By Sirish L. Shah, G. Dumont

ISBN-10: 038751869X

ISBN-13: 9780387518695

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P. Ramadge and P. Caines. (1980). DiscreLe-time multi- variable adaptive control. 449-456. E. Salgado (1988). A new approach to time-series analysis using restricted complexity model. Technical Report, University of Newcastle, NSW. M. (1963). Synthesis of feedback systems. Academic Press, New York. Ljuag, L. (1987). System identification : theory for the user. Prentice llall. C. J. Q. Mayne (1988). Design issues in adaptive control. 50-58. C. Coedwin (1989). Digital control and estimation. A unified approach.

8) B(5) = b 5m + bm. 1 5m-1 + . . 9) F(5) = fg 5 £ + fe-1 5e-1 + "'" fo 1~(5) = en+ k 5n+k + . . 10) + 5k + ek_ 1 ok- 1+ . . 11) Note that we have fixed the lowest power of the highest power. Similarly, we have fixed ek 5 in A to be to be 1. c. gain ( v e l o c i t y constant, e t c . ) f o r the system i f we overestimate the order of h, then the redundant c o e f f i c i e n t s converge to zero. (llowever, i f we normalize from the l e f t then a l l c o e f f i c i e n t s have to go to ® to accommodate the ovcrmodelling).

EVALUATIONOF BIAS I)ISTI/IBUTION For i l l u s t r a t i v e purposes, l e t us assume that the system under study is linear, s i n g l c - i n p u t , single-output and has one e x t r a mcasurement a v a i l a b l e for 34 feedforward. 1. unmeasured disturbance d input I 21 u measured disturbance z' System outputy' ; ,~ ........... 1) GO, 61, I11, 112, 113 are l i n e a r t r a n s f e r f u n c t i o n s ; modelled p a r t of the response and I11, l[2, II3 and GO, G1 describe the r e p r e s e n t the unmodelled p a r t of the response.

### Adaptive control strategies for industrial use: proceedings of a workshop held in Kananaskis, Canada, 1988 by Sirish L. Shah, G. Dumont

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