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Related papers: Data-Driven LQR using Reinforcement Learning and Q…

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It is known that reinforcement learning (RL) is data-hungry. To improve sample-efficiency of RL, it has been proposed that the learning algorithm utilize data from 'approximately similar' processes. However, since the process models are…

Machine Learning · Computer Science 2025-11-24 Vinay Kanakeri , Shivam Bajaj , Ashwin Verma , Vijay Gupta , Aritra Mitra

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…

Machine Learning · Computer Science 2020-05-04 Benjamin Gravell , Peyman Mohajerin Esfahani , Tyler Summers

This manuscript surveys reinforcement learning from the perspective of optimization and control with a focus on continuous control applications. It surveys the general formulation, terminology, and typical experimental implementations of…

Optimization and Control · Mathematics 2018-11-13 Benjamin Recht

Reinforcement Learning algorithms have recently been proposed to learn time-sequential control policies in the field of autonomous driving. Direct applications of Reinforcement Learning algorithms with discrete action space will yield…

Machine Learning · Computer Science 2019-12-03 Pin Wang , Hanhan Li , Ching-Yao Chan

In this paper, we propose a principled deep reinforcement learning (RL) approach that is able to accelerate the convergence rate of general deep neural networks (DNNs). With our approach, a deep RL agent (synonym for optimizer in this work)…

Machine Learning · Computer Science 2017-07-14 Jie Fu

For various typical cases and situations where the formulation results in an optimal control problem, the Linear Quadratic Regulator (LQR) approach and its variants continue to be highly attractive. In certain scenarios, it can happen that…

Optimization and Control · Mathematics 2023-02-14 Jun Ma , Zilong Cheng , Xiaocong Li , Wenxin Wang , Masayoshi Tomizuka , Tong Heng Lee

Reinforcement learning (RL) is an effective approach for solving optimal control problems without knowing the exact information of the system model. However, the classical Q-learning method, a model-free RL algorithm, has its limitations,…

Optimization and Control · Mathematics 2025-06-04 Xiushan Jiang , Weihai Zhang

This paper proposes efficient policy iteration and value iteration algorithms for the continuous-time linear quadratic regulator problem with unmeasurable states and unknown system dynamics, from the perspective of direct data-driven…

Systems and Control · Electrical Eng. & Systems 2026-03-17 Jun Xie , Yuan-Hua Ni , Yiqin Yang , Bo Xu

This paper discusses learning a structured feedback control to obtain sufficient robustness to exogenous inputs for linear dynamic systems with unknown state matrix. The structural constraint on the controller is necessary for many…

Systems and Control · Electrical Eng. & Systems 2021-02-23 Sayak Mukherjee , Thanh Long Vu

Reinforcement learning (RL) is a classical tool to solve network control or policy optimization problems in unknown environments. The original Q-learning suffers from performance and complexity challenges across very large networks. Herein,…

Machine Learning · Computer Science 2024-09-02 Talha Bozkus , Urbashi Mitra

The convergence of policy gradient algorithms in reinforcement learning hinges on the optimization landscape of the underlying optimal control problem. Theoretical insights into these algorithms can often be acquired from analyzing those of…

Machine Learning · Computer Science 2023-11-01 Jingliang Duan , Wenhan Cao , Yang Zheng , Lin Zhao

Deep reinforcement learning (RL) algorithms can learn complex policies to optimize agent operation over time. RL algorithms have shown promising results in solving complicated problems in recent years. However, their application on…

Machine Learning · Computer Science 2021-09-29 Hamed Khorasgani , Haiyan Wang , Chetan Gupta , Susumu Serita

Linear quadratic regulator (LQR) is one of the most popular frameworks to tackle continuous Markov decision process tasks. With its fundamental theory and tractable optimal policy, LQR has been revisited and analyzed in recent years, in…

Artificial Intelligence · Computer Science 2020-07-14 Youngsuk Park , Ryan A. Rossi , Zheng Wen , Gang Wu , Handong Zhao

This paper presents a model-free reinforcement learning (RL) algorithm to solve the risk-averse optimal control (RAOC) problem for discrete-time nonlinear systems. While successful RL algorithms have been presented to learn optimal control…

Systems and Control · Electrical Eng. & Systems 2021-03-29 Yuzhen Han , Majid Mazouchi , Subramanya Nageshrao , Hamidreza Modares

With the rapid advance of information technology, network systems have become increasingly complex and hence the underlying system dynamics are often unknown or difficult to characterize. Finding a good network control policy is of…

Performance · Computer Science 2022-04-08 Bai Liu , Qiaomin Xie , Eytan Modiano

We study the discrete-time linear-quadratic (LQ) control model using reinforcement learning (RL). Using entropy to measure the cost of exploration, we prove that the optimal feedback policy for the problem must be Gaussian type. Then, we…

Machine Learning · Statistics 2025-02-05 Lucky Li

We investigate the problem of learning linear quadratic regulators (LQR) in a multi-task, heterogeneous, and model-free setting. We characterize the stability and personalization guarantees of a policy gradient-based (PG) model-agnostic…

Optimization and Control · Mathematics 2024-06-04 Leonardo F. Toso , Donglin Zhan , James Anderson , Han Wang

This paper addresses the problem of qubit routing in first-generation and other near-term quantum computers. In particular, it is asserted that the qubit routing problem can be formulated as a reinforcement learning (RL) problem, and that…

Quantum Physics · Physics 2019-01-29 Steven Herbert , Akash Sengupta

A promising method for constructing a data-driven output-feedback control law involves the construction of a model-free observer. The Linear Quadratic Regulator (LQR) optimal control policy can then be obtained by both policy-iteration (PI)…

Optimization and Control · Mathematics 2025-09-24 Liquan Lin , Haoyan Lin , Jie Huang

Direct policy gradient methods for reinforcement learning and continuous control problems are a popular approach for a variety of reasons: 1) they are easy to implement without explicit knowledge of the underlying model 2) they are an…

Machine Learning · Computer Science 2019-03-26 Maryam Fazel , Rong Ge , Sham M. Kakade , Mehran Mesbahi