Weedon, Timothy Michael William (1970) The partial correlation function in the identification of non-linear systems and an eye position transducer. PhD thesis, University of Warwick.

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Abstract

Section 1.

A correlation technique is developed which enables the identification of systems belonging to a restricted class of non- linear systems. The method is applicable to a system which may be represented as a single-valued, instantaneous, time-invariant non-linearity followed by linear dynamics. The characteristic of the non-linearity and the impulse response of the linear element are found simultaneously in a single experiment.

A class of pseudo-random test signals is studied, and results are derived for some situations in which the results are contaminated by noise.

Further work is required to extend the applicability of the ·technique, to compare its performance with other methods of identification, and to investigate alternative test signals.

Section 2.

A simple eye-position transducer is described, which measures eyeball rotation about two axes.· Depending upon the characteristics of the subject's eye, and the operating conditions, an accuracy of as good as + 5% may be obtained over a range of 12º.

The user wears a light-weight infra-red optical-electronic device on a spectacle frame. The transducer exploits the variation in infra-red reflectivity over the surface of the eyeball, and therefore varies in its performance from one subject to another. It may be used by some subjects in all lighting conditions except direct sunlight.

Further work is needed to eliminatethe deficiencies of the device, but an investigation into television techniques, which are now feasible, should be made first.

Section 3.

The experimental determination of the region of asymptotic stability of a second order time invariant system may be considerably simplified by taking advantage of the nature of the trajectories wwhich form the boundary of the region. These trajectories are found easily by reverse time simulation.

Further work is possible to investigate the extension of the method to higher order systems, but useful results seem unlikely.

Item Type:	Thesis (PhD)
Alternative Title:	Eye position transducer
Subjects:	Q Science > Q Science (General)
Library of Congress Subject Headings (LCSH):	Chaotic behavior in systems, Nonlinear mechanics, Optical transducers, Electronic instruments
Official Date:	1970
Dates:	Date Event 1970 Submitted
Institution:	University of Warwick
Theses Department:	School of Engineering
Thesis Type:	PhD
Publication Status:	Unpublished
Supervisor(s)/Advisor:	Douce, J.L.
Sponsors:	Science Research Council (Great Britain)
Extent:	102 leaves
Language:	eng

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