In this paper first-order correction terms, developed by using the method of matched asymptotic expansions, are incorporated in the feedback solution of a class of singularly perturbed nonlinear optimal control problems frequently encountered in aerospace applications. This improvement is based on an explicit solution of the integrals arising from the first-order matching conditions and leads to correct the initial values of the slow costate variables inthe boundary layer. Consequently, a uniformly valid feedback control law, corrected to the first-order, can be synthesized. The new method is applied to an example of a constant speed minimum-time interception problem. Comparison of the zeroth- and first-order feedback control laws to the exact optimal solution demonstrates that first-order corrections greatly extend the domain of validity of the approximation obtained by singular perturbation methods.
First order corrections in optimal feedback control of singularly perturbed nonlinear systems
Korrekturen erster Ordnung fuer optimal geregelte nichtlineare Systeme mit singulaerer Stoerung
IEEE Transactions on Automatic Control ; 31 , 5 ; 387-393
1986
7 Seiten, 3 Bilder, 2 Tabellen, 18 Quellen
Aufsatz (Zeitschrift)
Englisch
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