A new discrete-time robust stability condition

A new robust stability condition for uncertain discrete-time systems with convex polytopic uncertainty is given. It enables to check stability using parameter-dependent Lyapunov functions which are derived from LMI conditions. It is shown that this new condition provides better results than the clas...

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Bibliographic Details
Published inSystems & control letters Vol. 37; no. 4; pp. 261 - 265
Main Authors de Oliveira, M.C., Bernussou, J., Geromel, J.C.
Format Journal Article
LanguageEnglish
Published Amsterdam Elsevier B.V 01.07.1999
Elsevier
Subjects
Applied sciences
Computer science; control theory; systems
Control system analysis
Control theory. Systems
Exact sciences and technology
Linear matrix inequalities
Parameter-dependent Lyapunov functions
Robust stability
System theory
Parameter-dependent Lyapunov functions
Robust stability
Linear matrix inequalities
Robust control
Uncertain system
Linear system
Control system
Linear matrix inequality
Discrete system
System analysis
Lyapunov function
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Summary:A new robust stability condition for uncertain discrete-time systems with convex polytopic uncertainty is given. It enables to check stability using parameter-dependent Lyapunov functions which are derived from LMI conditions. It is shown that this new condition provides better results than the classical quadratic stability. Besides the use of a parameter-dependent Lyapunov function, this condition exhibits a kind of decoupling between the Lyapunov and the system matrices which may be explored for control synthesis purposes. A numerical example illustrates the results.
ISSN:0167-6911
1872-7956
DOI:10.1016/S0167-6911(99)00035-3