On bilinear estimation and control

S. Svoronos, G. Stephanopoulos, R. Aris

Research output: Contribution to journalArticlepeer-review

37 Scopus citations


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.

Original languageEnglish (US)
Pages (from-to)651-684
Number of pages34
JournalInternational Journal of Control
Issue number4
StatePublished - Oct 1981
Externally publishedYes

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Computer Science Applications


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