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Model order reduction involves constructing a reduced-order approximation of a high-order model while retaining its essential characteristics. This reduced-order model serves as a substitute for the original one in various applications such…

Systems and Control · Electrical Eng. & Systems 2024-03-06 Qiu-Yan Song , Umair Zulfiqar , Zhi-Hua Xiao , Mohammad Monir Uddin , Victor Sreeram

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

Learning methods are increasingly used to synthesize controllers from data, yet existing sample-complexity characterizations for continuous control are sharp only in the fully observed setting. This paper studies the partially observed case…

Systems and Control · Electrical Eng. & Systems 2026-05-19 Bruce D. Lee , Anastasios Tsiamis , Nikolai Matni , Manfred Morari , John Lygeros

We propose a new framework to design controllers for high-dimensional nonlinear systems. The control is designed through the iterative linear quadratic regulator (ILQR), an algorithm that computes control by iteratively applying the linear…

Optimization and Control · Mathematics 2021-10-12 Yizhe Huang , Boris Kramer

We propose a new risk-constrained formulation of the classical Linear Quadratic (LQ) stochastic control problem for general partially-observed systems. Our framework is motivated by the fact that the risk-neutral LQ controllers, although…

Optimization and Control · Mathematics 2021-12-15 Anastasios Tsiamis , Dionysios S. Kalogerias , Alejandro Ribeiro , George J. Pappas

We consider the static output feedback control for Linear Quadratic Regulator problems with structured constraints under the assumption that system parameters are unknown. To solve the problem in the model free setting, we propose the…

Optimization and Control · Mathematics 2023-03-21 Shokichi Takakura , Kazuhiro Sato

Robust global stabilization of nonlinear systems by observer-based feedback controllers is a challenging task. This article investigates the problem of designing observer-based stabilizing controllers for incrementally quadratic nonlinear…

Optimization and Control · Mathematics 2020-07-17 Xiangru Xu , Behcet Acikmese , Martin J. Corless

We consider the problem of controlling a possibly unknown linear dynamical system with adversarial perturbations, adversarially chosen convex loss functions, and partially observed states, known as non-stochastic control. We introduce a…

Machine Learning · Computer Science 2020-06-26 Max Simchowitz , Karan Singh , Elad Hazan

This paper studies the stochastic optimal control problem for systems with unknown dynamics. First, an open-loop deterministic trajectory optimization problem is solved without knowing the explicit form of the dynamical system. Next, a…

Systems and Control · Computer Science 2017-05-30 Dan Yu , Mohammadhussein Rafieisakhaei , Suman Chakravorty

Planning under motion and observation uncertainties requires solution of a stochastic control problem in the space of feedback policies. In this paper, we reduce the general (n^2+n)-dimensional belief space planning problem to an…

Robotics · Computer Science 2016-08-12 Mohammadhussein Rafieisakhaei , Suman Chakravorty , P. R. Kumar

We study output tracking and disturbance rejection for an Euler-Bernoulli beam with Kelvin-Voigt damping. The system has distributed control and pointwise observation. As our main result we design a finite-dimensional low-order internal…

Optimization and Control · Mathematics 2023-03-01 Lassi Paunonen , Duy Phan

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

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

Stabilizing an unknown control system is one of the most fundamental problems in control systems engineering. In this paper, we provide a simple, model-free algorithm for stabilizing fully observed dynamical systems. While model-free…

Systems and Control · Electrical Eng. & Systems 2021-10-14 Juan C. Perdomo , Jack Umenberger , Max Simchowitz

Stability is one of the most fundamental requirements for systems synthesis. In this paper, we address the stabilization problem for unknown linear systems via policy gradient (PG) methods. We leverage a key feature of PG for Linear…

Optimization and Control · Mathematics 2021-12-20 Feiran Zhao , Xingyun Fu , Keyou You

We study the problem of adaptive control in partially observable linear quadratic Gaussian control systems, where the model dynamics are unknown a priori. We propose LqgOpt, a novel reinforcement learning algorithm based on the principle of…

Machine Learning · Computer Science 2020-06-25 Sahin Lale , Kamyar Azizzadenesheli , Babak Hassibi , Anima Anandkumar

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…

Systems and Control · Electrical Eng. & Systems 2020-02-07 Igor G. Vladimirov , Ian R. Petersen

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

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

We consider the problem of controlling a linear dynamical system from bilinear observations with minimal quadratic cost. Despite the similarity of this problem to standard linear quadratic Gaussian (LQG) control, we show that when the…

Optimization and Control · Mathematics 2025-10-23 Yahya Sattar , Sunmook Choi , Yassir Jedra , Maryam Fazel , Sarah Dean