Exact design manifold control of a class of nonlinear singularly perturbed systemsSharkey, P. and O'Reilly, J. (1987) Exact design manifold control of a class of nonlinear singularly perturbed systems. IEEE Transactions on Automatic Control, 32 (10). pp. 933-935. ISSN 0018-9286 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: 10.1109/TAC.1987.1104469 Abstract/SummaryThe integral manifold approach captures from a geometric point of view the intrinsic two-time-scale behavior of singularly perturbed systems. An important class of nonlinear singularly perturbed systems considered in this note are fast actuator-type systems. For a class of fast actuator-type systems, which includes many physical systems, an explicit corrected composite control, the sum of a slow control and a fast control, is derived. This corrected control will steer the system exactly to a required design manifold.
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