TY - JOUR
T1 - On bilinear estimation and control
AU - Svoronos, S.
AU - Stephanopoulos, G.
AU - Aris, R.
N1 - Funding Information:
The authors gratefully acknowledge the financial support of NSF (grant CPE 80-07526). They also thank the University of Minnesota Computer Center for a gift of computer time.
PY - 1981/10
Y1 - 1981/10
N2 - Discrete single-input single-output bilinear systems with constant parameters are considered. First, tho minimum variance regulator for known paramoters is determined. Then the least squares parameter estimation method is applied and is seen to have certain desirable properties. Finally, the least squares parameter estimator is combined with the minimum variance regulator for the estimated model to produce a bilinear self-tuning regulator (BLSTR). It is found that though the estimation ma.y be biased, under certain assumptions, the BLSTR will converge to the minimwn variance control law.
AB - Discrete single-input single-output bilinear systems with constant parameters are considered. First, tho minimum variance regulator for known paramoters is determined. Then the least squares parameter estimation method is applied and is seen to have certain desirable properties. Finally, the least squares parameter estimator is combined with the minimum variance regulator for the estimated model to produce a bilinear self-tuning regulator (BLSTR). It is found that though the estimation ma.y be biased, under certain assumptions, the BLSTR will converge to the minimwn variance control law.
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U2 - 10.1080/00207178108922554
DO - 10.1080/00207178108922554
M3 - Article
AN - SCOPUS:0019622278
SN - 0020-7179
VL - 34
SP - 651
EP - 684
JO - International Journal of Control
JF - International Journal of Control
IS - 4
ER -