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This article introduces a novel framework for data-driven linear quadratic regulator (LQR) design. First, we introduce a reinforcement learning paradigm for on-policy data-driven LQR, where exploration and exploitation are simultaneously…

系统与控制 · 电气工程与系统科学 2024-02-23 Marco Borghesi , Alessandro Bosso , Giuseppe Notarstefano

Koopman operator theory yields powerful tools for modeling, analysis, and control of nonlinear dynamical systems. Prominently, linear time-invariant (LTI) Koopman representations have been proposed to enable the application of linear…

最优化与控制 · 数学 2026-05-29 Johannes Heeg , Karl Worthmann

Event-triggered Control (ETC) presents a promising paradigm for efficient resource usage in networked and embedded control systems by reducing communication instances compared to traditional time-triggered strategies. This paper introduces…

系统与控制 · 电气工程与系统科学 2025-04-22 Zeyad M. Manaa , Ayman M. Abdallah , Mohamed Ismail , Samil El Ferik

The interconnected power system presents a great challenge to both system analyzers and control designers. The load-frequency control (LFC) problem has gained much importance because of the complexity and size of modern interconnected power…

系统与控制 · 计算机科学 2019-03-11 A. Bensenouci , A. M. Abdel Ghany

As the penetration of intermittent energy sources grows substantially, loads will be required to play an increasingly important role in compensating the fast time-scale fluctuations in generated power. Recent numerical modeling of…

统计力学 · 物理学 2012-04-13 Soumya Kundu , Nikolai Sinitsyn , Scott Backhaus , Ian Hiskens

Koopman Model Predictive Control (MPC) uses a lifted linear predictor to efficiently handle constrained nonlinear systems. While constraint satisfaction and (practical) asymptotic stability have been studied, explicit guarantees of local…

最优化与控制 · 数学 2025-11-05 Xu Shang , Jorge Cortés , Yang Zheng

Linear-quadratic regulator (LQR) is a landmark problem in the field of optimal control, which is the concern of this paper. Generally, LQR is classified into state-feedback LQR (SLQR) and output-feedback LQR (OLQR) based on whether the full…

最优化与控制 · 数学 2024-04-16 Lechen Feng , Yuan-Hua Ni

We present a direct data-driven approach to synthesize robust control invariant (RCI) sets and their associated gain-scheduled feedback control laws for linear parameter-varying (LPV) systems subjected to bounded disturbances. A data-set…

系统与控制 · 电气工程与系统科学 2023-11-06 Manas Mejari , Ankit Gupta , Dario Piga

Feedback control problems involving autonomous quadratic systems are prevalent, yet there are only a limited number of software tools available for approximating their solution due to the complexity of the problem. This paper represents a…

最优化与控制 · 数学 2019-10-09 Jeff Borggaard , Lizette Zietsman

This work addresses the problem of transient stabilization of a power grid, following a destabilizing disturbance. The model considered is the cascade interconnection of seven New England test models with the disturbance (e.g., a powerline…

最优化与控制 · 数学 2018-03-29 Milan Korda , Yoshihiko Susuki , Igor Mezić

This paper develops a methodology for adaptive data-driven Model Predictive Control (MPC) using Koopman operators. While MPC is ubiquitous in various fields of engineering, the controller performance can deteriorate if the modeling error…

最优化与控制 · 数学 2024-12-05 Daisuke Uchida , Karthik Duraisamy

This paper studies the robustness of policy iteration in the context of continuous-time infinite-horizon linear quadratic regulation (LQR) problem. It is shown that Kleinman's policy iteration algorithm is inherently robust to small…

系统与控制 · 电气工程与系统科学 2020-09-01 Bo Pang , Tao Bian , Zhong-Ping Jiang

In this paper, we propose a novel dynamic state-feedback controller for polytopic linear parameter-varying (LPV) systems with constant input matrix. The controller employs a projected gradient flow method to continuously improve its control…

系统与控制 · 电气工程与系统科学 2025-05-29 Armin Gießler , Felix Strehle , Jochen Illerhaus , Sören Hohmann

The Koopman operator approach for data-driven control design of a nonlinear system is on the rise because of its capability to capture the behaviours of global dynamics. However, the measurement noises of inputs and outputs will bias the…

系统与控制 · 电气工程与系统科学 2024-03-05 Tianyi He , Anuj Pal

This paper presents a data-driven solution to the discrete-time infinite horizon LQR problem. The state feedback gain is computed directly from a batch of input and state data collected from the plant. Simulation examples illustrate the…

最优化与控制 · 数学 2021-04-12 Gustavo R. Gonçalves da Silva , Alexandre S. Bazanella , Lucíola Campstrini

In this paper, a robust nonlinear control scheme is proposed for a nonlinear multi-input multi-output (MIMO) system subject to bounded time varying uncertainty which satisfies a certain integral quadratic constraint condition. The scheme…

系统与控制 · 计算机科学 2016-08-14 Obaid Ur Rehman , Ian R. Petersen , Barış Fidan

In this paper, the optimal power flow (OPF) problem is augmented to account for the costs associated with the load-following control of a power network. Load-following control costs are expressed through the linear quadratic regulator…

最优化与控制 · 数学 2018-01-19 Mohammadhafez Bazrafshan , Nikolaos Gatsis , Ahmad Taha , Joshua A. Taylor

In recent years data-driven analysis of dynamical systems has attracted a lot of attention and transfer operator techniques, namely, Perron-Frobenius and Koopman operators are being used almost ubiquitously. Since data is always obtained in…

系统与控制 · 电气工程与系统科学 2022-03-29 Subhrajit Sinha , Sai Pushpak Nandanoori , Jan Drgona , Draguna Vrabie

We present a data-driven shared control algorithm that can be used to improve a human operator's control of complex dynamic machines and achieve tasks that would otherwise be challenging, or impossible, for the user on their own. Our method…

机器人学 · 计算机科学 2020-06-15 Alexander Broad , Ian Abraham , Todd Murphey , Brenna Argall

Linear time-invariant control systems can be considered as finitely generated modules over the commutative principal ideal ring $\mathbb{R}[\frac{d}{dt}]$ of linear differential operators with respect to the time derivative. The Kalman…

最优化与控制 · 数学 2025-12-15 Cédric Join , Emmanuel Delaleau , Michel Fliess