Data-Driven Inverse Optimal Control for Continuous-Time Nonlinear Systems
Abstract
This paper introduces a novel model-free and a partially model-free algorithm for inverse optimal control (IOC), also known as inverse reinforcement learning (IRL), aimed at estimating the cost function of continuous-time nonlinear deterministic systems. Using the input-state trajectories of an expert agent, the proposed algorithms separately utilize control policy information and the Hamilton-Jacobi-Bellman equation to estimate different sets of cost function parameters. This approach allows the algorithms to achieve broader applicability while maintaining a model-free framework. Also, the model-free algorithm reduces complexity compared to existing methods, as it requires solving a forward optimal control problem only once during initialization. Furthermore, in our partially model-free algorithm, this step can be bypassed entirely for systems with known input dynamics. Simulation results demonstrate the effectiveness and efficiency of our algorithms, highlighting their potential for real-world deployment in autonomous systems and robotics.
Cite
@article{arxiv.2503.09090,
title = {Data-Driven Inverse Optimal Control for Continuous-Time Nonlinear Systems},
author = {Hamed Jabbari Asl and Eiji Uchibe},
journal= {arXiv preprint arXiv:2503.09090},
year = {2025}
}