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The Inverse Optimal Control (IOC) problem is a structured system identification problem that aims to identify the underlying objective function based on observed optimal trajectories. This provides a data-driven way to model experts'…

最优化与控制 · 数学 2024-02-28 Han Zhang , Axel Ringh

Inverse Optimal Control (IOC) aims to infer the underlying cost functional of an agent from observations of its expert behavior. This paper focuses on the IOC problem within the continuous-time linear quadratic regulator framework,…

最优化与控制 · 数学 2025-07-29 Meiling Yu , Lechen Feng , Lei Jiang , Yuan-Hua Ni

Cost functions have the potential to provide compact and understandable generalizations of motion. The goal of Inverse Optimal Control (IOC) is to analyze an observed behavior which is assumed to be optimal with respect to an unknown cost…

机器人学 · 计算机科学 2021-04-27 John R. Rebula , Stefan Schaal , James Finley , Ludovic Righetti

The goal of Inverse Optimal Control (IOC) is to identify the underlying objective function based on observed optimal trajectories. It provides a powerful framework to model expert's behavior, and a data-driven way to design an objective…

最优化与控制 · 数学 2022-04-28 Han Zhang , Axel Ringh , Weihan Jiang , Shaoyuan Li , Xiaoming Hu

Reinforcement learning can acquire complex behaviors from high-level specifications. However, defining a cost function that can be optimized effectively and encodes the correct task is challenging in practice. We explore how inverse optimal…

机器学习 · 计算机科学 2016-05-30 Chelsea Finn , Sergey Levine , Pieter Abbeel

Inverse Optimal Control (IOC) seeks to recover an unknown cost from expert demonstrations, and it provides a systematic way of modeling experts' decision mechanisms while considering the prior information of the cost functions.…

最优化与控制 · 数学 2025-12-01 Ziliang Wang , Han Zhang , Axel Ringh

In this paper, the problem of finite horizon inverse optimal control (IOC) is investigated, where the quadratic cost function of a dynamic process is required to be recovered based on the observation of optimal control sequences. We propose…

最优化与控制 · 数学 2018-11-02 Yibei Li , Yu Yao , Xiaoming Hu

Inverse optimal control (IOC) is a promising paradigm for learning and mimicking optimal control strategies from capable demonstrators, or gaining a deeper understanding of their intentions, by estimating an unknown objective function from…

系统与控制 · 电气工程与系统科学 2025-08-28 Rahel Rickenbach , Amon Lahr , Melanie N. Zeilinger

Inverse optimal control (IOC) is about estimating an unknown objective of interest given its optimal control sequence. However, truly optimal demonstrations are often difficult to obtain, e.g., due to human errors or inaccurate…

系统与控制 · 电气工程与系统科学 2023-12-07 Rahel Rickenbach , Anna Scampicchio , Melanie N. Zeilinger

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…

系统与控制 · 电气工程与系统科学 2025-03-20 Hamed Jabbari Asl , Eiji Uchibe

Inverse optimal control (IOC) aims to estimate the underlying cost that governs the observed behavior of an expert system. However, in practical scenarios, the collected data is often corrupted by noise, which poses significant challenges…

最优化与控制 · 数学 2026-02-10 Ziliang Wang , Axel Ringh , Han Zhang

In this paper, we propose a new algorithm to solve the Inverse Stochastic Optimal Control (ISOC) problem of the linear-quadratic sensorimotor (LQS) control model. The LQS model represents the current state-of-the-art in describing…

最优化与控制 · 数学 2024-03-20 Philipp Karg , Manuel Hess , Balint Varga , Sören Hohmann

This paper studies the inverse optimal control problem for continuous-time linear quadratic regulators over finite-time horizon, aiming to reconstruct the control, state, and terminal cost matrices in the objective function from observed…

最优化与控制 · 数学 2025-10-07 Yuexin Cao , Yibei Li , Zhuo Zou , Xiaoming Hu

This paper proposes a data-driven, iterative approach for inverse optimal control (IOC), which aims to learn the objective function of a nonlinear optimal control system given its states and inputs. The approach solves the IOC problem in a…

系统与控制 · 电气工程与系统科学 2023-04-04 Zihao Liang , Wenjian Hao , Shaoshuai Mou

In this paper, we define and solve the Inverse Stochastic Optimal Control (ISOC) problem of the linear-quadratic Gaussian (LQG) and the linear-quadratic sensorimotor (LQS) control model. These Stochastic Optimal Control (SOC) models are…

最优化与控制 · 数学 2022-11-01 Philipp Karg , Simon Stoll , Simon Rothfuß , Sören Hohmann

In this paper, we consider the inverse optimal control problem for the discrete-time linear quadratic regulator, over finite-time horizons. Given observations of the optimal trajectories, and optimal control inputs, to a linear…

最优化与控制 · 数学 2018-10-31 Han Zhang , Jack Umenberger , Xiaoming Hu

Inverse optimal control (IOC) allows the retrieval of optimal cost function weights, or behavioral parameters, from human motion. The literature on IOC uses methods that are either based on a slow bilevel process or a fast but…

机器人学 · 计算机科学 2025-10-10 Filip Bečanović , Kosta Jovanović , Vincent Bonnet

This paper addresses the inverse optimal control problem of finding the state weighting function that leads to a quadratic value function when the cost on the input is fixed to be quadratic. The paper focuses on a class of infinite horizon…

最优化与控制 · 数学 2022-11-21 Luis Rodrigues

This article studies inverse reinforcement learning (IRL) for the stochastic linear-quadratic optimal control problem, where two agents are considered. A learner agent does not know the expert agent's performance cost function, but it…

最优化与控制 · 数学 2024-05-28 Zhongshi Sun , Guangyan Jia

Iterative learning control (ILC) is a control strategy for repetitive tasks wherein information from previous runs is leveraged to improve future performance. Optimization-based ILC (OB-ILC) is a powerful design framework for constrained…

系统与控制 · 电气工程与系统科学 2022-05-27 Dominic Liao-McPherson , Efe C. Balta , Alisa Rupenyan , John Lygeros
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