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We propose a primal--dual technique that applies to infinite dimensional equality constrained problems, in particular those arising from optimal control. As an application of our general framework, we solve a control-constrained double…

Optimization and Control · Mathematics 2023-11-14 Regina S. Burachik , C. Yalçın Kaya , Xuemei Liu

This article proposes a distributed secondary control scheme that drives a dc microgrid to an equilibrium point where the generators share optimal currents, and their voltages have a weighted average of nominal value. The scheme does not…

Optimization and Control · Mathematics 2023-01-23 Babak Abdolmaleki , Gilbert Bergna-Diaz

This paper deals with analysis, simultaneous detection of faults and attacks, fault-tolerant control and attack-resilient of cyber-physical control systems. In our recent work, it has been observed that an attack detector driven by an input…

Systems and Control · Electrical Eng. & Systems 2026-01-14 Linlin Li , Steven X. Ding , Maiying Zhong , Dong Zhao , Yang Shi

In this paper we consider a general, challenging distributed optimization set-up arising in several important network control applications. Agents of a network want to minimize the sum of local cost functions, each one depending on a local…

Systems and Control · Computer Science 2018-06-15 Ivano Notarnicola , Giuseppe Notarstefano

Primal-dual methods for solving convex optimization problems with functional constraints often exhibit a distinct two-stage behavior. Initially, they converge towards a solution at a sublinear rate. Then, after a certain point, the method…

Optimization and Control · Mathematics 2026-02-12 Mateo Díaz , Pedro Izquierdo Lehmann , Haihao Lu , Jinwen Yang

Microgrids have more operational flexibilities as well as uncertainties than conventional power grids, especially when renewable energy resources are utilized. An energy storage based feedback controller can compensate undesired dynamics of…

Systems and Control · Electrical Eng. & Systems 2022-03-10 Tianwei Xia , Kai Sun , Wei Kang

This paper proposes an approach to addresses the control challenges posed by a fault-induced uncertainty in both the dynamics and control input effectiveness of a class of hierarchical nonlinear systems in which the high-level dynamics is…

Optimization and Control · Mathematics 2021-08-10 Sina Ameli , Olugbenga Moses Anubi

To coordinate the interests of operator and users in a microgrid under complex and changeable operating conditions, this paper proposes a microgrid scheduling model considering the thermal flexibility of thermostatically controlled loads…

Systems and Control · Electrical Eng. & Systems 2024-12-25 Yang Li , Jiankai Gao , Yuanzheng Li , Chen Chen , Sen Li , Mohammad Shahidehpour , Zhe Chen

In Part I of this paper we propose a decentralized optimal frequency control of multi-area power system with operational constraints, where the tie-line powers remain unchanged in the steady state and the power mismatch is balanced within…

Systems and Control · Computer Science 2017-03-02 Zhaojian Wang , Feng Liu , Steven H. Low , Changhong Zhao , Shengwei Mei

This paper studies secondary frequency control in transmission networks subject to communication delays at the cyber-physical interface and limited per-update computation at the control center. The regulation objective is formulated as a…

Systems and Control · Electrical Eng. & Systems 2026-05-12 Yiwei Liu , Luwei Yang , Shunbo Lei

Deep Reinforcement Learning (DRL) has become a popular method for solving control problems in power systems. Conventional DRL encourages the agent to explore various policies encoded in a neural network (NN) with the goal of maximizing the…

Systems and Control · Electrical Eng. & Systems 2024-10-28 Tong Wu , Anna Scaglione , Daniel Arnold

Frequency stability is fundamental to the secure operation of power systems. With growing uncertainty and volatility introduced by renewable generation, secondary frequency regulation must now deliver enhanced performance not only in the…

Systems and Control · Electrical Eng. & Systems 2026-03-11 Yixuan Yu , Rajni K. Bansal , Yan Jiang , Pengcheng You

This paper considers a nonconvex optimization problem that evolves over time, and addresses the synthesis and analysis of regularized primal-dual gradient methods to track a Karush-Kuhn-Tucker (KKT) trajectory. The proposed regularized…

Optimization and Control · Mathematics 2018-12-04 Yujie Tang , Emiliano Dall'Anese , Andrey Bernstein , Steven Low

Integration of Inverter Based Resources (IBRs) which lack the intrinsic characteristics such as the inertial response of the traditional synchronous-generator (SG) based sources presents a new challenge in the form of analyzing the grid…

Optimization and Control · Mathematics 2024-07-31 Satish Vedula , Ayobami Olajube , Olugbenga Anubi

The increasing penetration of distributed energy resources and power-electronics interfaces in DC microgrids, coupled with rising cyber threats, necessitates primary controllers that are provably safe, cyber-resilient, and practical. The…

Systems and Control · Electrical Eng. & Systems 2025-09-05 Muratkhan Abdirash , Xiaofan Cui

In power distribution systems, the growing penetration of renewable energy resources brings new challenges to maintaining voltage safety, which is further complicated by the limited model information of distribution systems. To address…

Optimization and Control · Mathematics 2021-03-30 Xin Chen , Jorge I. Poveda , Na Li

Different from most transactive control studies only focusing on economic aspect, this paper develops a novel network-constrained transactive control (NTC) framework that can address both economic and secure issues for a…

Optimization and Control · Mathematics 2020-11-09 Xiaodong Yang , Zehao Song , Jinyu Wen , Chongbo Xu , Qiuwei Wu , Youbing Zhang , Menglin Zhang , Shijie Cheng

In this paper, we study a constrained network flow problem and associated networked dynamics that resemble but are distinct from the well-known primal-dual dynamics of the constrained flow problem. Crucially, under a change of coordinates,…

Systems and Control · Electrical Eng. & Systems 2025-07-03 Amirhossein Iraniparast , Dominic Groß

This paper considers the problem of regulating a dynamical system to equilibria that are defined as solutions of an input- and state-constrained optimization problem. To solve this regulation task, we design a state feedback controller…

Systems and Control · Electrical Eng. & Systems 2023-12-14 Yiting Chen , Liliaokeawawa Cothren , Jorge Cortes , Emiliano Dall'Anese

Anomaly detection plays a vital role in the security and safety of cyber-physical control systems, and accurately distinguishing between different anomaly types is crucial for system recovery and mitigation. This study proposes a dual…

Systems and Control · Electrical Eng. & Systems 2025-10-17 Xixing Xue , Dong Shen , Steven X. Ding , Dong Zhao