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This paper develops a control and estimation design for the one-phase Stefan problem. The Stefan problem represents a liquid-solid phase transition as time evolution of a temperature profile in a liquid-solid material and its moving…

Optimization and Control · Mathematics 2017-03-20 Shumon Koga , Mamadou Diagne , Miroslav Krstic

We provide a detailed proof of Proposition 3.1 in the paper titled ``Backstepping control of a class of space-time-varying linear parabolic PDEs via time invariant kernel functions''. In the paper titled ``Backstepping control of a class of…

Analysis of PDEs · Mathematics 2023-01-27 Qiaoling Chen , Jun Zheng , Guchuan Zhu

In this study, we implement a control method for stabilizing a ballbot that simultaneously follows a reference. A ballbot is a robot balancing on a spherical wheel where the single point of contact with the ground makes it omnidirectional…

Optimization and Control · Mathematics 2024-02-20 Dimitrios S. Karachalios , Hossam S. Abbas

This paper presents the control design of the two-phase Stefan problem. The two-phase Stefan problem is a representative model of liquid-solid phase transition by describing the time evolutions of the temperature profile which is divided by…

Optimization and Control · Mathematics 2019-05-31 Shumon Koga , Miroslav Krstic

We introduce general results on well-posedness and output regulation of regular linear systems with nonautonomous controllers. We present a generalization of the internal model principle for time-dependent controllers with asymptotically…

Optimization and Control · Mathematics 2022-04-12 Lassi Paunonen , Sepideh Afshar

In this paper, we establish a unified framework for subspace identification (SID) of linear parameter-varying (LPV) systems to estimate LPV state-space (SS) models in innovation form. This framework enables us to derive novel LPV SID…

Systems and Control · Electrical Eng. & Systems 2020-08-11 P. B. Cox , R. Tóth

This paper studies the problem of stabilization of a nonlinear system with time-varying delays in both sensing and actuation using event-triggered control. Our proposed strategy seeks to opportunistically minimize the number of control…

Systems and Control · Computer Science 2020-01-14 Erfan Nozari , Pavankumar Tallapragada , Jorge Cortés

This paper presents a systematic observer design methodology for a class of port-Hamiltonian (pH) systems with state-dependent input matrices. Such systems can model a wide range of electromechanical systems, including magnetic levitation…

Optimization and Control · Mathematics 2026-04-06 Filippo Ugolini , Ning Liu , Yongxin Wu , Yann Le Gorrec , Alessandro Macchelli

We address the output regulation problem of linear systems with non-smooth and non-periodic exogenous signals. Specifically, we first formulate and solve the full-information problem by designing a state-feedback controller. We study the…

Systems and Control · Electrical Eng. & Systems 2025-05-28 Zirui Niu , Daniele Astolfi , Giordano Scarciotti

The Stefan problem is a classical free-boundary problem that models phase-change processes and poses computational challenges due to its moving interface and nonlinear temperature-phase coupling. In this work, we develop a physics-informed…

Computational Physics · Physics 2025-12-17 Che-Chia Chang , Te-Sheng Lin , Ming-Chih Lai

We propose a general Variational Embedding Learning Framework (VELF) for alleviating the severe cold-start problem in CTR prediction. VELF addresses the cold start problem via alleviating over-fits caused by data-sparsity in two ways:…

Information Retrieval · Computer Science 2022-01-27 Xiaoxiao Xu , Chen Yang , Qian Yu , Zhiwei Fang , Jiaxing Wang , Chaosheng Fan , Yang He , Changping Peng , Zhangang Lin , Jingping Shao

The increasing demands for motion control result in a situation where Linear Parameter-Varying (LPV) dynamics have to be taken into account. Inverse-model feedforward control for LPV motion systems is challenging, since the inverse of an…

Systems and Control · Electrical Eng. & Systems 2023-04-07 Max van Haren , Lennart Blanken , Tom Oomen

Despite the existence of formal guarantees for learning-based control approaches, the relationship between data and control performance is still poorly understood. In this paper, we propose a Lyapunov-based measure for quantifying the…

Systems and Control · Electrical Eng. & Systems 2021-08-02 Armin Lederer , Alexandre Capone , Thomas Beckers , Jonas Umlauft , Sandra Hirche

L\'evy flights and L\'evy walks serve as two paradigms of random walks resembling common features but also bearing fundamental differences. One of the main dissimilarities are discontinuity versus continuity of their trajectories and…

Statistical Mechanics · Physics 2017-05-09 Bartlomiej Dybiec , Ewa Gudowska-Nowak , Eli Barkai , Alexander A. Dubkov

This paper presents a learning- and scenario-based model predictive control (MPC) design approach for systems modeled in linear parameter-varying (LPV) framework. Using input-output data collected from the system, a state-space LPV model…

Systems and Control · Electrical Eng. & Systems 2024-07-23 Yajie Bao , Hossam S. Abbas , Javad Mohammadpour Velni

In many nonlinear control problems, the plant can be accurately described by a linear model whose operating point depends on some measurable variables, called scheduling signals. When such a linear parameter-varying (LPV) model of the…

Optimization and Control · Mathematics 2018-06-19 Dario Piga , Simone Formentin , Alberto Bemporad

This work is motivated by the engineering challenge of suppressing vibrations in turbine blades of aero engines, which often operate under extreme thermal conditions and high-Mach aerodynamic environments that give rise to complex vibration…

Robotics · Computer Science 2025-09-09 Chengyi Wang , Ji Wang

This paper evaluates and compares the performance of model-free and model-based reinforcement learning for the attitude control of fixed-wing unmanned aerial vehicles using PID as a reference point. The comparison focuses on their ability…

Robotics · Computer Science 2024-09-27 David Olivares , Pierre Fournier , Pavan Vasishta , Julien Marzat

Gain-scheduled control based on linear parameter-varying (LPV) models derived from local linearizations is a widespread nonlinear technique for tracking time-varying setpoints. Recently, a nonlinear control scheme based on Control…

Systems and Control · Computer Science 2020-05-11 Ruigang Wang , Roland Tóth , Ian R. Manchester

The Stefan PDE system is a representative model for thermal phase change phenomena, such as melting and solidification, arising in numerous science and engineering processes. The mathematical description is given by a Partial Differential…

Optimization and Control · Mathematics 2021-11-24 Shumon Koga , Miroslav Krstic