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In this work we advance the recently-introduced deep learning-powered approach to PDE backstepping control by proposing a method that approximates only the control gain function -- a function of one variable -- instead of the entire kernel…

Systems and Control · Electrical Eng. & Systems 2024-10-22 Rafael Vazquez , Miroslav Krstic

Platooning of multiple autonomous vehicles has attracted significant attention in both academia and industry. Despite its great potential, platooning is not the only choice for the formation of autonomous vehicles in mixed traffic flow,…

Optimization and Control · Mathematics 2021-11-23 Keqiang Li , Jiawei Wang , Yang Zheng

We develop a feedback control framework for stabilizing the McKean-Vlasov PDE on the torus. Our goal is to steer the dynamics toward a prescribed stationary distribution or accelerate convergence to it using a time-dependent control…

Optimization and Control · Mathematics 2026-05-01 Dante Kalise , Lucas M. Moschen , Grigorios A. Pavliotis

In this paper, we investigate the rapid stabilization of N-layer Timoshenko composite beams with anti-damping and anti-stiffness at the uncontrolled boundaries. The problem of stabilization for a two-layer composite beam has been previously…

Optimization and Control · Mathematics 2025-04-21 Guangwei Chen , Rafael Vazquez , Junfei Qiao , Miroslav Krstic

This paper presents a control design for the one-phase Stefan problem under actuator delay via a backstepping method. The Stefan problem represents a liquid-solid phase change phenomenon which describes the time evolution of a material's…

Optimization and Control · Mathematics 2019-01-29 Shumon Koga , Delphine Bresch-Pietri , Miroslav Krstic

This paper is concerned with fault/disturbance compensation control for fully actuated systems. In particular, we explore observer-based control, incorporating an active compensation mechanism. First, we propose a novel observer with…

Systems and Control · Electrical Eng. & Systems 2026-03-09 Weijie Ren , Guang-Ren Duan , Ping Li , He Kong

Despite growing interest in vehicle platooning research, the effect of communication capability between platoons is not investigated to a depth of depth. In this paper, we extend a single-platoon car-following (CF) model to multi-platoon CF…

Systems and Control · Electrical Eng. & Systems 2025-02-27 Shouwei Hui , Michael Zhang

This paper considers the backstepping state feedback and observer design for hyperbolic and parabolic PDEs, which are bidirectionally interconnected in a general coupling structure. Both PDE subsystems consist of coupled scalar PDEs with…

Systems and Control · Electrical Eng. & Systems 2023-06-23 Joachim Deutscher , Nicole Gehring , Nick Jung

A magnetizable piezoelectric beam model, free at both ends, is considered. Piezoelectric materials have a strong interaction of electromagnetic and acoustic waves, whose wave propagation speeds differ substantially. The corresponding…

Analysis of PDEs · Mathematics 2024-03-14 Ahmet Ozkan Ozer , Uthman Rasaq , Ibrahim Khalilullah

This paper presents a machine learning approach for tuning the parameters of a family of stabilizing controllers for orbital tracking. An augmented random search algorithm is deployed, which aims at minimizing a cost function combining…

Systems and Control · Electrical Eng. & Systems 2023-08-08 Gianni Bianchini , Andrea Garulli , Antonio Giannitrapani , Mirko Leomanni , Renato Quartullo

Since the classical proportional-integral-derivative (PID) controller has continued to be the most widely used feedback methods in engineering systems by far, it is crucial to investigate the working mechanism of PID in dealing with…

Optimization and Control · Mathematics 2025-12-03 Baoyou Qu , Cheng Zhao

We propose a neural control method to provide guaranteed stabilization for mechanical systems using a novel negative imaginary neural ordinary differential equation (NINODE) controller. Specifically, we employ neural networks with desired…

Systems and Control · Electrical Eng. & Systems 2025-04-29 Kanghong Shi , Ruigang Wang , Ian R. Manchester

The design of cooperative adaptive cruise control is critical in mixed traffic flow, where connected and automated vehicles (CAVs) and human-driven vehicles (HDVs) coexist. Compared with pure CAVs, the major challenge is how to handle the…

Systems and Control · Electrical Eng. & Systems 2021-03-09 Shuo Feng , Ziyou Song , Zhaojian Li , Yi Zhang , Li Li

In a vehicular platoon, a lead vehicle that is responsible for managing the platoon's moving directions and velocity periodically disseminates control commands to following vehicles based on vehicle-to-vehicle communications. However,…

Performance · Computer Science 2018-01-19 Kai Li , Wei Ni , Eduardo Tovar , Mohsen Guizani

Urban traffic congestion is a chronic problem faced by many cities. It is essentially inefficient infrastructure use which results in increased vehicle fuel consumption and emissions. This in turn adds extra costs to commuters and…

Systems and Control · Electrical Eng. & Systems 2020-08-12 Youssef Bichiou , Hesham A. Rakha , Hossam Abdelghaffar

Following Demidovich's concept and definition of convergent systems, we analyze the optimal nonlinear damping control, recently proposed [1] for the second-order systems. Targeting the problem of output regulation, correspondingly tracking…

Systems and Control · Electrical Eng. & Systems 2021-06-03 Michael Ruderman

This paper studies static output feedback stabilization of continuous-time (incrementally) passive nonlinear systems where the control actions can only be chosen from a discrete (and possibly finite) set of points. For this purpose, we are…

Optimization and Control · Mathematics 2024-06-03 M. Z. Almuzakki , B. Jayawardhana , A. Tanwani

We develop a tracking model predictive control (MPC) scheme for nonlinear systems using the linearized dynamics at the current state as a prediction model. Under reasonable assumptions on the linearized dynamics, we prove that the proposed…

Optimization and Control · Mathematics 2022-09-20 Julian Berberich , Johannes Köhler , Matthias A. Müller , Frank Allgöwer

This paper theoretically investigates the closed-loop performance of active disturbance rejection control (ADRC) on a third-order linear plant with relative degree 3, subject to a class of exogenous disturbances. While PID control cannot be…

Systems and Control · Electrical Eng. & Systems 2023-10-16 James Berneburg , Daigo Shishika , Cameron Nowzari

For uncertain multiple inputs multi-outputs (MIMO) nonlinear systems, it is nontrivial to achieve asymptotic tracking, and most existing methods normally demand certain controllability conditions that are rather restrictive or even…

Systems and Control · Electrical Eng. & Systems 2023-01-02 Bing Zhou , Xiucai Huang , Yongduan Song
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