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Related papers: Sensing-Constrained LQG Control

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We investigate a Linear-Quadratic-Gaussian (LQG) control and sensing co-design problem, where one jointly designs sensing and control policies. We focus on the realistic case where the sensing design is selected among a finite set of…

Optimization and Control · Mathematics 2020-05-20 Vasileios Tzoumas , Luca Carlone , George J. Pappas , Ali Jadbabaie

We study the linear quadratic Gaussian (LQG) control problem, in which the controller's observation of the system state is such that a desired cost is unattainable. To achieve the desired LQG cost, we introduce a communication link from the…

Optimization and Control · Mathematics 2021-09-28 Oron Sabag , Peida Tian , Victoria Kostina , Babak Hassibi

The Linear Quadratic Gaussian (LQG) problem is a classic and widely studied model in optimal control, providing a fundamental framework for designing controllers for linear systems subject to process and observation noises. In recent years,…

Optimization and Control · Mathematics 2026-03-17 Haoran Li , Xun Li , Yuan-Hua Ni , Xuebo Zhang

In networked control systems, often the sensory signals are quantized before being transmitted to the controller. Consequently, performance is affected by the coarseness of this quantization process. Modern communication technologies allow…

Systems and Control · Electrical Eng. & Systems 2021-11-09 Dipankar Maity , Panagiotis Tsiotras

We consider a discrete-time Linear-Quadratic-Gaussian (LQG) control problem in which Massey's directed information from the observed output of the plant to the control input is minimized while required control performance is attainable.…

Optimization and Control · Mathematics 2017-06-13 Takashi Tanaka , Peyman Mohajerin Esfahani , Sanjoy K. Mitter

Stochastic control deals with finding an optimal control signal for a dynamical system in a setting with uncertainty, playing a key role in numerous applications. The linear quadratic Gaussian (LQG) is a widely-used setting, where the…

Systems and Control · Electrical Eng. & Systems 2022-10-26 Solomon Goldgraber Casspi , Oliver Husser , Guy Revach , Nir Shlezinger

Linear-Quadratic-Gaussian (LQG) control is a fundamental control paradigm that is studied in various fields such as engineering, computer science, economics, and neuroscience. It involves controlling a system with linear dynamics and…

Optimization and Control · Mathematics 2023-11-02 Bahar Taşkesen , Dan A. Iancu , Çağıl Koçyiğit , Daniel Kuhn

In networked control systems, often the sensory signals are quantized before being transmitted to the controller. Consequently, performance is affected by the coarseness of this quantization process. Modern communication technologies allow…

Systems and Control · Electrical Eng. & Systems 2021-02-23 Dipankar Maity , Panagiotis Tsiotras

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

The linear-quadratic-Gaussian (LQG) control paradigm is well-known in literature. The strategy of minimizing the cost function is available, both for the case where the state is known and where it is estimated through an observer. The…

Systems and Control · Computer Science 2018-12-10 Hildo Bijl , Thomas B. Schön

Understanding the optimization landscape of linear quadratic regulation (LQR) problems is fundamental to the design of efficient reinforcement learning solutions. Recent work has made significant progress in characterizing the landscape of…

Systems and Control · Electrical Eng. & Systems 2026-04-14 Jingliang Duan , Jie Li , Yinsong Ma , Liye Tang , Guofa Li , Liping Zhang , Shengbo Eben Li , Lin Zhao

We consider a joint sensor and controller design problem for linear Gaussian stochastic systems in which a weighted sum of quadratic control cost and the amount of information acquired by the sensor is minimized. This problem formulation is…

Optimization and Control · Mathematics 2015-03-09 Takashi Tanaka , Henrik Sandberg

We investigate a linear quadratic Gaussian (LQG) tracking problem with safety and reachability constraints in the presence of an adversary who mounts an FDI attack on an unknown set of sensors. For each possible set of compromised sensors,…

Systems and Control · Electrical Eng. & Systems 2022-07-13 Zhouchi Li , Luyao Niu , Andrew Clark

The Linear Quadratic Gaussian (LQG) controller is known to be inherently fragile to model misspecifications common in real-world situations. We consider discrete-time partially observable stochastic linear systems and provide a…

Optimization and Control · Mathematics 2025-07-31 Marta Fochesato , Lucia Falconi , Mattia Zorzi , Augusto Ferrante , John Lygeros

The problem of controller reduction has a rich history in control theory. Yet, many questions remain open. In particular, there exist very few results on the order reduction of general non-observer based controllers and the subsequent…

Optimization and Control · Mathematics 2022-11-30 Zhaolin Ren , Yang Zheng , Maryam Fazel , Na Li

This paper studies a class of partially observed Linear Quadratic Gaussian (LQG) problems with unknown dynamics. We establish an end-to-end sample complexity bound on learning a robust LQG controller for open-loop stable plants. This is…

Optimization and Control · Mathematics 2021-07-14 Yang Zheng , Luca Furieri , Maryam Kamgarpour , Na Li

The goal of this paper is to study a multi-objective linear quadratic Gaussian (LQG) control problem. In particular, we consider an optimal control problem minimizing a quadratic cost over a finite time horizon for linear stochastic systems…

Optimization and Control · Mathematics 2021-06-01 Donghwan Lee , Do Wan Kim

This paper is concerned with constructing an optimal controller in the coherent quantum Linear Quadratic Gaussian problem. A coherent quantum controller is itself a quantum system and is required to be physically realizable. The use of…

Quantum Physics · Physics 2012-05-21 Igor G. Vladimirov , Ian R. Petersen

The linear quadratic Gaussian (LQG) control problem for the linear wave equation on the unit circle with fully distributed actuation and partial state measurements is considered. An analytical solution to a spatial discretization of the…

Optimization and Control · Mathematics 2025-09-18 Addie McCurdy , Emily Jensen

The Linear Quadratic Gaussian (LQG) regulator is a cornerstone of optimal control theory, yet its performance can degrade significantly when the noise distributions deviate from the assumed Gaussian model. To address this limitation, this…

Systems and Control · Electrical Eng. & Systems 2026-03-27 Riccardo Cescon , Andrea Martin , Giancarlo Ferrari-Trecate
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