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Consider a discrete-time Linear Quadratic Regulator (LQR) problem solved using policy gradient descent when the system matrices are unknown. The gradient is transmitted across a noisy channel over a finite time horizon using analog…

Optimization and Control · Mathematics 2025-07-22 Ashwin Verma , Aritra Mitra , Lintao Ye , Vijay Gupta

This paper presents a novel direct data-driven control framework for solving the linear quadratic regulator (LQR) under disturbances and noisy state measurements. The system dynamics are assumed unknown, and the LQR solution is learned…

Systems and Control · Electrical Eng. & Systems 2025-05-13 Ramin Esmzad , Gokul S. Sankar , Teawon Han , Hamidreza Modares

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…

Optimization and Control · Mathematics 2025-06-17 Weijian Li , Panagiotis Kounatidis , Zhong-Ping Jiang , Andreas A. Malikopoulos

Inspired by REINFORCE, we introduce a novel receding-horizon algorithm for the Linear Quadratic Regulator (LQR) problem with unknown dynamics. Unlike prior methods, our algorithm avoids reliance on two-point gradient estimates while…

Optimization and Control · Mathematics 2025-10-07 Amirreza Neshaei Moghaddam , Alex Olshevsky , Bahman Gharesifard

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

The essence of modern e-Commercial search system lies in matching user's intent and available candidates depending on user's query, providing personalized and precise service. However, user's query may be incorrect due to ambiguous input…

Information Retrieval · Computer Science 2025-04-09 Shangyu Chen , Xinyu Jia , Yingfei Zhang , Shuai Zhang , Xiang Li , Wei Lin

We study the exploration-exploitation dilemma in the linear quadratic regulator (LQR) setting. Inspired by the extended value iteration algorithm used in optimistic algorithms for finite MDPs, we propose to relax the optimistic optimization…

Machine Learning · Statistics 2020-07-14 Marc Abeille , Alessandro Lazaric

A major open problem on the road to artificial intelligence is the development of incrementally learning systems that learn about more and more concepts over time from a stream of data. In this work, we introduce a new training strategy,…

Computer Vision and Pattern Recognition · Computer Science 2017-04-17 Sylvestre-Alvise Rebuffi , Alexander Kolesnikov , Georg Sperl , Christoph H. Lampert

Linear time-invariant control systems can be considered as finitely generated modules over the commutative principal ideal ring $\mathbb{R}[\frac{d}{dt}]$ of linear differential operators with respect to the time derivative. The Kalman…

Optimization and Control · Mathematics 2025-12-15 Cédric Join , Emmanuel Delaleau , Michel Fliess

The sudden onset of deleterious and oscillatory dynamics (often called instabilities) is a known challenge in many fluid, plasma, and aerospace systems. These dynamics are difficult to address because they are nonlinear, chaotic, and are…

Machine Learning · Computer Science 2024-05-31 John W. Brooks , Christine M. Greve

Designing the optimal linear quadratic regulator (LQR) for a large-scale multi-agent system (MAS) is time-consuming since it involves solving a large-size matrix Riccati equation. The situation is further exasperated when the design needs…

Systems and Control · Electrical Eng. & Systems 2021-03-18 Gangshan Jing , He Bai , Jemin George , Aranya Chakrabortty

Model Predictive Control (MPC) is a popular strategy for controlling robots but is difficult for systems with contact due to the complex nature of hybrid dynamics. To implement MPC for systems with contact, dynamic models are often…

Robotics · Computer Science 2023-11-08 Nathan J. Kong , Chuanzheng Li , Aaron M. Johnson

The model-driven power allocation (PA) algorithms in the wireless cellular networks with interfering multiple-access channel (IMAC) have been investigated for decades. Nowadays, the data-driven model-free machine learning-based approaches…

Information Theory · Computer Science 2018-12-10 Fan Meng , Peng Chen , Lenan Wu

We propose a novel approach, OrQstrator, which is a modular framework for conducting quantum circuit optimization in the Noisy Intermediate-Scale Quantum (NISQ) era. Our framework is powered by Deep Reinforcement Learning (DRL). Our…

Software Engineering · Computer Science 2025-12-09 Laura Baird , Armin Moin

Feedback control problems involving autonomous quadratic systems are prevalent, yet there are only a limited number of software tools available for approximating their solution due to the complexity of the problem. This paper represents a…

Optimization and Control · Mathematics 2019-10-09 Jeff Borggaard , Lizette Zietsman

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

This paper presents a simulation-based comparison between the two controllers, Proportional Integral Derivative (PID), a classical controller and Linear Quadratic Regulator (LQR), an optimal controller, for a linearized quadrotor model. To…

Systems and Control · Electrical Eng. & Systems 2020-09-29 Prathamesh Saraf , Manan Gupta , Alivelu Manga Parimi

Learning representations for reinforcement learning (RL) has shown much promise for continuous control. We propose an efficient representation learning method using only a self-supervised latent-state consistency loss. Our approach employs…

Machine Learning · Computer Science 2024-06-06 Aidan Scannell , Kalle Kujanpää , Yi Zhao , Mohammadreza Nakhaei , Arno Solin , Joni Pajarinen

Solving motion tasks autonomously and accurately is a core ability for intelligent real-world systems. To achieve genuine autonomy across multiple systems and tasks, key challenges include coping with unknown dynamics and overcoming the…

Systems and Control · Electrical Eng. & Systems 2025-09-24 Jan-Hendrik Ewering , Alessandro Papa , Simon F. G. Ehlers , Thomas Seel , Michael Meindl

Integer-order calculus often falls short in capturing the long-range dependencies and memory effects found in many real-world processes. Fractional calculus addresses these gaps via fractional-order integrals and derivatives, but…

Systems and Control · Electrical Eng. & Systems 2025-10-20 Xiaole Zhang , Peiyu Zhang , Xiongye Xiao , Shixuan Li , Vasileios Tzoumas , Vijay Gupta , Paul Bogdan
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