Icase Discrete Approximation Methods for Parameter Identification in Delay Systems

W e c o n s t r u c t approximation schemes f o r parameter i d e n t i f i c a t i o n problems i n which t h e governing state equation i s a l i n e a r f u n c t i o n a l d i f f e r e n t i a l e q u a t i o n of r e t a r d e d type. The b a s i s of t h e schemes i s t h e replacement of t h e parameter i d e n t i f i c a t i o n problem having a n i n f i n i t e dimensional s t a t e equation by a sequence of approximating parameter i d e n t i f i c a t i o n problems i n which t h e s t a t e s are given by f i n i t e dimensional approximations t o t h e e x p o n e n t i a l are c o n s t r u c t e d and shown t o s a t i s f y t h e s u f f i c i e n t c o n d i t i o n s f o r convergence. r e s u l t s obtained through t h e a p p l i c a t i o n of t h e schemes t o several examples is included. C o n t r a c t ARO-DAAG29-79-C-0161. Additional r e s e a r c h w a s c a r r i e d o u t w h i l e t h e a u t h o r w a s i n residence a t t h e I n s t i t u t e f o r Computer A p p l i c a t i o n s i n Science and Engineering, The purpose of this paper is the investigation of approximation methods for the identification of parameters in control systems where the state equation is a …