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This paper formulates adaptive controller design as a minimax dual control problem. The objective is to design a controller that minimizes the worst-case performance over a set of uncertain systems. The uncertainty is described by a set of…

Optimization and Control · Mathematics 2024-09-09 Olle Kjellqvist , Anders Rantzer

The problem of robust distributed control arises in several large-scale systems, such as transportation networks and power grid systems. In many practical scenarios controllers might not have enough information to make globally optimal…

Systems and Control · Computer Science 2019-09-26 Luca Furieri , Maryam Kamgarpour

We consider the problem of voltage stability and reactive power balancing in islanded small-scale electrical networks outfitted with DC/AC inverters ("microgrids"). A droop-like voltage feedback controller is proposed which is quadratic in…

Optimization and Control · Mathematics 2017-09-21 John W. Simpson-Porco , Florian Dorfler , Francesco Bullo

In recent years, microgrids, i.e., disconnected distribution systems, have received increasing interest from power system utilities to support the economic and resiliency posture of their systems. The economics of long distance transmission…

Optimization and Control · Mathematics 2019-07-22 Sai Krishna Kanth Hari , Kaarthik Sundar , Harsha Nagarajan , Russell Bent , Scott Backhaus

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

This paper proposes an online data-driven Koopman-inspired identification and control method for microgrid secondary voltage and frequency control. Unlike typical data-driven methods, the proposed method requires no warm-up training yet…

Systems and Control · Electrical Eng. & Systems 2024-02-15 Xun Gong , Xiaozhe Wang

This paper proposes a robust control design method using reinforcement-learning for controlling partially-unknown dynamical systems under uncertain conditions. The method extends the optimal reinforcement-learning algorithm with a new…

Systems and Control · Electrical Eng. & Systems 2020-04-17 Phuong D. Ngo , Fred Godtliebsen

Many embedded real-time control systems suffer from resource constraints and dynamic workload variations. Although optimal feedback scheduling schemes are in principle capable of maximizing the overall control performance of multitasking…

Other Computer Science · Computer Science 2008-12-18 Feng Xia , Yu-Chu Tian , Youxian Sun , Jinxiang Dong

This paper addresses the design of robust dynamic output feedback control for highly uncertain systems in which the unknown disturbance might be excited by the derivative of the control input. This context appears in many industrial…

Systems and Control · Computer Science 2016-10-20 Mazen Alamir , Jean Dobrowolski , Amgad tarek Mohammed

This paper presents the experimental validation of a grid-aware real-time control method for hybrid AC/DC microgrids. The optimal control is leveraged by the voltage sensitivity coefficients (SC) that are computed analytically using the…

Systems and Control · Electrical Eng. & Systems 2023-11-02 Willem Lambrichts , Jules Mace , Mario Paolone

Recent work linking deep neural networks and dynamical systems opened up new avenues to analyze deep learning. In particular, it is observed that new insights can be obtained by recasting deep learning as an optimal control problem on…

Optimization and Control · Mathematics 2020-07-21 Weinan E , Jiequn Han , Qianxiao Li

In this paper, we present a novel method for computing the optimal feedback gain of the infinite-horizon Linear Quadratic Regulator (LQR) problem via an ordinary differential equation. We introduce a novel continuous-time Bellman error,…

Systems and Control · Electrical Eng. & Systems 2026-04-17 Armin Gießler , Albertus Johannes Malan , Sören Hohmann

Stabilizing feedback operators are presented which depend only on the orthogonal projection of the state onto the finite-dimensional control space. A class of monotone feedback operators mapping the finite-dimensional control space into…

Optimization and Control · Mathematics 2025-03-10 Karl Kunisch , Sérgio S. Rodrigues , Daniel Walter

An adaptive controller is proposed and analyzed for the class of infinite-horizon optimal control problems in positive linear systems presented in (Ohlin et al., 2024b). This controller is derived from the solution of a "data-driven…

Optimization and Control · Mathematics 2025-04-22 Fethi Bencherki , Anders Rantzer

We consider the problem of active fault-tolerant control in cyber-physical systems composed of strictly passive linear-time invariant dynamic subsystems. We cast the problem as a constrained optimization problem and propose an augmented…

Systems and Control · Electrical Eng. & Systems 2026-02-10 Wasif H. Syed , Juan E. Machado , Johannes Schiffer

This paper develops a sequential-linearization feedback optimization framework for driving nonlinear dynamical systems to an optimal steady state. A fundamental challenge in feedback optimization is the requirement of accurate first-order…

Optimization and Control · Mathematics 2025-07-22 Shijie Huang , Sergio Grammatico

In this article, we consider a fundamental decentralized optimal control problem, which we call the two-player problem. Two subsystems are interconnected in a nested information pattern, and output feedback controllers must be designed for…

Systems and Control · Computer Science 2015-07-10 Laurent Lessard , Sanjay Lall

The paper describes a continuous second-variation algorithm to solve optimal control problems where the control is defined on a closed set. A second order expansion of a Lagrangian provides linear updates of the control to construct a…

Optimization and Control · Mathematics 2011-09-27 Joris T. Olympio

Feedback optimization optimizes the steady state of a dynamical system by implementing optimization iterations in closed loop with the plant. It relies on online measurements and limited model information, namely, the input-output…

Optimization and Control · Mathematics 2025-09-09 Winnie Chan , Zhiyu He , Keith Moffat , Saverio Bolognani , Michael Muehlebach , Florian Dörfler

We propose a machine learning algorithm for solving finite-horizon stochastic control problems based on a deep neural network representation of the optimal policy functions. The algorithm has three features: (1) It can solve…

General Economics · Economics 2024-12-09 Xianhua Peng , Steven Kou , Lekang Zhang