DocumentCode
630506
Title
Controller synthesis for piecewise-affine time-delay slab systems based on invariant sets: An LMI approach
Author
Kaynama, Shahab ; Moarref, Miad ; Rodrigues, Luis
Author_Institution
Dept. of Electr. & Comput. Eng., Concordia Univ., Montreal, QC, Canada
fYear
2013
fDate
17-19 June 2013
Firstpage
37
Lastpage
42
Abstract
This paper presents a controller synthesis method to stabilize piecewise-affine (PWA) time-delay slab systems. Based on invariant set ideas and using Lyapunov-Krasovskii functionals sufficient conditions for exponential stability will be proposed. The resulting conditions are cast as a set of Linear Matrix Inequalities (LMIs) which can be efficiently solved. A numerical example demonstrates the effectiveness of the approach.
Keywords
Lyapunov methods; asymptotic stability; control system synthesis; delays; linear matrix inequalities; LMI approach; Lyapunov-Krasovskii functional; PWA time-delay slab systems; controller synthesis method; exponential stability; invariant sets; linear matrix inequalities; piecewise-affine time-delay slab system stabilization; Control theory; Linear matrix inequalities; Lyapunov methods; Slabs; Stability analysis; State feedback;
fLanguage
English
Publisher
ieee
Conference_Titel
American Control Conference (ACC), 2013
Conference_Location
Washington, DC
ISSN
0743-1619
Print_ISBN
978-1-4799-0177-7
Type
conf
DOI
10.1109/ACC.2013.6579810
Filename
6579810
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