A new LMI condition for robust stability of discrete-time uncertain systems
In this paper, a new robust stability condition is derived for uncertain discrete-time linear systems with convex polytopic uncertainties. The condition is expressed in terms of a set of linear matrix inequalities (LMIs) involving only the vertices of the polytope domain. It enables us to determine...
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Published in | Systems & control letters Vol. 54; no. 12; pp. 1195 - 1203 |
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Main Authors | , , , , , |
Format | Journal Article |
Language | English |
Published |
Amsterdam
Elsevier B.V
01.12.2005
Elsevier |
Subjects | |
Online Access | Get full text |
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Summary: | In this paper, a new robust stability condition is derived for uncertain discrete-time linear systems with convex polytopic uncertainties. The condition is expressed in terms of a set of linear matrix inequalities (LMIs) involving only the vertices of the polytope domain. It enables us to determine robust stability of uncertain systems easily by solving some LMIs. A rigorous proof is given to show that an interesting result appeared recently is a special case of the proposed condition. Numerical examples also demonstrate the merit of the present condition in the aspect of conservativeness over other results in the literature. |
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ISSN: | 0167-6911 1872-7956 |
DOI: | 10.1016/j.sysconle.2005.04.007 |