Title :
MIMO multi-periodic repetitive control: Stability analysis
Author :
Owens, D.H. ; Li, L.M. ; Banks, S.P.
Author_Institution :
Dept. of Autom. Control & Syst. Eng., Univ. of Sheffield, Sheffield, UK
Abstract :
In this paper a type of repetitive control problem where two or more periods exist in reference and disturbance signals is considered. A Lyapunov analysis is used to prove Lm2 (0,∞)∩Lm∞(0,∞) stability for positive real systems. A proof of exponential stability under a strictly positive real condition is provided.
Keywords :
Lyapunov methods; MIMO systems; asymptotic stability; periodic control; Lyapunov analysis; MIMO; disturbance signal; exponential stability; multiperiodic repetitive control; positive real system; stability analysis; Control systems; Control theory; Frequency control; Lyapunov methods; MIMO; Stability analysis; Exponential stability; Lyapunov stability; Multivariable Control; Repetitive Control;
Conference_Titel :
Control Conference (ECC), 2001 European
Conference_Location :
Porto
Print_ISBN :
978-3-9524173-6-2