Inverse Optimal Control for Maximizing Harvested Energy From Dynamical Systems

Abstract

This paper formulates and solves a new problem of inverse optimal control to maximize harvested energy from dynamical systems induced by external excitations. An inverse optimal control law is designed to minimize a cost function penalizing negativeness of the harvested energy and positiveness of the control and system (partial) states, where it does not require to solve a Hamilton–Jacobi–Belman (HJB) equation or a Hamilton–Jacobi–Isaacs (HJI) equation. An application to a point absorber wave energy converter (PAWEC) is included to illustrate the effectiveness of the proposed theory.