DocumentCode :
3439637
Title :
Robust stability of time-delay systems with structured uncertainties: A μ-analysis based algorithm
Author :
Lescher, Fabien ; Roos, Clément
Author_Institution :
Dept. of ONERA, French Aerosp. Lab., Toulouse, France
fYear :
2011
fDate :
12-15 Dec. 2011
Firstpage :
4955
Lastpage :
4960
Abstract :
This paper considers robust stability of uncertain time-delay systems affected by structured uncertainties and multiple constant delays. The objective is to compute the maximum value τ̅ the delays can reach without destabilizing the system over the uncertainty domain. A suitable modeling of the phase variations induced by the delays along the frequency range first allows to obtain an equivalent μ-analysis problem, where the bounds on some uncertain parameters depend on frequency. An algorithm is then proposed to solve this specific problem and to compute upper and lower bounds on τ̅. It is finally shown that the gap between both bounds can be reduced to any positive value in case of purely real uncertainties. The computational efficiency of the method and its ability to analyze large-scale systems are demonstrated on a numerical example, which aims at computing the MIMO time-delay margin of a high-fidelity parameter-dependent flexible aircraft model.
Keywords :
computational complexity; delays; large-scale systems; numerical analysis; stability; uncertain systems; μ-analysis based algorithm; MIMO margin; computational efficiency; frequency range; high-fidelity parameter-dependent flexible aircraft model; large-scale systems; multiple constant delays; phase variations; robust stability; structured uncertainties; uncertain time-delay systems; Computational modeling; Delay; Robust stability; Time frequency analysis; Uncertainty; Upper bound;
fLanguage :
English
Publisher :
ieee
Conference_Titel :
Decision and Control and European Control Conference (CDC-ECC), 2011 50th IEEE Conference on
Conference_Location :
Orlando, FL
ISSN :
0743-1546
Print_ISBN :
978-1-61284-800-6
Electronic_ISBN :
0743-1546
Type :
conf
DOI :
10.1109/CDC.2011.6161129
Filename :
6161129
Link To Document :
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