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

Sharkey, 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 doi: 10.1109/TAC.1987.1104469

Abstract/Summary

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.