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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

We study the Linear-Quadratic optimal control problem for a general class of infinite-dimensional passive systems, allowing for unbounded input and output operators. We show that under mild assumptions, the finite cost condition is always…

Optimization and Control · Mathematics 2025-06-05 Anthony Hastir , Birgit Jacob

The paper presents a hybrid system controller, incorporating a neural and an LQG controller. The neural controller has been optimized by genetic algorithms directly on the inverted pendulum system. The failure free optimization process…

Neural and Evolutionary Computing · Computer Science 2007-05-23 E. S. Sazonov , P. Klinkhachorn , R. L. Klein

This paper develops a novel approach to the consensus problem of multi-agent systems by minimizing a weighted state error with neighbor agents via linear quadratic (LQ) optimal control theory. Existing consensus control algorithms only…

Optimization and Control · Mathematics 2024-03-19 Liping Zhang , Juanjuan Xu , Huanshui Zhang , Lihua Xie

Static structured control refers to the task of designing a state-feedback controller such that the control gain satisfies a subspace constraint. Structured control has applications in control of communication-inhibited dynamical systems,…

Optimization and Control · Mathematics 2024-11-19 Jared Miller , Jaap Eising , Florian Dörfler , Roy S. Smith

The optimal control of a water reservoir systems represents a challenging problem, due to uncertain hydrologic inputs and the need to adapt to changing environment and varying control objectives. In this work, we propose a real-time…

Systems and Control · Electrical Eng. & Systems 2021-03-26 Pauline Kergus , Simone Formentin , Matteo Giuliani , Andrea Castelletti

A common approach to distributed control design is to impose sparsity constraints on the controller structure. Such constraints, however, may greatly complicate the control design procedure. This paper puts forward an alternative structure,…

Systems and Control · Computer Science 2013-12-31 Daria Madjidian , Leonid Mirkin

We consider a decentralized system with multiple controllers and define substitutability of one controller by another in open-loop strategies. We explore the implications of this property on the optimization of closed-loop strategies. In…

Systems and Control · Computer Science 2016-01-12 Seyed Mohammad Asghari , Ashutosh Nayyar

We consider the problem of recommending resilient and predictive actions for an IoT network in the presence of faulty components, considering the presence of human operators manipulating the information of the environment the agent sees for…

Machine Learning · Computer Science 2020-06-09 Maria Grammatopoulou , Aris Kanellopoulos , Kyriakos G. ~Vamvoudakis , Nathan Lau

Machine learning has become a fundamental approach for modeling, prediction, and control, enabling systems to learn from data and perform complex tasks. Reservoir computing is a machine learning tool that leverages high-dimensional…

Systems and Control · Electrical Eng. & Systems 2026-05-12 Sahand Tangerami , Nicholas A. Mecholsky , Francesco Sorrentino

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

This paper presents a simulation-based comparison between the two controllers, Proportional Integral Derivative (PID), a classical controller and Linear Quadratic Regulator (LQR), an optimal controller, for a linearized quadrotor model. To…

Systems and Control · Electrical Eng. & Systems 2020-09-29 Prathamesh Saraf , Manan Gupta , Alivelu Manga Parimi

This paper presents a controller design and optimization framework for nonlinear dynamic systems to track a given reference signal in the presence of disturbances when the task is repeated over a finite-time interval. This novel framework…

Systems and Control · Electrical Eng. & Systems 2023-04-04 Jiapeng Xu , Ying Tan , Xiang Chen

In this paper, we study the social optimality for mean field linear quadratic control systems following the direct approach, where subsystems are coupled via individual dynamics and costs according to a network topology. A graph is…

Optimization and Control · Mathematics 2022-08-30 Yong Liang , Bingchang Wang , Huanshui Zhang

This paper is concerned with the distributed linear quadratic optimal control problem. In particular, we consider a suboptimal version of the distributed optimal control problem for undirected multi-agent networks. Given a multi-agent…

Optimization and Control · Mathematics 2018-03-08 Junjie Jiao , Harry L. Trentelman , M. Kanat Camlibel

Stochastic control deals with finding an optimal control signal for a dynamical system in a setting with uncertainty, playing a key role in numerous applications. The linear quadratic Gaussian (LQG) is a widely-used setting, where the…

Systems and Control · Electrical Eng. & Systems 2022-10-26 Solomon Goldgraber Casspi , Oliver Husser , Guy Revach , Nir Shlezinger

For various typical cases and situations where the formulation results in an optimal control problem, the Linear Quadratic Regulator (LQR) approach and its variants continue to be highly attractive. In certain scenarios, it can happen that…

Optimization and Control · Mathematics 2023-02-14 Jun Ma , Zilong Cheng , Xiaocong Li , Wenxin Wang , Masayoshi Tomizuka , Tong Heng Lee

The convergence of policy gradient algorithms in reinforcement learning hinges on the optimization landscape of the underlying optimal control problem. Theoretical insights into these algorithms can often be acquired from analyzing those of…

Machine Learning · Computer Science 2023-11-01 Jingliang Duan , Wenhan Cao , Yang Zheng , Lin Zhao

The development of well-devised irrigation scheduling methods is desirable from the perspectives of plant quality and water conservation. In this article, a model predictive control (MPC) with discrete actuators is developed for irrigation…

Systems and Control · Electrical Eng. & Systems 2021-12-14 Bernard T. Agyeman , Soumya R. Sahoo , Jinfeng Liu , Sirish L. Shah

We consider optimal control of decentralized LQG problems for plants controlled by two players having asymmetric information sharing patterns between them. In one scenario, players are assumed to have a bidirectional error-free, unlimited…

Optimization and Control · Mathematics 2016-12-01 Naumaan Nayyar , Dileep Kalathil , Rahul Jain
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