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Linear-Quadratic-Gaussian (LQG) control is concerned with the design of an optimal controller and estimator for linear Gaussian systems with imperfect state information. Standard LQG assumes the set of sensor measurements, to be fed to the…

最优化与控制 · 数学 2020-05-18 Vasileios Tzoumas , Luca Carlone , George J. Pappas , Ali Jadbabaie

In this paper, we propose a fast reinforcement learning (RL) control algorithm that enables online control of large-scale networked dynamic systems. RL is an effective way of designing model-free linear quadratic regulator (LQR) controllers…

系统与控制 · 电气工程与系统科学 2020-09-16 Tomonori Sadamoto , Aranya Chakrabortty , Jun-ichi Imura

Linear Quadratic Gaussian (LQG) systems are well-understood and methods to minimize the expected cost are readily available. Less is known about the statistical properties of the resulting cost function. The contribution of this paper is a…

系统与控制 · 计算机科学 2016-02-09 Hildo Bijl , Jan Willem van Wingerden , Thomas B. Schön , Michel Verhaegen

In this paper, we analyze the regret incurred by a computationally efficient exploration strategy, known as naive exploration, for controlling unknown partially observable systems within the Linear Quadratic Gaussian (LQG) framework. We…

系统与控制 · 电气工程与系统科学 2023-11-27 Archith Athrey , Othmane Mazhar , Meichen Guo , Bart De Schutter , Shengling Shi

State representation learning, or the ability to capture latent generative factors of an environment, is crucial for building intelligent agents that can perform a wide variety of tasks. Learning such representations without supervision…

机器学习 · 计算机科学 2020-11-09 Ankesh Anand , Evan Racah , Sherjil Ozair , Yoshua Bengio , Marc-Alexandre Côté , R Devon Hjelm

A general backward stochastic linear-quadratic optimal control problem is studied, in which both the state equation and the cost functional contain the nonhomogeneous terms. The main feature of the problem is that the weighting matrices in…

最优化与控制 · 数学 2022-03-01 Jingrui Sun , Jiaqiang Wen , Jie Xiong

Unsupervised machine learning models build an internal representation of their training data without the need for explicit human guidance or feature engineering. This learned representation provides insights into which features of the data…

量子物理 · 物理学 2024-01-09 Felix Frohnert , Evert van Nieuwenburg

Any agents we can possibly build are subject to capacity constraints, as memory and compute resources are inherently finite. However, comparatively little attention has been dedicated to understanding how agents with limited capacity should…

机器学习 · 计算机科学 2025-07-30 Zheng Wen , Doina Precup , Benjamin Van Roy , Satinder Singh

Recent developments in Reinforcement learning have significantly enhanced sequential decision-making in uncertain environments. Despite their strong performance guarantees, most existing work has focused primarily on improving the…

统计理论 · 数学 2025-08-13 Bo Pan , Jianya Lu , Yafei Wang , Hao Li , Bei Jiang , Linglong Kong

Distributed optimal control is known to be challenging and can become intractable even for linear-quadratic regulator problems. In this work, we study a special class of such problems where distributed state feedback controllers can give…

系统与控制 · 电气工程与系统科学 2024-03-14 Johan Olsson , Runyu Zhang , Emma Tegling , Na Li

This article is concerned with learning and stochastic control in physical systems which contain unknown input signals. These unknown signals are modeled as Gaussian processes (GP) with certain parametrized covariance structures. The…

系统与控制 · 计算机科学 2018-08-15 Simo Särkkä , Mauricio A. Álvarez , Neil D. Lawrence

This paper studies the partially observed stochastic optimal control problem for systems with state dynamics governed by partial differential equations (PDEs) that leads to an extremely large problem. First, an open-loop deterministic…

最优化与控制 · 数学 2017-11-06 Dan Yu , Mohammadhussein Rafieisakhaei , Suman Chakravorty

We address Bayesian persuasion between a sender and a receiver with state-dependent quadratic cost measures for general classes of distributions. The receiver seeks to make mean-square-error estimate of a state based on a signal sent by the…

计算机科学与博弈论 · 计算机科学 2020-09-15 Muhammed O. Sayin , Tamer Basar

In this paper, we formulate and solve a guaranteed cost control problem for a class of uncertain linear stochastic quantum systems. For these quantum systems, a connection with an associated classical (non-quantum) system is first…

量子物理 · 物理学 2011-07-29 A. J. Shaiju , I. R. Petersen , M. R. James

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…

最优化与控制 · 数学 2021-03-16 Bo Pang , Zhong-Ping Jiang

Control of nonlinear uncertain systems is a common challenge in the robotics field. Nonlinear latent force models, which incorporate latent uncertainty characterized as Gaussian processes, carry the promise of representing such systems…

机器人学 · 计算机科学 2022-07-29 Thomas Woodruff , Iman Askari , Guanghui Wang , Huazhen Fang

We introduce a new problem setting for continuous control called the LQR with Rich Observations, or RichLQR. In our setting, the environment is summarized by a low-dimensional continuous latent state with linear dynamics and quadratic…

We present a model-based globally convergent policy gradient method (PGM) for linear quadratic Gaussian (LQG) control. Firstly, we establish equivalence between optimizing dynamic output feedback controllers and designing a static feedback…

最优化与控制 · 数学 2024-02-27 Tomonori Sadamoto , Fumiya Nakamata

This paper studies the partially observed stochastic optimal control problem for systems with state dynamics governed by Partial Differential Equations (PDEs) that leads to an extremely large problem. First, an open-loop deterministic…

系统与控制 · 计算机科学 2017-07-12 Dan Yu , Mohammadhussein Rafieisakhaei , Suman Chakravorty

We study the performance of the certainty equivalent controller on Linear Quadratic (LQ) control problems with unknown transition dynamics. We show that for both the fully and partially observed settings, the sub-optimality gap between the…

最优化与控制 · 数学 2019-06-25 Horia Mania , Stephen Tu , Benjamin Recht