Title :
MIMO multi-periodic repetitive control system: adaptive control schemes
Author :
Dang, Hongwei ; Owens, David H.
Author_Institution :
Dept. of Autom. Control & Syst. Eng., Sheffield Univ., UK
Abstract :
This paper presents a simple feed forward adaptive multiperiodic repetitive control scheme for the ASPR (almost strictly positive real) or ASNR (almost strictly negative real) plant to asymptotically track/reject multiperiodic reference/disturbance signals. The Liapunov stability analysis is given and simulations are included. The extension of the Liapunov stability analysis to ASPR or ASNR plant under certain nonlinear perturbations and an exponential stability scheme are discussed as well. Finally an adaptive proportional plus multiperiodic repetitive control scheme is proposed.
Keywords :
Lyapunov methods; MIMO systems; adaptive control; asymptotic stability; feedforward; nonlinear systems; periodic control; perturbation techniques; proportional control; Liapunov stability; MIMO multiperiodic repetitive control system; adaptive control; adaptive proportional plus multiperiodic repetitive control; almost strictly negative real plant; almost strictly positive real plant; asymptotic rejection; asymptotic tracking; exponential stability; feed forward adaptive multiperiodic repetitive control; multiperiodic disturbance signals; multiperiodic reference signals; nonlinear perturbations; Adaptive control; Analytical models; Asymptotic stability; Control systems; Feeds; Frequency; Lyapunov method; MIMO; Programmable control; Stability analysis;
Conference_Titel :
Decision and Control, 2004. CDC. 43rd IEEE Conference on
Print_ISBN :
0-7803-8682-5
DOI :
10.1109/CDC.2004.1430226
