Authors:
H. Dang
and
D. H. Owens
Affiliation:
The University of Sheffield, United Kingdom
Keyword(s):
Almost Strictly Positive/Negative Real, Multi-periodic Repetitive Control, Adaptive Control, Lyapunov Analysis.
Related
Ontology
Subjects/Areas/Topics:
Adaptive Signal Processing and Control
;
Biomedical Engineering
;
Biomedical Signal Processing
;
Informatics in Control, Automation and Robotics
;
Information-Based Models for Control
;
Signal Processing, Sensors, Systems Modeling and Control
;
Time and Frequency Response
;
Time-Frequency Analysis
Abstract:
This paper presents a simple feed forward adaptive multi-periodic repetitive control scheme for the ASPR(Almost Strictly Positive Real) or ASNR(Almost Strictly Negative Real, See Appendix for definition) plant to asymptotically track/reject multi-periodic reference/disturbance signals. The lyapunov stability analysis is given. This is an extension work of the lyapunov stability analysis for multi-periodic repetitive control system under a positive real condition. A simulation is included. The extension of the lyapunov stability analysis to ASPR or ASNR plant under certain non-linear perturbations and an exponential stability scheme are discussed as well. Finally an adaptive proportional plus multi-periodic repetitive control scheme is proposed.