Composite control of non-linear singularly perturbed systems: a geometric approach

Sharkey, 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 doi: 10.1080/00207178808906343

Abstract/Summary

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.