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The linear quadratic regulator (LQR) problem has reemerged as an important theoretical benchmark for reinforcement learning-based control of complex dynamical systems with continuous state and action spaces. In contrast with nearly all…

Machine Learning · Computer Science 2020-05-04 Benjamin Gravell , Peyman Mohajerin Esfahani , Tyler Summers

Hybrid microgrids integrating Grid-Following (GFL) and Grid-Forming (GFM) inverters present complex control challenges arising from the decoupling between long-term economic dispatch and real-time dynamic regulation, as well as the distinct…

Systems and Control · Electrical Eng. & Systems 2026-01-21 Lifu Ding , Chunhui Hou , Yutong Li , Qinmin Yang

Consider a linear quadratic regulator (LQR) problem being solved in a model-free manner using the policy gradient approach. If the gradient of the quadratic cost is being transmitted across a rate-limited channel, both the convergence and…

Optimization and Control · Mathematics 2024-09-20 Lintao Ye , Aritra Mitra , Vijay Gupta

We propose a computationally efficient approach to safe reinforcement learning (RL) for frequency regulation in power systems with high levels of variable renewable energy resources. The approach draws on set-theoretic control techniques to…

Systems and Control · Electrical Eng. & Systems 2022-03-24 Daniel Tabas , Baosen Zhang

Future power systems will include high shares of inverter-based generation. There is a general consensus that for allowing this transition, the Grid-Forming (GFM) control approach would be of great value. This article presents a GFM control…

Systems and Control · Electrical Eng. & Systems 2024-05-08 Julian Freytes , Antoine Rossé , Valentin Costan , Grégoire Prime

This article introduces two control frameworks: one for Grid-Following (GFL) inverters aiding Grid-Forming (GFM) inverters in voltage regulation during large contingency events and optimizing power transactions under normal conditions; and…

Systems and Control · Electrical Eng. & Systems 2024-03-25 Jaesang Park , Alireza Askarian , Srinivasa Salapaka

Inverter-based distributed energy resources provide the possibility for fast time-scale voltage control by quickly adjusting their reactive power. The power-electronic interfaces allow these resources to realize almost arbitrary control…

Systems and Control · Electrical Eng. & Systems 2021-10-05 Wenqi Cui , Jiayi Li , Baosen Zhang

Distributional reinforcement learning (DRL) enhances the understanding of the effects of the randomness in the environment by letting agents learn the distribution of a random return, rather than its expected value as in standard RL. At the…

Optimization and Control · Mathematics 2023-03-27 Zifan Wang , Yulong Gao , Siyi Wang , Michael M. Zavlanos , Alessandro Abate , Karl H. Johansson

The paradigm shift in the electric power grid necessitates a revisit of existing control methods to ensure the grid's security and resilience. In particular, the increased uncertainties and rapidly changing operational conditions in power…

Systems and Control · Electrical Eng. & Systems 2020-11-20 Thanh Long Vu , Sayak Mukherjee , Tim Yin , Renke Huang , and Jie Tan , Qiuhua Huang

With widespread deployment of renewables, the electric power grids are experiencing increasing dynamics and uncertainties, with its secure operation being threatened. Existing frequency control schemes based on day-ahead offline analysis…

Systems and Control · Electrical Eng. & Systems 2022-02-02 Yi Zhou , Liangcai Zhou , Di Shi , Xiaoying Zhao

Grid-connected inverters are required to operate stably under a wide range of grid conditions. However, conventional grid-following (GFL) control may suffer from instability under weak-grid conditions, while grid-forming (GFM) control may…

Systems and Control · Electrical Eng. & Systems 2026-04-07 Zirui Wang , Yitong Li , Quanchi Wu , Jinjun Liu

Inverter-based resources (IBRs) are becoming increasingly prevalent in power systems. Due to the inherently low inertia of inverters, there is a heightened risk of disruptive voltage oscillations. A particular challenge in the operation of…

Systems and Control · Electrical Eng. & Systems 2023-11-21 Zixiao Ma , Baosen Zhang

Reinforcement learning (RL) is used to directly design a control policy using data collected from the system. This paper considers the robustness of controllers trained via model-free RL. The discussion focuses on the standard model-based…

Systems and Control · Computer Science 2019-04-09 Harish K. Venkataraman , Peter J. Seiler

As more inverter-connected renewable resources are integrated into the grid, frequency stability may degrade because of the reduction in mechanical inertia and damping. A common approach to mitigate this degradation in performance is to use…

Systems and Control · Electrical Eng. & Systems 2021-12-30 Wenqi Cui , Yan Jiang , Baosen Zhang

We explore the use of policy gradient methods in reinforcement learning for quantum control via energy landscape shaping of XX-Heisenberg spin chains in a model agnostic fashion. Their performance is compared to finding controllers using…

Quantum Physics · Physics 2022-07-19 I. Khalid , C. A. Weidner , E. A. Jonckheere , S. G. Schirmer , F. C. Langbein

This paper considers the problem of solving constrained reinforcement learning (RL) problems with anytime guarantees, meaning that the algorithmic solution must yield a constraint-satisfying policy at every iteration of its evolution. Our…

Systems and Control · Electrical Eng. & Systems 2025-10-03 Pol Mestres , Arnau Marzabal , Jorge Cortés

This paper studies the robustness of reinforcement learning algorithms to errors in the learning process. Specifically, we revisit the benchmark problem of discrete-time linear quadratic regulation (LQR) and study the long-standing open…

Optimization and Control · Mathematics 2021-03-16 Bo Pang , Zhong-Ping Jiang

Deep reinforcement learning (RL) has been recognized as a promising tool to address the challenges in real-time control of power systems. However, its deployment in real-world power systems has been hindered by a lack of formal stability…

Systems and Control · Electrical Eng. & Systems 2021-10-01 Yuanyuan Shi , Guannan Qu , Steven Low , Anima Anandkumar , Adam Wierman

This paper presents a model-free reinforcement learning (RL) algorithm to solve the risk-averse optimal control (RAOC) problem for discrete-time nonlinear systems. While successful RL algorithms have been presented to learn optimal control…

Systems and Control · Electrical Eng. & Systems 2021-03-29 Yuzhen Han , Majid Mazouchi , Subramanya Nageshrao , Hamidreza Modares

This paper proposes a cascading failure mitigation strategy based on Reinforcement Learning (RL). The motivation of the Multi-Stage Cascading Failure (MSCF) problem and its connection with the challenge of climate change are introduced. The…

Machine Learning · Computer Science 2021-08-25 Yongli Zhu