Robust stability conditions for polytopic systems

The paper provides a survey of some recent robust stability conditions, their mutual comparisons, and presents new robust stability conditions for continuous- and discrete-time systems with convex polytopic uncertainty. Robust stability analysis is based on LMI conditions and parameter-dependent Lya...

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Bibliographic Details
Published in:International journal of systems science 2005-12, Vol.36 (15), p.961-973
Main Authors: GRMAN, Lubomir, ROSINOVA, Danica, VESELY, Vojtech, KOZAKOVA, Alena
Format: Article
Language:English
Subjects:
Applied sciences
Computer science
control theory
systems
Control system synthesis
Control theory. Systems
Exact sciences and technology
LMI conditions
Lyapunov function
Robust stability
System theory
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Summary:The paper provides a survey of some recent robust stability conditions, their mutual comparisons, and presents new robust stability conditions for continuous- and discrete-time systems with convex polytopic uncertainty. Robust stability analysis is based on LMI conditions and parameter-dependent Lyapunov functions. The developed stability conditions are appropriate for output feedback design. Numerical examples thoroughly illustrate the power of the considered robust stability analysis methods and show which of them provides the less conservative results.
ISSN:0020-7721
1464-5319
DOI:10.1080/00207720500389592