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Policy gradient algorithms are widely used in reinforcement learning and belong to the class of approximate dynamic programming methods. This paper studies two key policy gradient algorithms, the Natural Policy Gradient and the Gauss-Newton…

系统与控制 · 电气工程与系统科学 2026-05-11 Bowen Song , Sebastien Gros , Andrea Iannelli

Reinforcement learning (RL) has seen significant research and application results but often requires large amounts of training data. This paper proposes two data-efficient off-policy RL methods that use parametrized Q-learning. In these…

系统与控制 · 电气工程与系统科学 2025-04-09 J. S. van Hulst , W. P. M. H. Heemels , D. J. Antunes

Policy optimization (PO), an essential approach of reinforcement learning for a broad range of system classes, requires significantly more system data than indirect (identification-followed-by-control) methods or behavioral-based direct…

最优化与控制 · 数学 2023-09-18 Feiran Zhao , Florian Dörfler , Keyou You

Policy optimization has drawn increasing attention in reinforcement learning, particularly in the context of derivative-free methods for linear quadratic regulator (LQR) problems with unknown dynamics. This paper focuses on characterizing…

最优化与控制 · 数学 2025-06-17 Weijian Li , Panagiotis Kounatidis , Zhong-Ping Jiang , Andreas A. Malikopoulos

Direct data-driven design methods for the linear quadratic regulator (LQR) mainly use offline or episodic data batches, and their online adaptation has been acknowledged as an open problem. In this paper, we propose a direct adaptive method…

最优化与控制 · 数学 2024-10-07 Feiran Zhao , Florian Dörfler , Alessandro Chiuso , Keyou You

This paper presents a novel value iteration (VI) algorithm for finding the optimal control for a kind of infinite-horizon stochastic linear quadratic (SLQ) problem with unknown systems. First, an off-line algorithm is estabilished to obtain…

最优化与控制 · 数学 2022-03-15 Guangchen Wang , Heng Zhang

Model-free approaches for reinforcement learning (RL) and continuous control find policies based only on past states and rewards, without fitting a model of the system dynamics. They are appealing as they are general purpose and easy to…

机器学习 · 计算机科学 2018-10-09 Yasin Abbasi-Yadkori , Nevena Lazic , Csaba Szepesvari

The linear quadratic regulator (LQR) problem has reemerged as an important theoretical benchmark for reinforcement learning-based control of complex dynamical systems with continuous state and action spaces. In contrast with nearly all…

机器学习 · 计算机科学 2020-05-04 Benjamin Gravell , Peyman Mohajerin Esfahani , Tyler Summers

Many reinforcement learning methods achieve great success in practice but lack theoretical foundation. In this paper, we study the convergence analysis on the problem of the Linear Quadratic Regulator (LQR). The global linear convergence…

最优化与控制 · 数学 2020-07-09 Zeyu Jin , Johann Michael Schmitt , Zaiwen Wen

Classical linear quadratic (LQ) control centers around linear time-invariant (LTI) systems, where the control-state pairs introduce a quadratic cost with time-invariant parameters. Recent advancement in online optimization and control has…

最优化与控制 · 数学 2020-09-30 Ting-Jui Chang , Shahin Shahrampour

The principal task to control dynamical systems is to ensure their stability. When the system is unknown, robust approaches are promising since they aim to stabilize a large set of plausible systems simultaneously. We study linear…

系统与控制 · 电气工程与系统科学 2020-11-24 Lenart Treven , Sebastian Curi , Mojmir Mutny , Andreas Krause

Linear Quadratic Regulators (LQR) achieve enormous successful real-world applications. Very recently, people have been focusing on efficient learning algorithms for LQRs when their dynamics are unknown. Existing results effectively learn to…

机器学习 · 计算机科学 2021-02-15 Tianyu Wang , Lin F. Yang

We study in this paper a class of constrained linear-quadratic (LQ) optimal control problem formulations for the scalar-state stochastic system with multiplicative noise, which has various applications, especially in the financial risk…

系统与控制 · 计算机科学 2017-09-19 Weipin Wu , Jianjun Gao , Duan Li , Yun Shi

This work introduces a novel control strategy called Iterative Linear Quadratic Regulator for Iterative Tasks (i2LQR), which aims to improve closed-loop performance with local trajectory optimization for iterative tasks in a dynamic…

系统与控制 · 电气工程与系统科学 2023-09-08 Yifan Zeng , Suiyi He , Han Hoang Nguyen , Yihan Li , Zhongyu Li , Koushil Sreenath , Jun Zeng

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

Policy iteration (PI) is a recursive process of policy evaluation and improvement for solving an optimal decision-making/control problem, or in other words, a reinforcement learning (RL) problem. PI has also served as the fundamental for…

人工智能 · 计算机科学 2021-04-06 Jaeyoung Lee , Richard S. Sutton

This paper studies distributed Q-learning for Linear Quadratic Regulator (LQR) in a multi-agent network. The existing results often assume that agents can observe the global system state, which may be infeasible in large-scale systems due…

多智能体系统 · 计算机科学 2020-12-24 Hang Wang , Sen Lin , Hamid Jafarkhani , Junshan Zhang

Reinforcement learning (RL) algorithms for real-world robotic applications need a data-efficient learning process and the ability to handle complex, unknown dynamical systems. These requirements are handled well by model-based and…

机器人学 · 计算机科学 2017-06-20 Yevgen Chebotar , Karol Hausman , Marvin Zhang , Gaurav Sukhatme , Stefan Schaal , Sergey Levine

We study the problem of policy estimation for the Linear Quadratic Regulator (LQR) in discrete-time linear time-invariant uncertain dynamical systems. We propose a Moreau Envelope-based surrogate LQR cost, built from a finite set of…

最优化与控制 · 数学 2024-10-08 Ashwin Aravind , Mohammad Taha Toghani , César A. Uribe

In this paper, we propose a structured linear parameterization of a feedback policy to solve the model-free stochastic optimal control problem. This parametrization is corroborated by a decoupling principle that is shown to be near-optimal…

最优化与控制 · 数学 2020-02-19 Karthikeya S Parunandi , Aayushman Sharma , Suman Chakravorty , Dileep Kalathil