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We consider the problem of learning the optimal policy for Markov decision processes with safety constraints. We formulate the problem in a reach-avoid setup. Our goal is to design online reinforcement learning algorithms that ensure safety…

Machine Learning · Computer Science 2026-01-21 Abhijit Mazumdar , Rafal Wisniewski , Manuela L. Bujorianu

The constrained version of the standard online convex optimization (OCO) framework, called COCO is considered, where on every round, a convex cost function and a convex constraint function are revealed to the learner after it chooses the…

Machine Learning · Computer Science 2025-02-11 Rahul Vaze , Abhishek Sinha

We study the problem of online non-stochastic control (ONC), which is the control of a linear system under adversarial disturbances and adversarial cost functions, with the aim of minimizing the total cost incurred. A recent line of…

Optimization and Control · Mathematics 2026-04-21 Vijeth Hebbar , Spencer Hutchinson , Mahnoosh Alizadeh , Cédric Langbort

Online Feedback Optimization (OFO) controllers steer a system to its optimal operating point by treating optimization algorithms as auxiliary dynamic systems. Implementation of OFO controllers requires setting the parameters of the…

Systems and Control · Electrical Eng. & Systems 2024-03-12 Marta Zagorowska , Lukas Ortmann , Alisa Rupenyan , Mehmet Mercangoez , Lars Imsland

We investigate the real-time voltage regulation problem in distribution systems employing online feedback optimization (OFO) with short-range communication between physical neighbours. OFO does not need an accurate grid model nor estimated…

Systems and Control · Electrical Eng. & Systems 2025-07-16 Sen Zhan , Nikolaos G. Paterakis , Wouter van den Akker , Anne van der Molen , Johan Morren , Han Slootweg

We study a generalization of the Online Convex Optimization (OCO) framework with time-varying adversarial constraints. In this setting, at each round, the learner selects an action from a convex decision set $X$, after which both a convex…

Machine Learning · Computer Science 2026-03-30 Dhruv Sarkar , Aprameyo Chakrabartty , Subhamon Supantha , Palash Dey , Abhishek Sinha

This paper investigates the problem of regret minimization in linear time-varying (LTV) dynamical systems. Due to the simultaneous presence of uncertainty and non-stationarity, designing online control algorithms for unknown LTV systems…

Machine Learning · Computer Science 2022-06-07 Yuzhen Han , Ruben Solozabal , Jing Dong , Xingyu Zhou , Martin Takac , Bin Gu

In this paper, we develop a novel virtual-queue-based online algorithm for online convex optimization (OCO) problems with long-term and time-varying constraints and conduct a performance analysis with respect to the dynamic regret and…

Optimization and Control · Mathematics 2021-11-16 Qingsong Liu , Wenfei Wu , Longbo Huang , Zhixuan Fang

We consider the problem of Online Convex Optimization (OCO) with two-point bandit feedback. In this setting, a player attempts to minimize a sequence of adversarially generated convex loss functions, while only observing the value of each…

Machine Learning · Computer Science 2026-04-07 Haishan Ye

The increasing electric power consumption and the shift towards renewable energy resources demand for new ways to operate transmission and subtransmission grids. Online Feedback Optimization (OFO) is a feedback real-time control method that…

Systems and Control · Electrical Eng. & Systems 2025-12-08 Lukas Ortmann , Jean Maeght , Patrick Panciatici , Florian Dörfler , Saverio Bolognani

Recently, there has been a surge in interest in safe and robust techniques within reinforcement learning (RL). Current notions of risk in RL fail to capture the potential for systemic failures such as abrupt stoppages from system failures…

Systems and Control · Computer Science 2019-10-09 David Mguni

Adaptive filter in complex scenarios demands algorithms that integrate fast convergence, low complexity, and robust performance under diverse noise conditions. To address this challenge, we propose a online censoring robust total…

Signal Processing · Electrical Eng. & Systems 2026-05-19 Yi Peng , Haiquan Zhao , Jinhui Hu

This paper investigates the reinforcement learning (RL) based disturbance rejection control for uncertain nonlinear systems having non-simple nominal models. An extended state observer (ESO) is first designed to estimate the system state…

Dynamical Systems · Mathematics 2020-11-25 Maopeng Ran , Juncheng Li , Lihua Xie

This paper presents an improved active disturbance rejection control scheme (IFO-ADRC) with an improved fractional-order extended state observer (IFO-ESO). The structural information of the system is utilized in IFO-ESO rather than buried…

Systems and Control · Electrical Eng. & Systems 2021-12-13 Bolin Li , Lijun Zhu

Projection operations are a typical computation bottleneck in online learning. In this paper, we enable projection-free online learning within the framework of Online Convex Optimization with Memory (OCO-M) -- OCO-M captures how the history…

Machine Learning · Computer Science 2023-04-03 Hongyu Zhou , Zirui Xu , Vasileios Tzoumas

Resilient operation of the power system during ongoing wildfires is challenging because of the uncertain ways in which the fires impact the electric power infrastructure (multiple arc-faults, complete melt-down). To address this challenge,…

Systems and Control · Electrical Eng. & Systems 2024-04-22 Satyaprajna Sahoo , Anamitra Pal

Diffraction limited resolution adaptive optics (AO) correction in visible wavelengths requires a high performance control. In this paper we investigate infinite impulse response filters that optimize the wavefront correction: we tested…

Instrumentation and Methods for Astrophysics · Physics 2015-06-05 G. Agapito , C. Arcidiacono , F. Quirós-Pacheco , A. Puglisi , S. Esposito

An important challenge in the online convex optimization (OCO) setting is to incorporate generalized inequalities and time-varying constraints. The inclusion of constraints in OCO widens the applicability of such algorithms to dynamic and…

Optimization and Control · Mathematics 2024-06-03 Jean-Luc Lupien , Iman Shames , Antoine Lesage-Landry

In this paper, we present Federated Robust Curvature Optimization (FedRCO), a novel second-order optimization framework designed to improve convergence speed and reduce communication cost in Federated Learning systems under statistical…

Machine Learning · Computer Science 2026-03-31 Yuanqiao Zhang , Tiantian He , Yuan Gao , Yixin Wang , Yew-Soon Ong , Maoguo Gong , A. K. Qin , Hui Li

Currently, reinforcement learning (RL), especially deep RL, has received more and more attention in the research area. However, the security of RL has been an obvious problem due to the attack manners becoming mature. In order to defend…

Machine Learning · Computer Science 2023-10-04 Jiarui Yao , Simon Shaolei Du