Optimal Energy Shaping via Neural Approximators

Abstract

We introduce optimal energy shaping as an enhancement of classical passivity-based control methods. A promising feature of passivity theory, alongside stability, has traditionally claimed to be intuitive performance tuning along the execution of a given task. However, a systematic approach for adjusting performance within a passive control framework has yet to be developed, as each method relies on few and problem-specific practical insights. Here, we cast the classic energy-shaping control design process in an optimal control framework; once a task-dependent performance metric is defined, an optimal solution is systematically obtained through an iterative procedure relying on neural networks and gradient-based optimization. The proposed method is validated on state-regulation tasks. © 2022 Society for Industrial and Applied Mathematics.