تقرير
A Successive Gap Constraint Linearization Method for Optimal Control Problems with Equilibrium Constraints
| العنوان: | A Successive Gap Constraint Linearization Method for Optimal Control Problems with Equilibrium Constraints |
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| المؤلفون: | Lin, Kangyu, Ohtsuka, Toshiyuki |
| سنة النشر: | 2024 |
| المجموعة: | Computer Science Mathematics |
| مصطلحات موضوعية: | Mathematics - Optimization and Control, Electrical Engineering and Systems Science - Systems and Control |
| الوصف: | In this study, we propose a novel gap-constraint-based reformulation for optimal control problems with equilibrium constraints (OCPECs). We show that the proposed reformulation generates a new constraint system equivalent to the original one but more concise and with favorable differentiability. Moreover, constraint regularity can be recovered by a relaxation strategy. We show that the gap constraint and its gradient can be evaluated efficiently. We then propose a successive gap constraint linearization method to solve the discretized OCPEC. We also provide an intuitive geometric interpretation of the gap constraint. Numerical experiments validate the effectiveness of the proposed reformulation and solution method. Comment: Forthcoming, (Accepted to the 2024 IFAC Conference on Nonlinear Model Predictive Control (NMPC)) |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2406.03270 |
| رقم الأكسشن: | edsarx.2406.03270 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |