تقرير
Optimal Stabilization of Periodic Orbits
| العنوان: | Optimal Stabilization of Periodic Orbits |
|---|---|
| المؤلفون: | Beck, Fabian, Sakamoto, Noboru |
| سنة النشر: | 2022 |
| المجموعة: | Mathematics |
| مصطلحات موضوعية: | Mathematics - Optimization and Control |
| الوصف: | In this contribution the optimal stabilization problem of periodic orbits is studied in a symplectic geometry setting. For this, the stable manifold theory for the point stabilization case is generalized to the case of periodic orbit stabilization. Sufficient conditions for the existence of a \gls{nhim} of the Hamiltonian system are derived. It is shown that the optimal control problem has a solution if the related periodic Riccati equation has a unique periodic solution. For the analysis of the stable and unstable manifold a coordinate transformation is used which is moving along the orbit. As an example, an optimal control problem is considered for a spring mass oscillator system, which should be stabilized at a certain energy level. Comment: Submitted for IFAC World Congress 2023 |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2211.11955 |
| رقم الأكسشن: | edsarx.2211.11955 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |