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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

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

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 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

An iterative learning algorithm is presented for continuous-time linear-quadratic optimal control problems where the system is externally symmetric with unknown dynamics. Both finite-horizon and infinite-horizon problems are considered. It…

最优化与控制 · 数学 2025-10-10 Hamed Taghavian , Florian Dorfler , Mikael Johansson

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

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

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

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

We consider the problem of finite-horizon optimal control design under uncertainty for imperfectly observed discrete-time systems with convex costs and constraints. It is known that this problem can be cast as an infinite-dimensional convex…

最优化与控制 · 数学 2019-04-02 Kevin J. Kircher , K. Max Zhang

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

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

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

This work addresses the finite-horizon robust covariance control problem for discrete-time, partially observable, linear system affected by random zero mean noise and deterministic but unknown disturbances restricted to lie in what is…

最优化与控制 · 数学 2020-07-02 Georgios Kotsalis , Guanghui Lan , Arkadi Nemirovski

This paper focuses on optimal control problem for a class of discrete-time nonlinear systems. In practical applications, computation time is a crucial consideration when solving nonlinear optimal control problems, especially under real-time…

最优化与控制 · 数学 2025-04-01 Chuanzhi Lv , Xunmin Yin , Hongdan Li , Huanshui Zhang

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

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

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

We consider the problem of computing optimal linear control policies for linear systems in finite-horizon. The states and the inputs are required to remain inside pre-specified safety sets at all times despite unknown disturbances. In this…

系统与控制 · 计算机科学 2019-12-17 Luca Furieri , Maryam Kamgarpour

This paper studies the problem of steering a linear time-invariant system subject to state and input constraints towards a goal location that may be inferred only through partial observations. We assume mixed-observable settings, where the…

最优化与控制 · 数学 2022-11-22 Ugo Rosolia , Yuxiao Chen , Shreyansh Daftry , Masahiro Ono , Yisong Yue , Aaron D. Ames
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