%0 Journal Article %T Direct Transcription Approach to Dynamic Optimization Problems in Engineering %J Journal of Applied and Computational Mechanics %I Shahid Chamran University of Ahvaz %Z 2383-4536 %A Abdalla, Hassan Mohamed Abdelalim %A Casagrande, Daniele %D 2022 %\ 04/01/2022 %V 8 %N 2 %P 605-616 %! Direct Transcription Approach to Dynamic Optimization Problems in Engineering %K Direct methods %K Continuous dynamic optimization %K Orthogonal collocation method %K Nonlinear programming %R 10.22055/jacm.2021.38081.3150 %X The direct transcription method that employs global collocation at Legendre-Gauss-Radau points is addressed and applied to infinite-dimensional dynamic optimization problems in engineering. The formulation of these latter is considered referring to a Bolza-type performance index. A reduced unconstrained form of it is particularly studied in the pseudospectral domain and the continuous-to-discrete conversion is thoroughly discussed. An equivalent finite-dimension nonlinear programming problem is therefore obtained and hints on its numerical implementation are given. Eventually, a few benchmark historical problems in engineering are revisited, stated, numerically solved and compared to literature. %U https://jacm.scu.ac.ir/article_17192_dbe67256df5cf627d943a1489ac50e64.pdf