Issues in the direct transcription of optimal control problems to sparse nonlinear programs

作者: John T. Betts

DOI: 10.1007/978-3-0348-8497-6_1

关键词: Mathematical optimizationTranscription (software)Linear algebraNonlinear programmingAlgorithmic efficiencyHessian matrixOptimal controlNonlinear systemAlgorithmMathematicsDiscretization

摘要: Direct transcription of an optimal control problem into a sparse nonlinear programming requires analysis the interaction between discretization, sparsity, and algorithm efficiency. The relative merits various discretization techniques with regard to accuracy solution efficiency linear algebra program will be presented. Construction gradient Hessian information for described. Issues affecting strategy discussed.

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