Brief Wiener models of direction-dependent dynamic systems

Authors:
H. A. Barker;A. H. Tan;K. R. Godfrey
Affiliations:
Department of Electrical and Electronic Engineering, University of Wales Swansea, Singleton Park, Swansea, SA2 8PP, UK;School of Engineering, University of Warwick, Coventry CV4 7AL, UK;School of Engineering, University of Warwick, Coventry CV4 7AL, UK
Venue:
Automatica (Journal of IFAC)
Year:
2003

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Abstract

Analysis of systems with direction-dependent dynamics is currently limited to cases in which the dynamics in the two directions of the output are first order; results for such systems have been published for both pseudo-random maximum-length binary (MLB) and inverse-repeat maximum-length binary (IR-MLB) inputs. These relatively limited analytical results make it useful to examine alternative ways of modelling such systems and in this paper, Wiener models are considered for this purpose. Methods for optimising the Wiener model parameters by matching the system and model cross-correlation functions, outputs, and discrete Fourier transforms of the outputs are considered, and the results are compared. These methods are also applied to a first-order direction-dependent system with a maximum-length ternary (MLT) input, for which no analytical results are currently available, and to a second-order system with an IR-MLB input.