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
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;
Conference_Titel :
American Control Conference (ACC), 2013
Conference_Location :
Washington, DC
Print_ISBN :
978-1-4799-0177-7
DOI :
10.1109/ACC.2013.6579810
