New robust stability and stabilizability conditions for linear parameter time varying polytopic systems

Uncertain Linear Parameter Varying (LPV) systems have a long history of interest in the control community. Those where uncertainties depend on time are more and more treated, for either analysis or design problems. The main issue for large part of them is how to represent the derivative of the time...

Full description

Saved in:
Bibliographic Details
Published in2009 3rd International Conference on Signals, Circuits and Systems (SCS) pp. 1 - 6
Main Authors Aouani, N., Salhi, S., Garcia, G., Ksouri, M.
Format Conference Proceeding
LanguageEnglish
Published IEEE 01.11.2009
Subjects
Circuits and systems
Control system analysis
Control system synthesis
Control systems
LPV systems
polytopic uncertainty
Robust control
Robust stability
State feedback
static state feedback
Sufficient conditions
synthesis
Time varying systems
Uncertainty
Online AccessGet full text

Cover

More Information
Summary:Uncertain Linear Parameter Varying (LPV) systems have a long history of interest in the control community. Those where uncertainties depend on time are more and more treated, for either analysis or design problems. The main issue for large part of them is how to represent the derivative of the time varying parameter. We give in this sense a novel representation of the time derivative of the parameter expressed itself under a polytopic structure. Based on that representation, new sufficient conditions for stability and stabilizability are derived, formulated in terms of LMIs parameterized through a real parameter a . A state feedback synthesis is investigated. The influence of the parameter a is highlighted by a numerical example. Its impact on the stabilizability's regions delimited by the plane is illustrated by a diagram at the end of the article.
ISBN:1424443970
9781424443970
DOI:10.1109/ICSCS.2009.5412528