Equivalent Lyapunov and frequency domain stability conditions for iterative learning control systems

Author

Judd, Robert P. ; Van Til, Robert P. ; Hideg, Lazslo M.

Author_Institution

Dept. of Electr. & Comput. Eng., Ohio Univ., Athens, OH, USA

fYear

1993

fDate

25-27 Aug 1993

Firstpage

487

Lastpage

492

Abstract

A system which repeatedly tracks a specified trajectory is considered. The error between a specified trajectory and the actual trajectory of system from the previous trial is used by an iterative learning control law in order to reduce this error on the current trial. Sufficient conditions which were developed by the authors for iterative learning system stability using Lyapunov stability theory are referenced. Necessary and sufficient conditions for iterative learning system stability using frequency domain analysis developed by the authors are also referenced. It is shown the these time and frequency domain stability conditions are equivalent

Keywords

Lyapunov methods; frequency-domain analysis; intelligent control; iterative methods; learning systems; stability; tracking; Lyapunov stability; frequency domain analysis; intelligent control; iterative learning control systems; necessary condition; sufficient conditions; trajectory tracking; Control systems; Error correction; Frequency domain analysis; Learning systems; Stability; Sufficient conditions; Systems engineering and theory; Tellurium; Tin; Trajectory;

fLanguage

English

Publisher

ieee

Conference_Titel

Intelligent Control, 1993., Proceedings of the 1993 IEEE International Symposium on

Conference_Location

Chicago, IL

ISSN

2158-9860

Print_ISBN

0-7803-1206-6

Type

conf

DOI

10.1109/ISIC.1993.397665

Filename

397665