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An optimal control law for networked control systems with a discrete-time linear time-invariant (LTI) system as plant and networks between sensor and controller as well as between controller and actuator is proposed. This controller is…

系统与控制 · 电气工程与系统科学 2021-07-09 Marijan Palmisano , Martin Steinberger , Martin Horn

Unlike traditional model-based reinforcement learning approaches that estimate system parameters from data, non-model-based data-driven control learns the optimal policy directly from input-state data without any intermediate model…

最优化与控制 · 数学 2026-05-05 Leilei Cui , Zhong-Ping Jiang , Petter N. Kolm , Grégoire G. Macqueron

In the course of the energy transition, the expansion of generation and consumption will change, and many of these technologies, such as PV systems, electric cars and heat pumps, will influence the power flow, especially in the distribution…

In this paper, we introduce a reduced order model-based reinforcement learning (MBRL) approach, utilizing the Iterative Linear Quadratic Regulator (ILQR) algorithm for the optimal control of nonlinear partial differential equations (PDEs).…

系统与控制 · 电气工程与系统科学 2025-01-14 Aayushman Sharma , Suman Chakravorty

This paper studies the linear quadratic regulator (LQR) problem over an unknown Bernoulli packet loss channel. The unknown loss rate is estimated using finite channel samples and a certainty-equivalence (CE) optimal controller is then…

系统与控制 · 电气工程与系统科学 2025-06-17 Zhenning Zhang , Liang Xu , Yilin Mo , Xiaofan Wang

This paper is concerned with optimal control of stochastic fully coupled forward-backward linear quadratic (FBLQ) problems with indefinite control weight costs. In order to obtain the state feedback representation of the optimal control, we…

最优化与控制 · 数学 2019-02-27 Mingshang Hu , Shaolin Ji , Xiaole Xue

The goal of this paper is to solve a class of stochastic optimal control problems numerically, in which the state process is governed by an It\^o type stochastic differential equation with control process entering both in the drift and the…

最优化与控制 · 数学 2020-06-05 Richard Archibald , Feng Bao , Jiongmin Yong , Tao Zhou

Model-based reinforcement learning is an effective approach for controlling an unknown system. It is based on a longstanding pipeline familiar to the control community in which one performs experiments on the environment to collect a…

系统与控制 · 电气工程与系统科学 2024-08-14 Bruce D. Lee , Ingvar Ziemann , George J. Pappas , Nikolai Matni

This paper addresses the optimal control problem of finite-horizon discrete-time nonlinear systems under state and control constraints. A novel numerical algorithm based on optimal control theory is proposed to achieve superior…

最优化与控制 · 数学 2025-03-21 Chuanzhi Lv , Hongdan Li , Huanshui Zhang

A linear-quadratic (LQ, for short) optimal control problem is considered for mean-field stochastic differential equations with constant coefficients in an infinite horizon. The stabilizability of the control system is studied followed by…

最优化与控制 · 数学 2012-08-28 Jianhui Huang , Xun Li , Jiongmin Yong

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…

最优化与控制 · 数学 2025-03-19 Paolo Acquistapace , Francesca Bucci

We propose a novel approach to solving input- and state-constrained parametric mixed-integer optimal control problems using Differentiable Predictive Control (DPC). Our approach follows the differentiable programming paradigm by learning an…

系统与控制 · 电气工程与系统科学 2025-06-25 Ján Boldocký , Shahriar Dadras Javan , Martin Gulan , Martin Mönnigmann , Ján Drgoňa

We examine the problem of two-point boundary optimal control of nonlinear systems over finite-horizon time periods with unknown model dynamics by employing reinforcement learning. We use techniques from singular perturbation theory to…

最优化与控制 · 数学 2023-06-12 Vasanth Reddy , Hoda Eldardiry , Almuatazbellah Boker

In this paper, we present the combined learning-and-control (CLC) approach, which is a new way to solve optimal control problems with unknown dynamics by unifying model-based control and data-driven learning. The key idea is simple: we…

系统与控制 · 电气工程与系统科学 2025-10-02 Panagiotis Kounatidis , Andreas A. Malikopoulos

This paper introduces a generalization of the well-known Riccati recursion for solving the discrete-time equality-constrained linear quadratic optimal control problem. The recursion can be used to compute the solutions as well as optimal…

最优化与控制 · 数学 2024-12-31 Lander Vanroye , Joris De Schutter , Wilm Decré

This paper introduces a novel fractional-order chemostat model (FOCM) incorporating Caputo fractional derivative with sliding memory (CFDS) to capture microbial memory effects in biological water treatment, addressing limitations of…

最优化与控制 · 数学 2025-11-25 Kareem T. Elgindy , Muneerah Al Nuwairan , Liew Siaw Ching

The goal of this paper is to develop data-driven control design and evaluation strategies based on linear matrix inequalities (LMIs) and dynamic programming. We consider deterministic discrete-time LTI systems, where the system model is…

最优化与控制 · 数学 2021-06-17 Donghwan Lee , Do Wan Kim

We use a rough path-based approach to investigate the degeneracy problem in the context of pathwise control. We extend the framework developed in arXiv:1902.05434 to treat admissible controls from a suitable class of H\"older continuous…

最优化与控制 · 数学 2025-11-20 Andrea Iannucci , Dan Crisan , Thomas Cass

This paper proposes a reinforcement learning (RL) algorithm for infinite horizon $\rm {H_{2}/H_{\infty}}$ problem in a class of stochastic discrete-time systems, rather than using a set of coupled generalized algebraic Riccati equations…

最优化与控制 · 数学 2023-11-28 Xiushan Jiang , Li Wang , Dongya Zhao , Ling Shi

This paper focuses on indefinite stochastic mean-field linear-quadratic (MF-LQ, for short) optimal control problems, which allow the weighting matrices for state and control in the cost functional to be indefinite. The solvability of…

最优化与控制 · 数学 2020-12-02 Na Li , Xun Li , Zhiyong Yu