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.


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    Title :

    First order corrections in optimal feedback control of singularly perturbed nonlinear systems


    Additional title:

    Korrekturen erster Ordnung fuer optimal geregelte nichtlineare Systeme mit singulaerer Stoerung


    Contributors:
    Visser, H.G. (author) / Shinar, J. (author)

    Published in:

    Publication date :

    1986


    Size :

    7 Seiten, 3 Bilder, 2 Tabellen, 18 Quellen



    Type of media :

    Article (Journal)


    Type of material :

    Print


    Language :

    English




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