Zhu, Quan Min (1989) Identification & control of nonlinear systems. PhD thesis, University of Warwick.

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Abstract

This thesis investigates some problems on nonlinear system identification, parameter estimation, and signal processing.

Random signal spectral analysis and system frequency response estimation are studied from incomplete time series. Both recursive and direct estimators are presented based on either an unbiased or minimum mean square error criterion.

Nonlinear system identification and parameter estimation are studied. A quantisation technique is developed to give a clear geometrical interpretation for structure detection and parameter estimation. A new concept, state amplitude distance between current and previous operating states, is introduced, and results in a
Variable Weighted Least Squares (VWLS) algorithm. A modified version makes on-line application possible. Jump resonance is predicted by the VWLS algorithm as one of the applications.

Self-tuning controllers, including a nonlinear general predictive controller and a nonlinear deadbeat controller, are designed. A vector backward shift operator is defined to simplify the expression of the Hammerstein model, and is introduced to analyse the general feedback controller design problem for nonlinear plant described by the Hammerstein model. A fast root-solver developed facilitates nonlinear model treatment in on-line applications.

Theoretical results are confirmed by simulation studies.

Item Type:	Thesis (PhD)
Subjects:	Q Science > QA Mathematics
Library of Congress Subject Headings (LCSH):	Nonlinear systems, Parameter estimation, Signal processing
Official Date:	August 1989
Dates:	Date Event August 1989 Submitted
Institution:	University of Warwick
Theses Department:	School of Engineering
Thesis Type:	PhD
Publication Status:	Unpublished
Supervisor(s)/Advisor:	Douce, J. L.
Sponsors:	Overseas Research Students Awards Scheme (ORSAS)
Extent:	vi, 237 leaves
Language:	eng

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