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This paper presents a data-driven method to find a closed-loop optimal controller, which minimizes a specified infinite-horizon cost function for systems with unknown dynamics. Suppose the closed-loop optimal controller can be parameterized…

机器学习 · 计算机科学 2025-11-20 Wenjian Hao , Paulo C. Heredia , Shaoshuai Mou

In this paper, we study optimization problems where the cost function contains time-varying parameters that are unmeasurable and evolve according to linear, yet unknown, dynamics. We propose a solution that leverages control theoretic tools…

最优化与控制 · 数学 2025-03-20 Shivanshu Tripathi , Abed AlRahman Al Makdah , Fabio Pasqualetti

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 paper develops online algorithms to track solutions of time-varying constrained optimization problems. Particularly, resembling workhorse Kalman filtering-based approaches for dynamical systems, the proposed methods involve…

最优化与控制 · 数学 2021-11-29 Andrea Simonetto , Emiliano Dall'Anese

This paper presents a method to verify closed-loop properties of optimization-based controllers for deterministic and stochastic constrained polynomial discrete-time dynamical systems. The closed-loop properties amenable to the proposed…

最优化与控制 · 数学 2016-11-16 Milan Korda , Colin N. Jones

We deal with the convergence of the value function of an approximate control problem with uncertain dynamics to the value function of a nonlinear optimal control problem. The assumptions on the dynamics and the costs are rather general and…

最优化与控制 · 数学 2021-05-31 Andrea Pesare , Michele Palladino , Maurizio Falcone

Derivative based optimization methods are efficient at solving optimal control problems near local optima. However, their ability to converge halts when derivative information vanishes. The inference approach to optimal control does not…

机器人学 · 计算机科学 2022-03-01 Daniel Layeghi , Steve Tonneau , Michael Mistry

We develop a general optimization strategy for performing a chosen unitary or non-unitary task on an open quantum system. The goal is to design a controlled time-dependent system Hamiltonian by variationally minimizing or maximizing a…

量子物理 · 物理学 2016-03-29 Jens Clausen , Guy Bensky , Gershon Kurizki

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

This paper addresses the optimal time-invariant formation tracking problem with the aim of providing a distributed solution for multi-agent systems with second-order integrator dynamics. In the literature, most of the results related to…

系统与控制 · 电气工程与系统科学 2025-01-08 Marco Fabris , Giulio Fattore , Angelo Cenedese

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

This work presents a technique for learning systems, where the learning process is guided by knowledge of the physics of the system. In particular, we solve the problem of the two-point boundary optimal control problem of linear…

系统与控制 · 电气工程与系统科学 2021-05-03 Vasanth Reddy , Hoda Eldardiry , Almuatazbellah Boker

A time-inconsistent optimal control problem is formulated and studied for a controlled linear ordinary differential equation with quadratic cost functional. A notion of equilibrium control is introduced, which can be regarded as a…

最优化与控制 · 数学 2012-04-10 Jiongmin Yong

This paper studies the optimal output-feedback control of a linear time-invariant system where a stochastic event-based scheduler triggers the communication between the sensor and the controller. The primary goal of the use of this type of…

系统与控制 · 计算机科学 2017-08-10 Burak Demirel , Alex S. Leong , Vijay Gupta , Daniel E. Quevedo

In this paper, we propose a unified stochastic optimal control framework that integrates time-optimal control problems with classical stochastic optimal control formulations. Unlike conventional deterministic time-optimal control models,…

最优化与控制 · 数学 2025-10-21 Shuzhen Yang

This paper considers the problem of adapting a predesigned policy, represented by a parameterized function class, from a solution that minimizes a given original cost function to a trade-off solution between minimizing the original…

系统与控制 · 电气工程与系统科学 2025-10-06 Wenjian Hao , Zehui Lu , Nicolas Miguel , Shaoshuai Mou

We consider the problem of stochastic optimal control, where the state-feedback control policies take the form of a probability distribution and where a penalty on the entropy is added. By viewing the cost function as a Kullback- Leibler…

最优化与控制 · 数学 2024-12-12 Marc Lambert , Francis Bach , Silvère Bonnabel

This paper is devoted to the distributed continuous-time optimization problem with time-varying objective functions and time-varying nonlinear inequality constraints. Different from most studied distributed optimization problems with…

最优化与控制 · 数学 2020-09-08 Shan Sun , Wei Ren

We consider the problem of discounted optimal state-feedback regulation for general unknown deterministic discrete-time systems. It is well known that open-loop instability of systems, non-quadratic cost functions and complex nonlinear…

系统与控制 · 电气工程与系统科学 2020-03-31 Alexandros Tanzanakis , John Lygeros

We consider an optimal control problem constrained by a parabolic partial differential equation (PDE) with Robin boundary conditions. We use a well-posed space-time variational formulation in Lebesgue--Bochner spaces with minimal…

数值分析 · 数学 2022-12-06 Nina Beranek , M. Alexander Reinhold , Karsten Urban