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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…

最优化与控制 · 数学 2021-07-14 Yang Zheng , Luca Furieri , Maryam Kamgarpour , Na Li

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

The purpose of this paper is to present a theoretic and numerical study of utilizing squeezing and phase shift in coherent feedback control of linear quantum optical systems. A quadrature representation with built-in phase shifters is…

量子物理 · 物理学 2012-06-19 Guofeng Zhang , Heung Wing Joseph Lee , Bo Huang , Hu Zhang

We study communication over control systems, where a controller-encoder selects inputs to a dynamical system in order to simultaneously regulate the system and convey a message to an observer that has access to the system's output…

信息论 · 计算机科学 2025-09-23 Aharon Rips , Oron Sabag

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…

系统与控制 · 电气工程与系统科学 2023-08-22 Anton Glushchenko , Konstantin Lastochkin

For linear time-invariant (LTI) systems, the design of an optimal controller is a commonly encountered problem in many applications. Among all the optimization approaches available, the linear quadratic regulator (LQR) methodology certainly…

最优化与控制 · 数学 2022-03-29 Zilong Cheng , Jun Ma , Xiaocong Li , Masayoshi Tomizuka , Tong Heng Lee

The purpose of this paper is to study the mixed linear quadratic Gaussian (LQG) and $H_\infty$ optimal control problem for linear quantum stochastic systems, where the controller itself is also a quantum system, often referred to as…

量子物理 · 物理学 2016-11-15 Lei Cui , Zhiyuan Dong , Guofeng Zhang , Heung Wing Joseph Lee

End-to-end engineering design pipelines, in which designs are evaluated using concurrently defined optimal controllers, are becoming increasingly common in practice. To discover designs that perform well even under the misspecification of…

系统与控制 · 电气工程与系统科学 2025-10-10 Yash Patel , Sahana Rayan , Ambuj Tewari

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…

最优化与控制 · 数学 2022-11-30 Zhaolin Ren , Yang Zheng , Maryam Fazel , Na Li

This paper presents a convex optimization-based solution to the design of state-feedback controllers for solving the linear quadratic regulator (LQR) problem of uncertain discrete-time systems with multiplicative noise. To synthesize a…

系统与控制 · 电气工程与系统科学 2022-05-17 Majid Mazouchi , Farzaneh Tatari , Hamidreza Modares

A method is presented for solving the discrete-time finite-horizon Linear Quadratic Regulator (LQR) problem subject to auxiliary linear equality constraints, such as fixed end-point constraints. The method explicitly determines an affine…

系统与控制 · 计算机科学 2018-09-18 Forrest Laine , Claire Tomlin

Linear Quadratic Regulator (LQR) design is one of the most classical optimal control problems, whose well-known solution is an input sequence expressed as a state-feedback. In this work, finite-horizon and discrete-time LQR is solved under…

最优化与控制 · 数学 2020-01-17 Anna Scampicchio , Aleksandr Aravkin , Gianluigi Pillonetto

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…

系统与控制 · 电气工程与系统科学 2025-05-13 Ramin Esmzad , Gokul S. Sankar , Teawon Han , Hamidreza Modares

In this paper, we define and solve the Inverse Stochastic Optimal Control (ISOC) problem of the linear-quadratic Gaussian (LQG) and the linear-quadratic sensorimotor (LQS) control model. These Stochastic Optimal Control (SOC) models are…

最优化与控制 · 数学 2022-11-01 Philipp Karg , Simon Stoll , Simon Rothfuß , Sören Hohmann

Current research suggests the use of a liner quadratic performance index for optimal control of regulators in various applications. Some examples include correcting the trajectory of rocket and air vehicles, vibration suppression of…

综合数学 · 数学 2007-05-23 Alexander Bolonkin , Robert Sierakowski

We study state-feedback design for continuous-time LTI systems with a control input and an external input-output pair. Our objective is to determine feedback gains that render the closed-loop system (strictly) passive with respect to the…

最优化与控制 · 数学 2026-05-07 Armin Gießler , Pol Jané-Soneira , Sören Hohmann

In this paper we provide direct data-driven expressions for the Linear Quadratic Regulator (LQR), the Kalman filter, and the Linear Quadratic Gaussian (LQG) controller using a finite dataset of noisy input, state, and output trajectories.…

最优化与控制 · 数学 2023-09-21 Abed AlRahman Al Makdah , Fabio Pasqualetti

This paper addresses the end-to-end sample complexity bound for learning the H2 optimal controller (the Linear Quadratic Gaussian (LQG) problem) with unknown dynamics, for potentially unstable Linear Time Invariant (LTI) systems. The robust…

系统与控制 · 电气工程与系统科学 2022-07-05 Yifei Zhang , Sourav Kumar Ukil , Ephraim Neimand , Serban Sabau , Myron E. Hohil

This study presents a technique to safely control the Sit-to-Stand movement of powered lower limb orthoses in the presence of parameter uncertainty. The weight matrices used to calculate the finite time horizon linear-quadratic regulator…

系统与控制 · 计算机科学 2020-11-26 Octavio Narvaez-Aroche , Andrew Packard , Murat Arcak

This paper is concerned with linear-quadratic-Gaussian (LQG) control for a field-mediated feedback connection of a plant and a coherent (measurement-free) controller. Both the plant and the controller are multimode open quantum harmonic…

系统与控制 · 电气工程与系统科学 2020-02-07 Igor G. Vladimirov , Ian R. Petersen
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