analysis are obtained by transforming the problem into checking the nonsingularity of a class of uncertain matrices. Also a tight bound is obtained in terms of μ for keeping the closed-loop system regular, impulse-free and stable under a preconstructed static output feedback. An example is given to illustrate the results.

KW - Controllability

KW - Descriptor systems

KW - Impulse behavior

KW - Stability

KW - Structured perturbations

UR - https://www.scopus.com/pages/publications/0042096440

U2 - 10.1016/S0024-3795(99)00150-0

DO - 10.1016/S0024-3795(99)00150-0

M3 - Article

AN - SCOPUS:0042096440

SN - 0024-3795

VL - 297

SP - 133

EP - 155

JO - Linear Algebra and Its Applications

JF - Linear Algebra and Its Applications

IS - 1-3

ER -

Robust controllability and robust closed-loop stability with static output feedback for a class of uncertain descriptor systems

Abstract

Free Keywords

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this