تقرير
Mesh Refinement with Early Termination for Dynamic Feasibility Problems
| العنوان: | Mesh Refinement with Early Termination for Dynamic Feasibility Problems |
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| المؤلفون: | Vila, Eduardo M. G., Kerrigan, Eric C., Bruce, Paul |
| المصدر: | IFAC-PapersOnLine Volume 56, Issue 2, 2023, Pages 10576-10581 |
| سنة النشر: | 2024 |
| المجموعة: | Computer Science Mathematics |
| مصطلحات موضوعية: | Mathematics - Optimization and Control, Electrical Engineering and Systems Science - Systems and Control |
| الوصف: | We propose a novel early-terminating mesh refinement strategy using an integrated residual method to solve dynamic feasibility problems. As a generalization of direct collocation, the integrated residual method is used to approximate an infinite-dimensional problem into a sequence of finite-dimensional optimization subproblems. Each subproblem in the sequence is a finer approximation of the previous. It is shown that these subproblems need not be solved to a high precision; instead, an early termination procedure can determine when mesh refinement should be performed. The new refinement strategy, applied to an inverted pendulum swing-up problem, outperforms a conventional refinement method by up to a factor of three in function evaluations. |
| نوع الوثيقة: | Working Paper |
| DOI: | 10.1016/j.ifacol.2023.10.676 |
| URL الوصول: | http://arxiv.org/abs/2403.07811 |
| رقم الأكسشن: | edsarx.2403.07811 |
| قاعدة البيانات: | arXiv |
| DOI: | 10.1016/j.ifacol.2023.10.676 |
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