Optimal control of nonlinear differential algebraic equation systemsRoberts, P. D. and Becerra, V. M. (2000) Optimal control of nonlinear differential algebraic equation systems. In: IEEE Conference on Decision and Control, 12-15 Dec 2000, Sydney, Australia, pp. 754-759. Full text not archived in this repository. It is advisable to refer to the publisher's version if you intend to cite from this work. See Guidance on citing. Official URL: http://dx.doi.org/10.1109/CDC.2000.912859 Abstract/SummaryA 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.
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