Stability-informed Bayesian Optimization for MPC Cost Function Learning

التفاصيل البيبلوغرافية
العنوان: Stability-informed Bayesian Optimization for MPC Cost Function Learning
المؤلفون: Hirt, Sebastian, Pfefferkorn, Maik, Mesbah, Ali, Findeisen, Rolf
سنة النشر: 2024
المجموعة: Computer Science
مصطلحات موضوعية: Electrical Engineering and Systems Science - Systems and Control, Computer Science - Machine Learning
الوصف: Designing predictive controllers towards optimal closed-loop performance while maintaining safety and stability is challenging. This work explores closed-loop learning for predictive control parameters under imperfect information while considering closed-loop stability. We employ constrained Bayesian optimization to learn a model predictive controller's (MPC) cost function parametrized as a feedforward neural network, optimizing closed-loop behavior as well as minimizing model-plant mismatch. Doing so offers a high degree of freedom and, thus, the opportunity for efficient and global optimization towards the desired and optimal closed-loop behavior. We extend this framework by stability constraints on the learned controller parameters, exploiting the optimal value function of the underlying MPC as a Lyapunov candidate. The effectiveness of the proposed approach is underlined in simulations, highlighting its performance and safety capabilities.
Comment: 7 pages, 3 figures, accepted for NMPC 2024
نوع الوثيقة: Working Paper
URL الوصول: http://arxiv.org/abs/2404.12187
رقم الأكسشن: edsarx.2404.12187
قاعدة البيانات: arXiv