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A less conservative LMI condition for the robust stability of discrete-time uncertain systems

✍ Scribed by Domingos C.W. Ramos; Pedro L.D. Peres

Publisher: Elsevier Science
Year: 2001
Tongue: English
Weight: 155 KB
Volume: 43
Category: Article
ISSN: 0167-6911
DOI: 10.1016/s0167-6911(01)00120-7

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✦ Synopsis

In this paper, a less conservative condition for the robust stability of uncertain discrete-time linear systems is proposed. The uncertain parameters, assumed to be time-invariant, are supposed to belong to convex bounded domains (polytope type uncertainty). The stability condition is formulated in terms of a set of linear matrix inequalities involving only the vertices of the polytope domain. A simple and numerically e cient feasibility test provides a set of Lyapunov matrices whose convex combination can be used to assess the stability of any dynamic matrix inside the uncertainty domain. Examples illustrate the results.

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