Journal of Applied and Computational Mechanics
Direct Transcription Approach to Dynamic Optimization Problems in Engineering
Document Type : Research Paper
Authors
Polytechnic Department of Engineering and Architecture, University of Udine, Via delle Scienze 206, Udine, 33100 UD, Italy
Abstract
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.
Keywords
Main Subjects
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