Identification of processes having direction-dependent responses, with gas-turbine engine applications

  • Authors:

  • K. R. Godfrey;D. J. Moore

  • Affiliations:

  • Inter-University Institute of Engineering Control, University of Warwick, Coventry, CV4 7AL, England;Advanced Projects Group, Electrical Engineering Department, Rolls-Royce (1971) Ltd., Bristol Engine Division, P.O. Box 3, Filton, Bristol, England

  • Venue:
  • Automatica (Journal of IFAC)
  • Year:
  • 1974

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Abstract

Many processes have dynamic responses which are dependent on the direction in which the process variable is moving. The effects of such nonlinear behaviour on the weighting function model of a process obtained by cross-correlation and on the difference equation model obtained by a generalised least-squares procedure are determined theoretically for a process with first-order dynamics perturbed with pseudo-random binary signals. The theory is confirmed by results from a hybrid computer simulation, and computer-simulated results for processes with second-order dynamics are also presented. The theory is used to explain discontinuities in weighting-function models of a gas-turbine engine in which the input-transducer had direction-dependent dynamic responses. Experimental work on a pilot-scale process is reported, and further examples from the literature are examined.