Abstract
We consider a class of singularly perturbed optimal control problems which may not be approximated by the reduced problems constructed via the formal replacement of the fast variables by the states of equilibrium of the “fast" subsystem considered with “frozen" slow variables and controls. We construct a reduced optimal control problem which provides a true approximation for the problems under consideration and write down necessary and sufficient optimality conditions for this reduced problem.
Original language | English |
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Pages (from-to) | 721-724 |
Number of pages | 4 |
Journal | IEEE Transactions on Automatic Control |
Volume | 40 |
Issue number | 4 |
DOIs | |
Publication status | Published - 1995 |
Externally published | Yes |