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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…

Multiagent Systems · Computer Science 2020-12-24 Hang Wang , Sen Lin , Hamid Jafarkhani , Junshan Zhang

This paper presents approaches to mean-field control, motivated by distributed control of multi-agent systems. Control solutions are based on a convex optimization problem, whose domain is a convex set of probability mass functions (pmfs).…

Optimization and Control · Mathematics 2023-06-12 Neil Cammardella , Ana Bušić , Sean Meyn

Tracking mouse cursor movements can be used to predict user attention on heterogeneous page layouts like SERPs. So far, previous work has relied heavily on handcrafted features, which is a time-consuming approach that often requires domain…

Human-Computer Interaction · Computer Science 2020-06-03 Ioannis Arapakis , Luis A. Leiva

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

Optimal actuator design for a vibration control problem is calculated. The actuator shape is optimized according to the closed-loop performance of the resulting linear-quadratic regulator and a penalty on the actuator size. The optimal…

Optimization and Control · Mathematics 2019-03-19 M. Sajjad Edalatzadeh , Dante Kalise , Kirsten A. Morris , Kevin Sturm

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…

Machine Learning · Computer Science 2018-10-09 Yasin Abbasi-Yadkori , Nevena Lazic , Csaba Szepesvari

The Linear-Quadratic Regulation (LQR) problem with unknown system parameters has been widely studied, but it has remained unclear whether $\tilde{ \mathcal{O}}(\sqrt{T})$ regret, which is the best known dependence on time, can be achieved…

Optimization and Control · Mathematics 2025-01-28 Yiwen Lu , Yilin Mo

It is well known that highly volatile control laws, while theoretically optimal for certain systems, are undesirable from an engineering perspective, being generally deleterious to the controlled system. In this article we are concerned…

Systems and Control · Electrical Eng. & Systems 2020-09-22 Avinash Mohan , Shie Mannor , Arman Kizilkale

Iterative learning control (ILC) is a powerful technique for high performance tracking in the presence of modeling errors for optimal control applications. There is extensive prior work showing its empirical effectiveness in applications…

Robotics · Computer Science 2021-12-10 Anirudh Vemula , Wen Sun , Maxim Likhachev , J. Andrew Bagnell

This paper reports the design and implementation of a three-link brachiation robot. The robot is able to travel along horizontal monkey bars using continuous arm swings. We build a full order dynamics model for the robot and formulate each…

Systems and Control · Electrical Eng. & Systems 2019-11-14 Shuo Yang , Zhaoyuan Gu , Ruohai Ge , Aaron M. Johnson , Matthew Travers , Howie Choset

This paper studies the robustness of reinforcement learning algorithms to errors in the learning process. Specifically, we revisit the benchmark problem of discrete-time linear quadratic regulation (LQR) and study the long-standing open…

Optimization and Control · Mathematics 2021-03-16 Bo Pang , Zhong-Ping Jiang

We investigate the joint actuator-sensor design problem for stochastic linear control systems. Specifically, we address the problem of identifying a pair of sensor and actuator which gives rise to the minimum expected value of a quadratic…

Systems and Control · Computer Science 2018-06-12 Xudong Chen

In this report, linear quadratic regulator is used to design adaptive cruise control system. In the regulator, Q and R parameters vary with time according to current traffic situations. Phase-plant method is used to give constraints on Q…

Systems and Control · Electrical Eng. & Systems 2020-08-06 Yuncheng Jiang

Representation learning is a powerful tool that enables learning over large multitudes of agents or domains by enforcing that all agents operate on a shared set of learned features. However, many robotics or controls applications that would…

Machine Learning · Computer Science 2024-07-30 Bruce D. Lee , Leonardo F. Toso , Thomas T. Zhang , James Anderson , Nikolai Matni

We present LQR-CBF-RRT*, an incremental sampling-based algorithm for offline motion planning. Our framework leverages the strength of Control Barrier Functions (CBFs) and Linear Quadratic Regulators (LQR) to generate safety-critical and…

Robotics · Computer Science 2023-09-28 Guang Yang , Mingyu Cai , Ahmad Ahmad , Amanda Prorok , Roberto Tron , Calin Belta

This paper introduces a biomolecular Linear Quadratic Regulator (LQR) to investigate the design principles of gene regulatory networks. We show that for fundamental gene regulation network, the bio-controller derived from LQR theory…

Molecular Networks · Quantitative Biology 2025-11-05 Xiaoyu Zhang , Zhou Fang

The optimal controller design problem for a linear, first-order spatially-invariant distributed parameter system is considered. Through a case study of the Linear Quadratic Regulator (LQR) problem for the diffusion equation over the torus,…

Optimization and Control · Mathematics 2026-03-20 Addie McCurdy , Andrew Gusty , Emily Jensen

Iterative linear quadradic regulator(iLQR) has become a benchmark method to deal with nonlinear stochastic optimal control problem. However, it does not apply to delay system. In this paper, we extend the iLQR theory and prove new theorem…

Optimization and Control · Mathematics 2020-02-19 Cheng Ju , Yan Qin , Chunjiang Fu

We study the problem of adaptive control of the stochastic linear quadratic regulator (LQR) with constraints that must be satisfied at every time step. Prior work on the multidimensional problem has shown $\tilde{O}(T^{2/3})$ regret and…

Optimization and Control · Mathematics 2026-05-08 Spencer Hutchinson , Nanfei Jiang , Mahnoosh Alizadeh

When designing a power or CPU constrained device where a four-axis robotic arm is required and access to the Robot Operating System (ROS) is not an option, finding an efficient state space controller for a four-axis arm can be an obstacle.…

Robotics · Computer Science 2023-12-25 Alistair Keiller
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