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This article proposes a data-driven $H_{\infty}$ control scheme for time-domain constrained systems based on model predictive control formulation. The scheme combines $H_{\infty}$ control and minimax model predictive control, enabling more…

Optimization and Control · Mathematics 2025-03-18 Wenhuang Wu , Lulu Guo , Nan Li , Hong Chen

Reinforcement learning is widely used in applications where one needs to perform sequential decisions while interacting with the environment. The problem becomes more challenging when the decision requirement includes satisfying some safety…

Machine Learning · Computer Science 2022-07-15 Qinbo Bai , Amrit Singh Bedi , Mridul Agarwal , Alec Koppel , Vaneet Aggarwal

Security-Constrained Optimal Power Flow (SCOPF) plays a crucial role in power grid stability but becomes increasingly complex as systems grow. This paper introduces PDL-SCOPF, a self-supervised end-to-end primal-dual learning framework for…

Machine Learning · Computer Science 2024-04-30 Seonho Park , Pascal Van Hentenryck

This paper presents a non-linear stability analysis for dc-microgrids in both, interconnected mode and island operation with primary control. The proposed analysis is based on the fact that the dynamical model of the grid is a gradient…

Optimization and Control · Mathematics 2019-01-07 Alejandro Garces

In this paper we develop novel results on self triggering control of nonlinear systems, subject to perturbations and actuation delays. First, considering an unperturbed nonlinear system with bounded actuation delays, we provide conditions…

Optimization and Control · Mathematics 2011-08-29 M. D. Di Benedetto , S. Di Gennaro , A. D'Innocenzo

A timely, accurate, and secure dynamic state estimation is needed for reliable monitoring and efficient control of microgrids. The synchrophasor technology enables us to obtain synchronized measurements in real-time and to develop dynamic…

Systems and Control · Electrical Eng. & Systems 2019-08-19 Dariush Fooladivanda , Qie Hu , Young Hwan Chang , Peter Sauer

In this paper, we consider a network of agents that jointly aim to minimise the sum of local functions subject to coupling constraints involving all local variables. To solve this problem, we propose a novel solution based on a primal-dual…

Optimization and Control · Mathematics 2025-02-11 Mohamed Abdelmouamin Messilem , Guido Carnevale , Ruggero Carli

A finite horizon optimal tracking problem is considered for linear dynamical systems subject to parametric uncertainties in the state-space matrices and exogenous disturbances. A suboptimal solution is proposed using a model predictive…

Optimization and Control · Mathematics 2022-02-08 Anilkumar Parsi , Andrea Iannelli , Roy S. Smith

We consider the problem of designing a feedback controller that guides the input and output of a linear time-invariant system to a minimizer of a convex optimization problem. The system is subject to an unknown disturbance that determines…

Optimization and Control · Mathematics 2018-10-10 Liam S. P. Lawrence , Zachary E. Nelson , Enrique Mallada , John W. Simpson-Porco

We consider the primal and dual forms of the optimality conditions for PDE-contrained optimization problems arising in Data-Driven Computational Mechanics when specialized to the reaction-diffusion context. Starting with the continuous…

Numerical Analysis · Mathematics 2025-12-24 Ramon Codina , Roberto Federico Ausas , Pedro Balbão Bazon , Cristian Guillermo Gebhardt

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

This paper proposes a novel robust reinforcement learning framework for discrete-time linear systems with model mismatch that may arise from the sim-to-real gap. A key strategy is to invoke advanced techniques from control theory. Using the…

Systems and Control · Electrical Eng. & Systems 2023-12-07 Leilei Cui , Tamer Başar , Zhong-Ping Jiang

Suboptimal methods in optimal control arise due to a limited computational budget, unknown system dynamics, or a short prediction window among other reasons. Although these methods are ubiquitous, their transient performance remains…

Systems and Control · Electrical Eng. & Systems 2025-04-08 Aren Karapetyan , Efe C. Balta , Andrea Iannelli , John Lygeros

Prior work on automatic control synthesis for cyber-physical systems under logical constraints has primarily focused on environmental disturbances or modeling uncertainties, however, the impact of deliberate and malicious attacks has been…

Systems and Control · Electrical Eng. & Systems 2019-07-25 Luyao Niu , Andrew Clark

This paper develops a robust fixed time optimization framework for constrained problems that guarantees exact constraint satisfaction and convergence to KKT points within fixed time , independent of initial conditions. The approach treats…

Optimization and Control · Mathematics 2026-05-27 Baby Diana , Priyanka Singh , Shyam Kamal , Sandip Ghosh , Bijnan Bandyopadhyay

This paper presents a constraint-enforcing control framework for a class of discrete-time strict-feedback nonlinear systems. The objective is to guarantee closed-loop stability while ensuring forward invariance of a prescribed safe set…

Optimization and Control · Mathematics 2026-04-29 Jhon Manuel Portella Delgado , Ankit Goel

As the integration of digital technologies and communication systems continues within distribution grids, new avenues emerge to tackle energy transition challenges. Nevertheless, this deeper technological immersion amplifies the necessity…

Cryptography and Security · Computer Science 2024-12-06 Omer Sen , Nathalie Bleser , Andreas Ulbig

This paper proposes a framework for secure and resilient controller design for positive systems against cyber-attacks. In particular, we consider a network-controlled system where an adversary injects false data into the actuator channels…

Systems and Control · Electrical Eng. & Systems 2026-05-12 Alba Gurpegui , Sribalaji C. Anand , André M. H. Teixeira

Linear approximation commonly used in solving alternating-current optimal power flow (AC-OPF) simplifies the system models but incurs accumulated voltage errors in large power networks. Such errors will make the primal-dual type gradient…

Optimization and Control · Mathematics 2023-06-08 Heng Liang , Xinyang Zhou , Changhong Zhao

An Adaptive Fault-tolerant Controller procedure for a class of the affine nonlinear system is developed in this paper. This methodology hides both the faults and external disturbances. Compare to the procedure that require separate fault…

Systems and Control · Electrical Eng. & Systems 2020-03-31 S. Narges Mahdian Zadeh , Reza Ghasemi
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