Composite control of non-linear singularly perturbed systems: a geometric approachSharkey, P. and O'Reilly, J. (1988) Composite control of non-linear singularly perturbed systems: a geometric approach. International Journal of Control, 48 (6). pp. 2491-2506. ISSN 0020-7179 Full text not archived in this repository. It is advisable to refer to the publisher's version if you intend to cite from this work. See Guidance on citing. To link to this item DOI: 10.1080/00207178808906343 Abstract/SummaryUsing a geometric approach, a composite control—the sum of a slow control and a fast control—is derived for a general class of non-linear singularly perturbed systems. A new and simpler method of composite control design is proposed whereby the fast control is completely designed at the outset. The slow control is then free to be chosen such that the slow integral manifold of the original system approximates a desired design manifold to within any specified order of ε accuracy.
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