Robust stabilization of descriptor linear systems via proportional-plus-derivative state feedback

G. R. Duan; G. W. Irwin; G. P. Liu

Robust stabilization of descriptor linear systems via proportional-plus-derivative state feedback

G. R. Duan^*
, G. W. Irwin
, G. P. Liu

^*Corresponding author for this work

Queen's University Belfast

Research output: Contribution to journal › Conference article › peer-review

18 Scopus citations

Abstract

A sufficient condition, in terms of quadratic stability of matrices, for the class of regular descriptor linear systems which possess no infinite relative eigenvalues is presented. Utilizing this result, the problem of stabilization of descriptor linear system via proportional-plus-derivative state feedback control is converted into two related quadratically stabilization problems, which can be easily solved using linear matrix inequalities (LMI) techniques. Based on the same idea, robust stabilization via proportional-plus-derivative state feedback for uncertain descriptor linear systems, with coefficient matrices belonging to some compact sets in proper matrix spaces, has also been dealt with.

Original language	English
Pages (from-to)	1304-1308
Number of pages	5
Journal	Proceedings of the American Control Conference
Volume	2
State	Published - 1999
Externally published	Yes
Event	Proceedings of the 1999 American Control Conference (99ACC) - San Diego, CA, USA Duration: 2 Jun 1999 → 4 Jun 1999

Cite this

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title = "Robust stabilization of descriptor linear systems via proportional-plus-derivative state feedback",

abstract = "A sufficient condition, in terms of quadratic stability of matrices, for the class of regular descriptor linear systems which possess no infinite relative eigenvalues is presented. Utilizing this result, the problem of stabilization of descriptor linear system via proportional-plus-derivative state feedback control is converted into two related quadratically stabilization problems, which can be easily solved using linear matrix inequalities (LMI) techniques. Based on the same idea, robust stabilization via proportional-plus-derivative state feedback for uncertain descriptor linear systems, with coefficient matrices belonging to some compact sets in proper matrix spaces, has also been dealt with.",

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year = "1999",

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journal = "Proceedings of the American Control Conference",

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note = "Proceedings of the 1999 American Control Conference (99ACC) ; Conference date: 02-06-1999 Through 04-06-1999",

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AU - Duan, G. R.

AU - Irwin, G. W.

AU - Liu, G. P.

PY - 1999

Y1 - 1999

N2 - A sufficient condition, in terms of quadratic stability of matrices, for the class of regular descriptor linear systems which possess no infinite relative eigenvalues is presented. Utilizing this result, the problem of stabilization of descriptor linear system via proportional-plus-derivative state feedback control is converted into two related quadratically stabilization problems, which can be easily solved using linear matrix inequalities (LMI) techniques. Based on the same idea, robust stabilization via proportional-plus-derivative state feedback for uncertain descriptor linear systems, with coefficient matrices belonging to some compact sets in proper matrix spaces, has also been dealt with.

AB - A sufficient condition, in terms of quadratic stability of matrices, for the class of regular descriptor linear systems which possess no infinite relative eigenvalues is presented. Utilizing this result, the problem of stabilization of descriptor linear system via proportional-plus-derivative state feedback control is converted into two related quadratically stabilization problems, which can be easily solved using linear matrix inequalities (LMI) techniques. Based on the same idea, robust stabilization via proportional-plus-derivative state feedback for uncertain descriptor linear systems, with coefficient matrices belonging to some compact sets in proper matrix spaces, has also been dealt with.

UR - https://www.scopus.com/pages/publications/0033284226

M3 - 会议文章

AN - SCOPUS:0033284226

SN - 0743-1619

VL - 2

SP - 1304

EP - 1308

JO - Proceedings of the American Control Conference

JF - Proceedings of the American Control Conference

T2 - Proceedings of the 1999 American Control Conference (99ACC)

Y2 - 2 June 1999 through 4 June 1999

ER -

Robust stabilization of descriptor linear systems via proportional-plus-derivative state feedback

Abstract

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