TY - JOUR
T1 - Behaviour of the output error identification algorithm for small stepsize gains
AU - Anderson, Brian D.O.
PY - 1984/5
Y1 - 1984/5
N2 - In the output error identification algorithm, it is possible to adjust a gain parameter to trade off, for example, sensitivity to noise and capacity to track plant parameter variations. The rate of convergence of the ideal algorithm (obtained in the noise free, time-invariant plant parameter case) is related to the magnitude of this gain parameter. The analysis applies to a broader class of adaptive problems than output error identification, and in particular, a positive real transfer function appearing in the problem formulation is allowed to be nonrational. An alternative to the usual Lyapunov-based analysis is then needed.
AB - In the output error identification algorithm, it is possible to adjust a gain parameter to trade off, for example, sensitivity to noise and capacity to track plant parameter variations. The rate of convergence of the ideal algorithm (obtained in the noise free, time-invariant plant parameter case) is related to the magnitude of this gain parameter. The analysis applies to a broader class of adaptive problems than output error identification, and in particular, a positive real transfer function appearing in the problem formulation is allowed to be nonrational. An alternative to the usual Lyapunov-based analysis is then needed.
KW - Identification
KW - Output error
KW - Recursive identification
UR - http://www.scopus.com/inward/record.url?scp=50849152593&partnerID=8YFLogxK
U2 - 10.1016/S0167-6911(84)80012-2
DO - 10.1016/S0167-6911(84)80012-2
M3 - Article
AN - SCOPUS:50849152593
SN - 0167-6911
VL - 4
SP - 119
EP - 124
JO - Systems and Control Letters
JF - Systems and Control Letters
IS - 3
ER -