2014/03/20 by Edouard Pauwels, Didier Henrion, Pauwels, Edouard +3
Engineering · Mathematics · Physics and Astronomy · #Control Systems and Identification #FOS: Electrical engineering #FOS: Mathematics #Model Reduction and Neural Networks #Numerical methods in inverse problems #Optimization and Control (math.OC) #Systems and Control (eess.SY) #electronic engineering #information engineering
paper · doi:10.48550/arxiv.1403.5180
openalex publication_date 2014/03/20 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
In the context of optimal control, we consider the inverse problem of Lagrangian identification given system dynamics and optimal trajectories. Many of its theoretical and practical aspects are still open. Potential applications are very broad as a reliable solution to the problem would provide a powerful modeling tool in many areas of experimental science. We propose to use the Hamilton-Jacobi-Bellman sufficient optimality conditions for the direct problem as a tool for analyzing the inverse problem and propose a general method that attempts at solving it numerically with techniques of polynomial optimization and linear matrix inequalities. The relevance of the method is illustrated based on simulations on academic examples under various settings.