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In this paper, a novel distributed controller for multimachine power systems is proposed to guarantee grid frequency restoration and accurate real and reactive power sharing among the generator units, while maintaining the generator inputs…

Systems and Control · Electrical Eng. & Systems 2024-02-15 Theodoros E. Kavvathas , George C. Konstantopoulos , Charalambos Konstantinou

We will present a new general framework for robust and adaptive control that allows for distributed and scalable learning and control of large systems of interconnected linear subsystems. The control method is demonstrated for a linear…

Systems and Control · Computer Science 2019-04-02 Dimitar Ho , John C. Doyle

This paper deals with distributed control of microgrids composed of storages, generators, renewable energy sources, critical and controllable loads. We consider a stochastic formulation of the optimal control problem associated to the…

Optimization and Control · Mathematics 2021-06-16 Andrea Camisa , Giuseppe Notarstefano

In this work, we propose a compositional scheme based on small-gain reasoning to synthesize safety controllers for interconnected stochastic hybrid systems. In our proposed setting, we first offer an augmented scheme that characterizes each…

Systems and Control · Electrical Eng. & Systems 2026-04-14 Mahdieh Zaker , Omid Akbarzadeh , Behrad Samari , Abolfazl Lavaei

In this paper, we design a controller for an interconnected system where a linear Stochastic Differential Equation (SDE) is actuated through a linear parabolic heat equation. These dynamics arise in various applications, such as coupled…

Analysis of PDEs · Mathematics 2025-04-03 Gabriel Velho , Jean Auriol , Islam Boussaada , Riccardo Bonalli

This paper presents a characterization of distributed controllers subject to delay constraints induced by a strongly connected communication graph that achieve a prescribed closed loop $\mathcal{H}_\infty$ norm. Inspired by the solution to…

Optimization and Control · Mathematics 2014-02-11 Nikolai Matni

This work is concerned with the finite-horizon optimal covariance steering of networked systems governed by discrete-time stochastic linear dynamics. In contrast with existing work that has only considered systems with dynamically decoupled…

Optimization and Control · Mathematics 2025-04-29 Ahmed Khalil , Yoonjae Lee , Efstathios Bakolas

We a controlled system driven by a coupled forward-backward stochastic differential equation (FBSDE) with a non degenerate diffusion matrix. The cost functional is defined by the solution of the controlled backward stochastic differential…

Optimization and Control · Mathematics 2017-02-02 Khaled Bahlali , Omar Kebiri , Brahim Mezerdi , Ahmed Mtiraoui

The large-scale integration of inverter-interfaced renewable energy sources presents significant challenges to maintaining power balance and nominal frequency in modern power systems. This paper studies grid-level coordinated control of…

Systems and Control · Electrical Eng. & Systems 2026-05-05 Xiaoyang Wang , Xin Chen

The control Lyapunov function (CLF) approach to nonlinear control design is well established. Moreover, when the plant is control affine and polynomial, sum-of-squares (SOS) optimization can be used to find a polynomial controller as a…

Optimization and Control · Mathematics 2024-09-16 Jason J. Bramburger , Steven Dahdah , James Richard Forbes

In this paper, a data-driven approach is developed for controller design for a class of discrete-time large-scale systems, where a large-scale system can be expressed in an equivalent data-driven form and the decentralized controllers can…

Systems and Control · Electrical Eng. & Systems 2024-11-18 Jiaping Liao , Shuaizheng Lu , Tao Wang , Weiming Xiang

This paper presents a novel method to synthesize stochastic control Lyapunov functions for a class of nonlinear, stochastic control systems. In this work, the classical nonlinear Hamilton-Jacobi-Bellman partial differential equation is…

Optimization and Control · Mathematics 2016-11-17 Yoke Peng Leong , Matanya B. Horowitz , Joel W. Burdick

We present an optimization-based framework for analysis and control of linear parabolic partial differential equations (PDEs) with spatially varying coefficients without discretization or numerical approximation. For controller synthesis,…

Systems and Control · Computer Science 2016-09-06 Aditya Gahlawat , Matthew M. Peet

Control of networked systems, comprised of interacting agents, is often achieved through modeling the underlying interactions. Constructing accurate models of such interactions--in the meantime--can become prohibitive in applications.…

Systems and Control · Electrical Eng. & Systems 2023-11-17 Siavash Alemzadeh , Shahriar Talebi , Mehran Mesbahi

Learning-based control techniques use data from past trajectories to control systems with uncertain dynamics. However, learning-based controllers are often computationally inefficient, limiting their practicality. To address this…

Systems and Control · Electrical Eng. & Systems 2026-04-28 Tobias A. Farger , Adam W. Hall , Angela P. Schoellig

We present a multi-rate control architecture that leverages fundamental properties of differential flatness to synthesize controllers for safety-critical nonlinear dynamical systems. We propose a two-layer architecture, where the high-level…

Systems and Control · Electrical Eng. & Systems 2024-09-21 Devansh R. Agrawal , Hardik Parwana , Ryan K. Cosner , Ugo Rosolia , Aaron D. Ames , Dimitra Panagou

In this paper, we develop a novel dynamic distributed optimal safe consensus protocol to simultaneously achieve safety requirements and output optimal consensus. Specifically, we construct a distributed projection optimization algorithm…

Optimization and Control · Mathematics 2024-01-15 Ji Ma , Shu Liang , Yiguang Hong

Key predistribution schemes for distributed sensor networks have received significant attention in the recent literature. In this paper we propose a new construction method for these schemes based on combinations of duals of standard block…

Cryptography and Security · Computer Science 2011-08-02 Mausumi Bose , Aloke Dey , Rahul Mukerjee

Optimal controller synthesis is a bilinear problem and hence difficult to solve in a computationally efficient manner. We are able to resolve this bilinearity for systems with delay by first convexifying the problem in infinite-dimensions -…

Systems and Control · Computer Science 2018-07-13 Matthew M. Peet

We discuss control of bittide distributed systems, which are designed to provide logical synchronization between networked machines by observing data flow rates between adjacent systems at the physical network layer and controlling local…

Systems and Control · Electrical Eng. & Systems 2022-04-04 Sanjay Lall , Calin Cascaval , Martin Izzard , Tammo Spalink