Composite control of non-linear singularly perturbed systems: a geometric approach
- 1 December 1988
- journal article
- research article
- Published by Taylor & Francis in International Journal of Control
- Vol. 48 (6) , 2491-2506
- https://doi.org/10.1080/00207178808906343
Abstract
Using 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.Keywords
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