Qualitative Analysis of Chaos in Nonlinear Sampled Data Systems and System Identification
Haynes, B.R. and Billings, S.A.
(1991)
Qualitative Analysis of Chaos in Nonlinear Sampled Data Systems and System Identification.
Research Report.
Acse Report 434
.
Dept of Automatic Control and System Engineering. University of Sheffield
Abstract
The analysis of nonlinear sampled data systems is considered. A qualitative approach is adopted in which the system is suspended in a parameterised cell state space framework. Application of a global unravelling algorithm reveals the type of behaviour typically found using dynamical systems techniques. Steady state, periodic and aperiodic or chaotic behaviour is detected. System identification techniques are then applied. The resulting nonlinear recursive input output model is also analysed within the above framework and shown to exhibit the self same periodic characteristic as the original nonlinear sampled data system.
Metadata
Item Type:
Monograph
Authors/Creators:
Haynes, B.R.
Billings, S.A.
Copyright, Publisher and Additional Information:
The Department of Automatic Control and Systems Engineering research reports offer a forum for the research output of the academic staff and research students of the Department at the University of Sheffield. Papers are reviewed for quality and presentation by a departmental editor. However, the contents and opinions expressed remain the responsibility of the authors. Some papers in the series may have been subsequently published elsewhere and you are advised to cite the later published version in these instances.
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