Optimal control of nonlinear differential algebraic equation systems

P. D. Roberts, V. M. Becerra

    Research output: Chapter in Book/Report/Conference proceedingConference contribution

    Abstract

    A novel iterative procedure is described for solving nonlinear optimal control problems subject to differential algebraic equations. The procedure iterates on an integrated modified linear quadratic model based problem with parameter updating in such a manner that the correct solution of the original non-linear problem is achieved. The resulting algorithm has a particular advantage in that the solution is achieved without the need to solve the differential algebraic equations . Convergence aspects are discussed and a simulation example is described which illustrates the performance of the technique. 1. Introduction When modelling industrial processes often the resulting equations consist of coupled differential and algebraic equations (DAEs). In many situations these equations are nonlinear and cannot readily be directly reduced to ordinary differential equations.
    Original languageEnglish
    Title of host publicationProceedings of the 39th IEEE Conference on Decision and Control, 2000
    Place of PublicationPiscataway
    PublisherIEEE
    Pages754-759
    Volume1
    ISBN (Print)0780366387
    DOIs
    Publication statusPublished - 2000

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