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The inverse linear-quadratic optimal control problem is a system identification problem whose aim is to recover the quadratic cost function and hence the closed-loop system matrices based on observations of optimal trajectories. In this…

最优化与控制 · 数学 2022-09-22 Han Zhang , Axel Ringh

In this paper, the solvability of the Inverse Optimal Control (IOC) problem based on two existing minimum principal methods, is analysed. The aim of this work is to answer the question regarding what kinds of trajectories, that is depending…

最优化与控制 · 数学 2024-03-15 Afreen Islam , Guido Herrmann , Joaquin Carrasco

This paper is concerned with a finite-horizon inverse control problem, which has the goal of reconstructing, from observations, the possibly non-convex and non-stationary cost driving the actions of an agent. In this context, we present a…

最优化与控制 · 数学 2024-06-27 Emiland Garrabe , Hozefa Jesawada , Carmen Del Vecchio , Giovanni Russo

This paper addresses the inverse optimal control for the linear quadratic tracking problem with a fixed but unknown target state, which aims to estimate the possible triplets comprising the target state, the state weight matrix, and the…

系统与控制 · 电气工程与系统科学 2026-01-14 Yao Li , Chengpu Yu , Hao Fang , Jie Chen

Learning from expert demonstrations to flexibly program an autonomous system with complex behaviors or to predict an agent's behavior is a powerful tool, especially in collaborative control settings. A common method to solve this problem is…

系统与控制 · 电气工程与系统科学 2024-05-15 Samuel Tesfazgi , Leonhard Sprandl , Armin Lederer , Sandra Hirche

The problem of continuous inverse optimal control (over finite time horizon) is to learn the unknown cost function over the sequence of continuous control variables from expert demonstrations. In this article, we study this fundamental…

机器学习 · 计算机科学 2022-04-20 Yifei Xu , Jianwen Xie , Tianyang Zhao , Chris Baker , Yibiao Zhao , Ying Nian Wu

Model Predictive Control (MPC) is often tuned by trial and error. When a baseline linear controller exists that is already well tuned in the absence of constraints and MPC is introduced to enforce them, one would like to avoid altering the…

系统与控制 · 电气工程与系统科学 2021-11-01 Mario Zanon , Alberto Bemporad

Computational level explanations based on optimal feedback control with signal-dependent noise have been able to account for a vast array of phenomena in human sensorimotor behavior. However, commonly a cost function needs to be assumed for…

机器学习 · 计算机科学 2021-10-22 Matthias Schultheis , Dominik Straub , Constantin A. Rothkopf

In Inverse Optimization (IO), an expert agent solves an optimization problem parametric in an exogenous signal. From a learning perspective, the goal is to learn the expert's cost function given a dataset of signals and corresponding…

最优化与控制 · 数学 2024-01-25 Pedro Zattoni Scroccaro , Bilge Atasoy , Peyman Mohajerin Esfahani

We consider the problem of estimating the possibly non-convex cost of an agent by observing its interactions with a nonlinear, non-stationary and stochastic environment. For this inverse problem, we give a result that allows to estimate the…

最优化与控制 · 数学 2023-07-24 Émiland Garrabé , Hozefa Jesawada , Carmen Del Vecchio , Giovanni Russo

Iterative learning control (ILC) is a powerful technique for high performance tracking in the presence of modeling errors for optimal control applications. There is extensive prior work showing its empirical effectiveness in applications…

机器人学 · 计算机科学 2021-12-10 Anirudh Vemula , Wen Sun , Maxim Likhachev , J. Andrew Bagnell

Designing controllers to generate various trajectories has been studied for years, while recently, recovering an optimal controller from trajectories receives increasing attention. In this paper, we reveal that the inherent linear quadratic…

系统与控制 · 电气工程与系统科学 2023-12-29 Chendi Qu , Jianping He , Xiaoming Duan

A fundamental question in neuroscience is how the brain creates an internal model of the world to guide actions using sequences of ambiguous sensory information. This is naturally formulated as a reinforcement learning problem under partial…

机器学习 · 计算机科学 2020-11-02 Minhae Kwon , Saurabh Daptardar , Paul Schrater , Xaq Pitkow

This article develops a methodology that enables learning an objective function of an optimal control system from incomplete trajectory observations. The objective function is assumed to be a weighted sum of features (or basis functions)…

机器人学 · 计算机科学 2021-05-07 Wanxin Jin , Dana Kulić , Shaoshuai Mou , Sandra Hirche

This work addresses the problem of risk-sensitive control for nonlinear systems with imperfect state observations, extending results for the linear case. In particular, we derive an algorithm that can compute local solutions with…

最优化与控制 · 数学 2021-10-22 Bilal Hammoud , Armand Jordana , Ludovic Righetti

Inverse optimal control problem emerges in different practical applications, where the goal is to design a cost function in order to approximate given optimal strategies of an expert. Typical application is in robotics for generation of…

最优化与控制 · 数学 2024-06-21 Frédéric Jean , Sofya Maslovskaya

We propose a method for learning decision-makers' behavior in routing problems using Inverse Optimization (IO). The IO framework falls into the supervised learning category and builds on the premise that the target behavior is an optimizer…

最优化与控制 · 数学 2024-06-21 Pedro Zattoni Scroccaro , Piet van Beek , Peyman Mohajerin Esfahani , Bilge Atasoy

In this paper, a novel approach to the output-feedback inverse reinforcement learning (IRL) problem is developed by casting the IRL problem, for linear systems with quadratic cost functions, as a state estimation problem. Two observer-based…

系统与控制 · 电气工程与系统科学 2023-07-19 Ryan Self , Kevin Coleman , He Bai , Rushikesh Kamalapurkar

In this work, we address the challenge of approximating unknown system dynamics and costs by representing them as a bilinear system using Koopman-based Inverse Optimal Control (IOC). Using optimal trajectories, we construct a bilinear…

系统与控制 · 电气工程与系统科学 2025-01-31 Victor Nan Fernandez-Ayala , Shankar A. Deka , Dimos V. Dimarogonas

In this paper, we propose a method for estimating the algebraic Riccati equation (ARE) with respect to an unknown discrete-time system from the system state and input observation. The inverse optimal control (IOC) problem asks, ``What…

最优化与控制 · 数学 2024-02-12 Shuhei Sugiura , Ryo Ariizumi , Masaya Tanemura , Toru Asai , Shun-ichi Azuma