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A stochastic Model Predictive Control strategy for control systems with communication networks between the sensor node and the controller and between the controller and the actuator node is proposed. Data packets are subject to random…

Systems and Control · Electrical Eng. & Systems 2025-01-30 Marijan Palmisano , Martin Steinberger , Martin Horn

Consider a control problem with a communication channel connecting the observer of a linear stochastic system to the controller. The goal of the controller is to minimize a quadratic cost function in the state variables and control signal,…

Information Theory · Computer Science 2018-11-27 Victoria Kostina , Babak Hassibi

We study model-free learning methods for the output-feedback Linear Quadratic (LQ) control problem in finite-horizon subject to subspace constraints on the control policy. Subspace constraints naturally arise in the field of distributed…

Systems and Control · Electrical Eng. & Systems 2021-07-14 Luca Furieri , Yang Zheng , Maryam Kamgarpour

We study the problem of adaptive control of the linear quadratic regulator for systems in very high, or even infinite dimension. We demonstrate that while sublinear regret requires finite dimensional inputs, the ambient state dimension of…

Optimization and Control · Mathematics 2021-07-16 Juan C. Perdomo , Max Simchowitz , Alekh Agarwal , Peter Bartlett

This paper considers a set of multiple independent control systems that are each connected over a non-stationary wireless channel. The goal is to maximize control performance over all the systems through the allocation of transmitting power…

Optimization and Control · Mathematics 2019-03-27 Mark Eisen , Konstantinos Gatsis , George J. Pappas , Alejandro Ribeiro

This paper proposes a Recurrent Neural Network (RNN) controller for lane-keeping systems, effectively handling model uncertainties and disturbances. First, quadratic constraints cover the nonlinearities brought by the RNN controller, and…

Systems and Control · Electrical Eng. & Systems 2023-09-19 Ying Shuai Quan , Jin Sung Kim , Chung Choo Chung

We propose controller synthesis for state regulation problems in which a human operator shares control with an autonomy system, running in parallel. The autonomy system continuously improves over human action, with minimal intervention, and…

Systems and Control · Computer Science 2019-09-23 Murad Abu-Khalaf , Sertac Karaman , Daniela Rus

Inspired by REINFORCE, we introduce a novel receding-horizon algorithm for the Linear Quadratic Regulator (LQR) problem with unknown dynamics. Unlike prior methods, our algorithm avoids reliance on two-point gradient estimates while…

Optimization and Control · Mathematics 2025-10-07 Amirreza Neshaei Moghaddam , Alex Olshevsky , Bahman Gharesifard

When models are inaccurate, the performance of model-based control will degrade. For linear quadratic control, an event-triggered learning framework is proposed that automatically detects inaccurate models and triggers the learning of a new…

Systems and Control · Electrical Eng. & Systems 2022-07-19 Henning Schlüter , Friedrich Solowjow , Sebastian Trimpe

This paper presents a new robust data-driven predictive control scheme for unknown linear time-invariant systems by using input-state-output or input-output data based on whether the state is measurable. To remove the need for the…

Systems and Control · Electrical Eng. & Systems 2024-01-17 Kaijian Hu , Tao Liu

A study of the linear quadratic (LQ) control problem on a finite time interval for a model equation in Hilbert spaces which comprehends the memory of the inputs was performed recently by the authors. The outcome included a closed-loop…

Optimization and Control · Mathematics 2025-03-19 Paolo Acquistapace , Francesca Bucci

This work investigates robust monotonic convergent iterative learning control (ILC) for uncertain linear systems in both time and frequency domains, and the ILC algorithm optimizing the convergence speed in terms of $l_{2}$ norm of error…

Systems and Control · Electrical Eng. & Systems 2021-01-19 Lanlan Su

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 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…

Quantum Physics · Physics 2016-11-15 Lei Cui , Zhiyuan Dong , Guofeng Zhang , Heung Wing Joseph Lee

This paper is concerned with a linear-quadratic (LQ, for short) optimal control problem for backward stochastic differential equations (BSDEs, for short), where the coefficients of the backward control system and the weighting matrices in…

Optimization and Control · Mathematics 2021-05-14 Jingrui Sun , Hanxiao Wang

The Linear Quadratic Regulator (LQR) framework considers the problem of regulating a linear dynamical system perturbed by environmental noise. We compute the policy regret between three distinct control policies: i) the optimal online…

Optimization and Control · Mathematics 2020-02-10 Gautam Goel , Babak Hassibi

``Sim2real gap", in which the system learned in simulations is not the exact representation of the real system, can lead to loss of stability and performance when controllers learned using data from the simulated system are used on the real…

Systems and Control · Electrical Eng. & Systems 2025-05-15 Shivam Bajaj , Prateek Jaiswal , Vijay Gupta

This paper concerns a class of uncertain linear quantum systems subject to quadratic perturbations in the system Hamiltonian. A small gain approach is used to evaluate the performance of the given quantum system. In order to get improved…

Systems and Control · Computer Science 2015-08-12 Chengdi Xiang , Ian R. Petersen , Daoyi Dong

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 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
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