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Related papers: Flatness-based control of a Timoshenko beam

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This paper proposes a tracking controller based on the concept of flat inputs and a dynamic compensator. Flat inputs represent a dual approach to flat outputs. In contrast to conventional flatness-based control design, the regulated output…

Systems and Control · Computer Science 2012-11-27 Jean-Francois Stumper , Ferdinand Svaricek , Ralph Kennel

This paper addresses the problem of deformation control of an Euler-Bernoulli beam with in-domain actuation. The proposed control scheme consists in first relating the system model described by an inhomogeneous partial differential equation…

Optimization and Control · Mathematics 2015-11-19 Amir Badkoubeh , Jun Zheng , Guchuan Zhu

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

This paper gives an overview of the control of distributed-parameter systems using normal forms. Considering linear controllable PDE-ODE systems of hyperbolic type, two methods derive tracking controllers by mapping the system into a form…

Systems and Control · Electrical Eng. & Systems 2023-05-17 Nicole Gehring , Abdurrahman Irscheid , Joachim Deutscher , Frank Woittennek , Joachim Rudolph

Using the properties of differential flatness, a controllable system, such as a quadcoper model, may be transformed into a linear equivalent system via a coordinate change and an input mapping. This is a straightforward advantage for the…

Systems and Control · Electrical Eng. & Systems 2024-02-15 Huu-Thinh Do , Franco Blanchini , Ionela Prodan

Differentially flat models are frequently used to design feedforward controllers for electromechanical systems. However, control performance depends on model accuracy, which makes feedback imperative. This paper presents a control scheme…

Systems and Control · Electrical Eng. & Systems 2026-05-18 Eloy Serrano-Seco , Edgar Ramirez-Laboreo , Eduardo Moya-Lasheras

Flatness-based control design is a well established method to generate open-loop control signals. Several articles discuss the application of flatness-based control design of (reaction-) diffusion problems for various scenarios. Beside the…

Optimization and Control · Mathematics 2023-12-05 Stephan Scholz , Lothar Berger , Dirk Lebiedz

We study trajectory tracking for flat nonlinear systems with unmatched uncertainties using the model-following control (MFC) architecture. We apply state feedback linearisation control for the process and propose a simplified implementation…

Systems and Control · Electrical Eng. & Systems 2026-01-28 Niclas Tietze , Kai Wulff , Johann Reger

This paper proposes several nonlinear control strategies for trajectory tracking of a quadcopter system based on the property of differential flatness. Its originality is twofold. Firstly, it provides a flat output for the quadcopter…

Systems and Control · Computer Science 2016-09-28 Thinh Nguyen , Ionela Prodan , Laurent Lefèvre

We present the algebraic foundations of the HEOL setting, which combines flatness-based control and intelligent controllers, two advances in automatic control that have been proven in practice, including in industry. The result provides a…

Optimization and Control · Mathematics 2024-08-22 Cédric Join , Emmanuel Delaleau , Michel Fliess

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

We design the controls of physical systems that are faced by uncertainties. The system dynamics are described by random hyperbolic balance laws. The control aims to steer the system to a desired state under uncertainties. We propose a…

Optimization and Control · Mathematics 2021-07-20 Stephan Gerster , Markus Bambach , Michael Herty , Muhammad Imran

Neglecting complex aerodynamic effects hinders high-speed yet high-precision multirotor autonomy. In this paper, we present a computationally efficient learning-based model predictive controller that simultaneously optimizes a trajectory…

Robotics · Computer Science 2024-02-19 Babak Akbari , Melissa Greeff

This contribution develops an algebraic approach to obtain a controller form for a class of linear hyperbolic MIMO systems, bidirectionally coupled with a linear ODE system at the unactuated boundary. After a short summary of established…

Systems and Control · Electrical Eng. & Systems 2026-04-21 Stefan Ecklebe , Frank Woittennek

In this paper, we present a rapid boundary stabilization of a Timoshenko beam with anti-damping and anti-stiffness at the uncontrolled boundary, by using PDE backstepping. We introduce a transformation to map the Timoshenko beam states into…

Optimization and Control · Mathematics 2022-07-12 Guangwei Chen , Rafael Vazquez , Miroslav Krstic

We present some "in silico" experiments to design combined chemo- and immunotherapy treatment schedules. We introduce a new framework by combining flatness-based control, which is a model-based setting, along with model-free control. The…

Systems and Control · Electrical Eng. & Systems 2021-11-12 Michel Fliess , Cédric Join , Kaouther Moussa , Seddik M. Djouadi , Mohamed W. Alsager

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

A physical nonlinear dynamical model of a laser diode is considered. We propose a feed-forward control scheme based on differential flatness for the design of input-current modulations to compensate diode distortions. The goal is to…

Optimization and Control · Mathematics 2007-09-25 A. Abichou S. Elasmi P. Rouchon

This paper considers the optimization landscape of linear dynamic output feedback control with $\mathcal{H}_\infty$ robustness constraints. We consider the feasible set of all the stabilizing full-order dynamical controllers that satisfy an…

Optimization and Control · Mathematics 2023-07-07 Bin Hu , Yang Zheng

Triangular tethered formation system (TTFS) provide a promising platform for deep space exploration and distributed sensing due to its intrinsic spatial-orientation stability and capability of adjusting distances among node satellites…

Systems and Control · Electrical Eng. & Systems 2026-01-09 Xinyi Tao , Panfeng Huang , Fan Zhang
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