Frequency-Domain Theory and Optimisation for Nonlinear System
Ridalls, C., Banks, S.P. and McCaffrey, D.
(1998)
Frequency-Domain Theory and Optimisation for Nonlinear System.
Research Report.
ACSE Research Report 696
.
Department of Automatic Control and Systems Engineering
Abstract
The frequency-domain theory of linear systems, including the root locus is generalised to nonlinear analytic systems. The spectrum turns out to be a subbundle of a fibre bundle attached to the state-space of the system. We shall approach the problem via the Lie seriesand on the way show how to apply local Lie series solutions to generate a Lyapunov function for a nonlinear stable system. Moreover, a numerical method for computing the spectrum of a nonlinear system will be given and a number of examples will illustrate the method.
Metadata
Item Type:
Monograph
Authors/Creators:
Ridalls, C.
Banks, S.P.
McCaffrey, D.
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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