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Exact design manifold control of a class of nonlinear singularly perturbed systems

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2 Author(s)
Sharkey, P.M. ; University of Strathclyde, Glasgow, Scotland ; O'Reilly, J.

The 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.

Published in:

Automatic Control, IEEE Transactions on  (Volume:32 ,  Issue: 10 )

Date of Publication:

Oct 1987

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