Self-tuning prediction and control for two-dimensional processes part 1: fixed parameter algorithms

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  • W.P. Heath
    University of Manchester
  • P.E. Wellstead
    University of Manchester
Least-squares optimal prediction, minimum variance control and generalized minimum variance control algorithms for a two-dimensional CARMA process are developed. Each algorithm involves the algebraic solution of a two-dimensional diophantine equation, and may be embedded within ‘classical’ two-dimensional systems theory. We show how the algorithms must be modified for any practical implementation to take into account the edges of the data field. In this case we show how we may analyse the process using multivariable theory, and explore the linkages between multivariable representations and two-dimensional systems.
Original languageUnknown
Pages (from-to)65-107
Number of pages43
JournalInternational Journal of Control
Volume62
Issue number1
DOIs
Publication statusPublished - Jan 1995
Externally publishedYes
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