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We study robust output regulation for parabolic partial differential equations and other infinite-dimensional linear systems with analytic semigroups. As our main results we show that robust output tracking and disturbance rejection for our…

Optimization and Control · Mathematics 2021-04-19 Lassi Paunonen , Duy Phan

Many Embedded Systems are indeed Software Based Control Systems, that is control systems whose controller consists of control software running on a microcontroller device. This motivates investigation on Formal Model Based Design approaches…

Systems and Control · Computer Science 2012-07-18 Vadim Alimguzhin , Federico Mari , Igor Melatti , Ivano Salvo , Enrico Tronci

This paper discusses the in-domain feedback stabilization of reaction-diffusion PDEs with Robin boundary conditions in the presence of an uncertain time- and spatially-varying delay in the distributed actuation. The proposed control design…

Optimization and Control · Mathematics 2021-08-18 Hugo Lhachemi , Christophe Prieur , Robert Shorten

This paper presents a boundary control scheme for prescribed-time (PT) stable of flexible string systems via backstepping method, and the dynamics of such systems modeled by Hamilton's principle is described as second-order hyperbolic…

Optimization and Control · Mathematics 2025-09-09 Chuan Zhang , He Yang , Fei Wang , Tuo Zhou

Time-delayed feedback control, attributed to Pyragas (1992 Physics Letters 170(6) 421-428), is a method known to stabilise periodic orbits in low dimensional chaotic dynamical systems. A system of the form…

Fluid Dynamics · Physics 2022-01-21 Dan Lucas , Tatsuya Yasuda

We consider controller design for robust output tracking and disturbance rejection for continuous-time periodic linear systems with periodic reference and disturbance signals. As our main results we present four different controllers: A…

Optimization and Control · Mathematics 2023-03-01 Lassi Paunonen

In this paper sensitivity minimization problem is considered for a class of unstable time delay systems. Our goal is to find a stable controller stabilizing the feedback system and giving rise to smallest H-infinity norm for the sensitivity…

Systems and Control · Electrical Eng. & Systems 2020-03-04 Suat Gumussoy , Hitay Ozbay

This paper considers the fixed-time control problem of a multi-agent system composed of a class of Euler-Lagrange dynamics with parametric uncertainty and a dynamic leader under a directed communication network. A distributed fixed-time…

Optimization and Control · Mathematics 2022-02-17 Yi Dong , Zhiyong Chen

In this note we consider a class of linear time invariant systems with infinitely many unstable modes. By using the parameterization of all stabilizing controllers and a data transformation, we show that H-infinity controllers for such…

Systems and Control · Electrical Eng. & Systems 2020-03-13 Suat Gumussoy , Hitay Ozbay

We propose an approach for the synthesis of robust and optimal feedback controllers for nonlinear PDEs. Our approach considers the approximation of infinite-dimensional control systems by a pseudospectral collocation method, leading to…

Optimization and Control · Mathematics 2019-05-16 Dante Kalise , Sudeep Kundu , Karl Kunisch

Atmospheric flight phase of a launch vehicle is utilized to evaluate the performance of an H-infinity controller in the presence of disturbances. Dynamics of the vehicle is linearly modeled using time-varying parameters. An operating point…

Systems and Control · Computer Science 2016-11-22 Antonio Graells , Francisco Carrabina

This paper develops a primal-dual dynamical system where the coefficients are designed in closed-loop way for solving a convex optimization problem with linear equality constraints. We first introduce a ``second-order primal" +…

Optimization and Control · Mathematics 2026-03-03 Huan Zhang , Xiangkai Sun , Shengjie Li , Kok Lay Teo

Designing optimal controllers for nonlinear dynamical systems often relies on reinforcement learning and adaptive dynamic programming (ADP) to approximate solutions of the Hamilton Jacobi Bellman (HJB) equation. However, these methods…

Optimization and Control · Mathematics 2025-11-27 Akash Vyas , Shreyas Kumar , Jayant Kumar Mohanta , Ravi Prakash

This paper considers a collection of networked nonlinear dynamical systems, and addresses the synthesis of feedback controllers that seek optimal operating points corresponding to the solution of network-wide constrained optimization…

Optimization and Control · Mathematics 2015-04-03 Emiliano Dall'Anese , Sairaj Dhople , Georgios B. Giannakis

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

In this paper we consider the problem of a multi-agent system achieving a formation in the presence of misbehaving or adversarial agents. We introduce a novel continuous time resilient controller to guarantee that normally behaving agents…

Systems and Control · Computer Science 2021-06-11 James Usevitch , Kunal Garg , Dimitra Panagou

We consider the problem of designing control protocols for nonlinear network systems affected by heterogeneous, time-varying delays and disturbances. For these networks, the goal is to reject polynomial disturbances affecting the agents and…

Optimization and Control · Mathematics 2023-03-14 Shihao Xie , Giovanni Russo

Considering discrete-time linear time-varying systems with unknown dynamics, controllers guaranteeing bounded closed-loop trajectories, optimal performance and robustness to process and measurement noise are designed via convex feasibility…

Optimization and Control · Mathematics 2023-05-19 Benita Nortmann , Thulasi Mylvaganam

A robust controller is developed for uncertain, second-order nonlinear systems subject to simultaneous unknown, time-varying state delays and known, time-varying input delays in addition to additive, sufficiently smooth disturbances. An…

Systems and Control · Computer Science 2017-07-25 Rushikesh Kamalapurkar , Nicholas Fischer , Serhat Obuz , Warren E. Dixon

When designing distributed controllers for large-scale systems, the actuation, sensing and communication architectures of the controller can no longer be taken as given. In particular, controllers implemented using dense architectures…

Optimization and Control · Mathematics 2015-09-22 Nikolai Matni