Exact design manifold control of a class of nonlinear singularly perturbed systems
- 1 October 1987
- journal article
- Published by Institute of Electrical and Electronics Engineers (IEEE) in IEEE Transactions on Automatic Control
- Vol. 32 (10) , 933-935
- https://doi.org/10.1109/tac.1987.1104469
Abstract
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.Keywords
This publication has 6 references indexed in Scilit:
- A geometric approach to composite control of two-time-scale systemsPublished by Institute of Electrical and Electronics Engineers (IEEE) ,1986
- A corrective feedback design for nonlinear systems with fast actuatorsIEEE Transactions on Automatic Control, 1986
- Stabilization and regulation of nonlinear singularly perturbed systems--Composite controlIEEE Transactions on Automatic Control, 1985
- Integral manifolds and decomposition of singularly perturbed systemsSystems & Control Letters, 1984
- Geometric singular perturbation theory for ordinary differential equationsJournal of Differential Equations, 1979
- Properties of solutions of ordinary differential equations with small parametersCommunications on Pure and Applied Mathematics, 1971