Bayesian system identification

  • Authors:
  • V. Peterka

  • Affiliations:
  • Czechoslovak Academy of Sciences, Institute of Information Theory and Automation, Prague 8, Pod vodárenskou vzi 4, Czechoslovakia

  • Venue:
  • Automatica (Journal of IFAC)
  • Year:
  • 1981

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Abstract

In Bayesian statistics the concept of probability is interpreted as a rational measure of belief which is used to describe mathematically the uncertain relation between the statistician and the external world. The statistical inference is understood as a correction of prior subjective probability distribution by objective data. The paper shows that on this Bayesian basis it is possible to build a consistent theory of system identification. The following problems are considered: one-shot and real-time identification, estimation and prediction in closed control loop, redundant and unidentifiable parameters, time-varying parameters and adaptivity.