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Related papers: Sensing-Constrained LQG Control

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Efficiently controlling linear Gaussian quantum (LGQ) systems is a significant task in both the study of fundamental quantum theory and the development of modern quantum technology. Here, we propose a general quantum-learning-control method…

Quantum Physics · Physics 2024-06-11 Yu-Hong Liu , Yexiong Zeng , Qing-Shou Tan , Daoyi Dong , Franco Nori , Jie-Qiao Liao

A finite horizon linear quadratic(LQ) optimal control problem is studied for a class of discrete-time linear fractional systems (LFSs) affected by multiplicative, independent random perturbations. Based on the dynamic programming technique,…

Optimization and Control · Mathematics 2016-07-01 J. J. Trujillo , V. M. Ungureanu

This paper is concerned with the linear quadratic optimal control of discrete-time time-varying system with terminal state constraint. The main contribution is to propose a Q-learning algorithm for the optimal controller when the…

Optimization and Control · Mathematics 2023-07-20 Juanjuan Xu , Jingmei Liu , Zhaorong Zhang , Wei Wang

We study the problem of designing a state feedback linear quadratic Gaussian (LQG) controller for a system in which the system matrices as well as the process noise covariance are unknown. We do a rigorous comparison between two approaches.…

Systems and Control · Electrical Eng. & Systems 2025-11-13 Mingxiang Liu , Damián Marelli , Minyue Fu , Qianqian Cai

This letter explores intelligent scheduling of sensor-to-controller communication in networked control systems, particularly when data transmission incurs a cost. While the optimal controller in a standard linear quadratic Gaussian (LQG)…

Systems and Control · Electrical Eng. & Systems 2025-12-02 Zahra Hashemi , Dipankar Maity

We study the task of learning state representations from potentially high-dimensional observations, with the goal of controlling an unknown partially observable system. We pursue a cost-driven approach, where a dynamic model in some latent…

Machine Learning · Computer Science 2026-03-10 Yi Tian , Kaiqing Zhang , Russ Tedrake , Suvrit Sra

This paper is concerned with the coherent quantum linear-quadratic-Gaussian control problem of minimising an infinite-horizon mean square cost for a measurement-free field-mediated interconnection of a quantum plant with a stabilising…

Quantum Physics · Physics 2022-11-15 Igor G. Vladimirov , Ian R. Petersen

In this paper, we consider the problem of tracking a reference trajectory for a simplified car model based on unicycle kinematics, whose position only is measured, and where the control input and the measurements are corrupted by…

Robotics · Computer Science 2014-06-19 Sébastien Diemer , Silvère Bonnabel

This paper is concerned with the linear quadratic (LQ) optimal control of continuous-time system with terminal state constraint. In particular, multiple agents exist in the system which can only access partial information of the matrix…

Optimization and Control · Mathematics 2025-10-21 Wenjing Yang , Zhaorong Zhang , Juanjuan Xu

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…

Quantum Physics · Physics 2012-06-19 Guofeng Zhang , Heung Wing Joseph Lee , Bo Huang , Hu Zhang

In this paper we consider the distributed linear quadratic control problem for networks of agents with single integrator dynamics. We first establish a general formulation of the distributed LQ problem and show that the optimal control gain…

Optimization and Control · Mathematics 2019-05-14 Junjie Jiao , Harry L. Trentelman , M. Kanat Camlibel

This paper studies the learning-to-control problem under process and sensing uncertainties for dynamical systems. In our previous work, we developed a data-based generalization of the iterative linear quadratic regulator (iLQR) to design…

Robotics · Computer Science 2023-11-09 Ran Wang , Raman Goyal , Suman Chakravorty

This paper is concerned with a constrained stochastic linear-quadratic optimal control problem, in which the terminal state is fixed and the initial state is constrained to lie in a stochastic linear manifold. The controllability of…

Optimization and Control · Mathematics 2019-06-11 Xiuchun Bi , Jingrui Sun , Jie Xiong

This paper describes the design of a linear quadratic gaussian (LQG) for trajectory tracking control of UAV Bicopter. In this work, disturbance in the form of payload significantly affects the trajectory tracking control process on the UAV…

Systems and Control · Electrical Eng. & Systems 2023-09-18 Fahmizal , Hanung Adi Nugroho , Adha Imam Cahyadi , Igi Ardiyanto

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…

Optimization and Control · Mathematics 2020-01-17 Anna Scampicchio , Aleksandr Aravkin , Gianluigi Pillonetto

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

This paper investigates a conditional mean-field type linear quadratic (LQ) optimal control problem with partial observation and regime switching, where the conditional expectations of the state and control given the history of Markov chain…

Optimization and Control · Mathematics 2025-12-22 Zhongbin Guo , Guangchen Wang

We consider the problem of planning under observation and motion uncertainty for nonlinear robotics systems. Determining the optimal solution to this problem, generally formulated as a Partially Observed Markov Decision Process (POMDP), is…

Robotics · Computer Science 2017-07-11 Mohammadhussein Rafieisakhaei , Suman Chakravorty , P. R. Kumar

We study in this paper a class of constrained linear-quadratic (LQ) optimal control problem formulations for the scalar-state stochastic system with multiplicative noise, which has various applications, especially in the financial risk…

Systems and Control · Computer Science 2017-09-19 Weipin Wu , Jianjun Gao , Duan Li , Yun Shi

We consider a variant of the classical linear quadratic Gaussian regulator (LQG) in which penalties on the endpoint state are replaced by the specification of the terminal state distribution. The resulting theory considerably differs from…

Optimization and Control · Mathematics 2015-03-18 Yongxin Chen , Tryphon Georgiou , Michele Pavon