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Based on a recently developed notion of physical realizability for quantum linear stochastic systems, we formulate a quantum LQG optimal control problem for quantum linear stochastic systems where the controller itself may also be a quantum…

Quantum Physics · Physics 2009-08-07 H. I. Nurdin , M. R. James , I. R. Petersen

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

In this paper, we study the linear quadratic (LQ) optimal control problem of linear systems with private input and measurement information. The main challenging lies in the unavailability of other regulators' historical input information.…

Optimization and Control · Mathematics 2023-05-29 Juanjuan Xu , Huanshui Zhang

Linear quadratic Gaussian (LQG) control is a well-established method for optimal control through state estimation, particularly in stabilizing an inverted pendulum on a cart. In standard laboratory setups, sensor redundancy enables direct…

Systems and Control · Electrical Eng. & Systems 2026-05-19 Daniel Engelsman , Itzik Klein

Q-learning is a promising method for solving optimal control problems for uncertain systems without the explicit need for system identification. However, approaches for continuous-time Q-learning have limited provable safety guarantees,…

Systems and Control · Electrical Eng. & Systems 2024-01-30 Soutrik Bandyopadhyay , Shubhendu Bhasin

Hamilton-Jacobi reachability methods for safety-critical control have been well studied, but the safety guarantees derived rely on the accuracy of the numerical computation. Thus, it is crucial to understand and account for any inaccuracies…

Systems and Control · Electrical Eng. & Systems 2022-12-15 Nikolaus Vertovec , Sina Ober-Blöbaum , Kostas Margellos

We consider event-triggered linear-quadratic Gaussian (LQG) control when sensor updates are transmitted over an i.i.d. packet-erasure channel. Although the optimal controller in a standard LQG setup is available in closed form, choosing…

Systems and Control · Electrical Eng. & Systems 2026-04-08 Zahra Hashemi , Dipankar Maity

This paper addresses the problem of robust and optimal control for the class of nonlinear quadratic systems subject to norm-bounded parametric uncertainties and disturbances, and in presence of some amplitude constraints on the control…

Systems and Control · Computer Science 2017-01-12 Merola Alessio , Cosentino Carlo , Colacino Domenico , Amato Francesco

We consider solutions to the linear quadratic Gaussian (LQG) regulator problem via policy gradient (PG) methods. Although PG methods have demonstrated strong theoretical guarantees in solving the linear quadratic regulator (LQR) problem,…

Optimization and Control · Mathematics 2025-07-15 Kasra Fallah , Leonardo F. Toso , James Anderson

A novel method of an adaptive linear quadratic (LQ) regulation of uncertain continuous linear time-invariant systems is proposed. Such an approach is based on the direct self-tuning regulators design framework and the exponentially stable…

Systems and Control · Electrical Eng. & Systems 2023-08-22 Anton Glushchenko , Konstantin Lastochkin

Safety filtering is an effective method for enforcing constraints in safety-critical systems, but existing methods typically assume perfect state information. This limitation is especially problematic for systems that rely on neural network…

Systems and Control · Electrical Eng. & Systems 2026-02-06 Nicholas Rober , Alex Rose , Jonathan P. How

In this work, we revisit the Linear Quadratic Gaussian (LQG) optimal control problem from a behavioral perspective. Motivated by the suitability of behavioral models for data-driven control, we begin with a reformulation of the LQG problem…

Systems and Control · Electrical Eng. & Systems 2022-09-20 Abed AlRahman Al Makdah , Vishaal Krishnan , Vaibhav Katewa , Fabio Pasqualetti

This paper is concerned with coherent quantum linear quadratic Gaussian (CQLQG) control. The problem is to find a stabilizing measurement-free quantum controller for a quantum plant so as to minimize a mean square cost for the fully quantum…

Quantum Physics · Physics 2016-09-27 Arash Kh. Sichani , Igor G. Vladimirov , Ian R. Petersen

The security of quantum key distribution (QKD) is severely threatened by discrepancies between realistic devices and theoretical assumptions. Recently, a significant framework called the reference technique was proposed to provide security…

Quantum Physics · Physics 2022-11-21 Jie Gu , Xiao-Yu Cao , Yao Fu , Zong-Wu He , Ze-Jie Yin , Hua-Lei Yin , Zeng-Bing Chen

This paper addresses the joint state estimation and control problems for unknown linear time-invariant systems subject to both process and measurement noise. The aim is to redesign the linear quadratic Gaussian (LQG) controller based solely…

Systems and Control · Electrical Eng. & Systems 2023-05-03 Wenjie Liu , Jian Sun , Gang Wang , Francesco Bullo , Jie Chen

This study explores the vulnerability of direct data driven control, particularly in the linear quadratic regulator (LQR) problem, to adversarial perturbations in offline collected data. We focus on stealthy attacks that subtly alter…

Systems and Control · Electrical Eng. & Systems 2026-04-09 Hampei Sasahara

In this paper we address the problem of information-constrained optimal control for an interconnected system subject to one-step communication delays and power constraints. The goal is to minimize a finite-horizon quadratic cost by…

Systems and Control · Computer Science 2018-03-21 V. Causevic , P. Ugo Abara , S. Hirche

In this paper we study an imitation and transfer learning setting for Linear Quadratic Gaussian (LQG) control, where (i) the system dynamics, noise statistics and cost function are unknown and expert data is provided (that is, sequences of…

Systems and Control · Electrical Eng. & Systems 2023-06-23 Taosha Guo , Abed AlRahman Al Makdah , Vishaal Krishnan , Fabio Pasqualetti

This paper addresses the problem of sequence-based controller design for Networked Control Systems (NCS), where control inputs and measurements are transmitted over TCP-like network connections that are subject to stochastic packet losses…

Systems and Control · Computer Science 2012-11-14 Jörg Fischer , Achim Hekler , Maxim Dolgov , Uwe D. Hanebeck

In this paper, we study a cooperative linear quadratic Gaussian (LQG) control system with a single user and a server. In this system, the user runs a process and employs the server to meet the needs of computation. However, the user regards…

Systems and Control · Electrical Eng. & Systems 2024-03-29 Wenhao Lin , Yuqing Ni , Wen Yang , Chao Yang