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We discuss the feedback control problem for a two-dimensional two-phase Stefan problem. In our approach, we use a sharp interface representation in combination with mesh-movement to track the interface position. To attain a feedback…

Numerical Analysis · Mathematics 2022-12-22 Björn Baran , Peter Benner , Jens Saak

This paper designs H2 and H-infinity distributed controllers with local communication and local disturbance rejection. We propose a two-step procedure: first, select closed-loop poles; then, optimize over parameterized controllers. We build…

Systems and Control · Electrical Eng. & Systems 2026-04-06 Yaozhi Du , Jing Shuang Li

The stabilization of unstable nonlinear systems and tracking control are challenging engineering problems due to the encompassed nonlinearities in dynamic systems and their scale. In the past decades, numerous observer-based control designs…

Systems and Control · Electrical Eng. & Systems 2021-04-22 Sebastian A. Nugroho , Suyash C. Vishnoi , Ahmad F. Taha , Christian G. Claudel

System level synthesis enables improved robust MPC formulations by allowing for joint optimization of the nominal trajectory and controller. This paper introduces a tailored algorithm for solving the corresponding disturbance feedback…

Optimization and Control · Mathematics 2024-09-05 Antoine P. Leeman , Johannes Köhler , Florian Messerer , Amon Lahr , Moritz Diehl , Melanie N. Zeilinger

In this paper we are introducing a new reinforcement learning method for control problems in environments with delayed feedback. Specifically, our method employs stochastic planning, versus previous methods that used deterministic planning.…

Machine Learning · Computer Science 2024-02-02 Zhiyuan Yao , Ionut Florescu , Chihoon Lee

This paper studies the boundary feedback stabilization of a class of diagonal infinite-dimensional boundary control systems. In the studied setting, the boundary control input is subject to a constant delay while the open loop system might…

Optimization and Control · Mathematics 2020-12-29 Hugo Lhachemi , Christophe Prieur

We consider state-feedback predictor-based control of networked control systems with large time-varying communication delays. We show that even a small controller-to-actuators delay uncertainty may lead to a non-small residual error in a…

Optimization and Control · Mathematics 2016-11-07 A. Selivanov , E. Fridman

This paper investigates stable suboptimal H-infinity controllers for a class of single-input single-output time-delay systems. For a given plant and weighting functions, the optimal controller minimizing the mixed sensitivity (and the…

Systems and Control · Electrical Eng. & Systems 2020-03-17 Suat Gumussoy , Hitay Ozbay

A key motivation in the development of Distributed Model Predictive Control (DMPC) is to accelerate centralized Model Predictive Control (MPC) for large-scale systems. DMPC has the prospect of scaling well by parallelizing computations…

Optimization and Control · Mathematics 2025-04-16 Gösta Stomberg , Maurice Raetsch , Alexander Engelmann , Timm Faulwasser

This paper is concerned with the linear quadratic (LQ) optimal control of continuous-time system with terminal state constraint. In particular, multiple agents exist in the system which can only access partial information of the matrix…

Optimization and Control · Mathematics 2025-10-21 Wenjing Yang , Zhaorong Zhang , Juanjuan Xu

This paper presents a robust secondary control strategy for frequency synchronization and active power sharing for inverter-based microgrids. The problem is addressed in a multi-agent fashion where the local controllers of the distributed…

Systems and Control · Electrical Eng. & Systems 2023-07-27 Milad Gholami , Gianni Bianchini , Antonio Vicino

We study the synchronization and stability of power grids within the Kuramoto phase oscillator model with inertia with a bimodal frequency distribution representing the generators and the loads. We identify critical nodes through solitary…

Adaptation and Self-Organizing Systems · Physics 2019-12-18 Halgurd Taher , Simona Olmi , Eckehard Schöll

Designing the optimal linear quadratic regulator (LQR) for a large-scale multi-agent system (MAS) is time-consuming since it involves solving a large-size matrix Riccati equation. The situation is further exasperated when the design needs…

Systems and Control · Electrical Eng. & Systems 2021-03-18 Gangshan Jing , He Bai , Jemin George , Aranya Chakrabortty

Feedback controlled ratchets are thermal rectifiers that use information on the state of the system to operate. We study the effects of time delays in the feedback for a protocol that performs an instantaneous maximization of the…

Statistical Mechanics · Physics 2008-04-13 F. J. Cao , M. Feito

A method is presented for solving the discrete-time finite-horizon Linear Quadratic Regulator (LQR) problem subject to auxiliary linear equality constraints, such as fixed end-point constraints. The method explicitly determines an affine…

Systems and Control · Computer Science 2018-09-18 Forrest Laine , Claire Tomlin

Linearising the dynamics of nonlinear mechanical systems is an important and open research area. A common approach is feedback linearisation, which is a nonlinear control method that transforms the input-output response of a nonlinear…

Systems and Control · Electrical Eng. & Systems 2025-02-05 Merijn Floren , Koen Classens , Tom Oomen , Jean-Philippe Noël

Distributed model predictive control (DMPC) is a flexible and scalable feedback control method applicable to a wide range of systems. While the stability analysis of DMPC is quite well understood, there exist only limited implementation…

Systems and Control · Electrical Eng. & Systems 2025-11-05 Gösta Stomberg , Henrik Ebel , Timm Faulwasser , Peter Eberhard

Solving an output consensus problem in multi-agent systems is often hindered by multiple time-variant delays. To address such fundamental problems over time, we present a new optimal time-variant distributed control for linearly perturbed…

Systems and Control · Electrical Eng. & Systems 2023-02-28 Milad Gholami

We apply a recently proposed method for the analysis of time series from systems with delayed feedback to experimental data generated by a CO_2 laser. The method is able to estimate the delay time with an error of the order of the sampling…

chao-dyn · Physics 2009-10-31 M. J. Bünner , M. Ciofini , A. Giaquinta , R. Hegger , H. Kantz , R. Meucci , A. Politi

This article explores the discrete-time stochastic optimal LQR control with delay and quadratic constraints. The inclusion of delay, compared to delay-free optimal LQR control with quadratic constraints, significantly increases the…

Optimization and Control · Mathematics 2024-11-19 Dawei Liu , Juanjuan Xu , huanshui Zhang