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Related papers: Flatness-based control revisited: The HEOL setting

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This work presents a new approach to the guidance and control of marine craft via HEOL, i.e., a new way of combining flatness-based and model-free controllers. Its goal is to develop a general regulator for Unmanned Surface Vehicles (USV).…

Systems and Control · Electrical Eng. & Systems 2025-05-02 Loïck Degorre , Emmanuel Delaleau , Cédric Join , Michel Fliess

Recent investigations on the longitudinal and lateral control of wheeled autonomous vehicles are reported. Flatness-based techniques are first introduced via a simplified model. It depends on some physical parameters, like cornering…

Optimization and Control · Mathematics 2016-04-08 Brigitte d'Andréa-Novel , Lghani Menhour , Michel Fliess , Hugues Mounier

The paper presents an approach to flatness-based control design for hyperbolic multi-input systems, building upon the hyperbolic controller form (HCF). The transformation into HCF yields a simplified system representation that considerably…

Systems and Control · Electrical Eng. & Systems 2026-04-02 Simon Schmidt , Nicole Gehring , Abdurrahman Irscheid

Controlling hybrid systems is mostly very challenging due to the variety of dynamics these systems can exhibit. Inspired by the concept of differential flatness of nonlinear continuous systems and their inherent invertibility property, the…

Systems and Control · Electrical Eng. & Systems 2024-09-23 Tobias Kleinert , Veit Hagenmeyer

This paper shows that the dynamics of a general class of aerial manipulators, consist of an underactuated multi-rotor base with an arbitrary k-linked articulated manipulator, are differentially flat. Methods of Lagrangian Reduction under…

Robotics · Computer Science 2021-11-03 Skylar X. Wei , Peder Harderup , Joel Burdick

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

We are introducing a model-free control and a control with a restricted model for finite-dimensional complex systems. This control design may be viewed as a contribution to "intelligent" PID controllers, the tuning of which becomes quite…

Optimization and Control · Mathematics 2009-04-03 Michel Fliess , Cédric Join

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

We derive in a straightforward way the null controllability of a 1-D heat equation with boundary control. We use the so-called {\em flatness approach}, which consists in parameterizing the solution and the control by the derivatives of a…

Optimization and Control · Mathematics 2013-03-12 Philippe Martin , Lionel Rosier , Pierre Rouchon

"Model-free control" and the corresponding "intelligent" PID controllers (iPIDs), which already had many successful concrete applications, are presented here for the first time in an unified manner, where the new advances are taken into…

Optimization and Control · Mathematics 2013-11-21 Michel Fliess , Cédric Join

Learning-based optimal control algorithms control unknown systems using past trajectory data and a learned model of the system dynamics. These controllers use either a linear approximation of the learned dynamics, trading performance for…

Systems and Control · Electrical Eng. & Systems 2023-07-21 Adam W. Hall , Melissa Greeff , Angela P. Schoellig

Model predictive control (MPC) is a popular control engineering practice, but requires a sound knowledge of the model. Model-free predictive control (MFPC), a burning issue today, also related to reinforcement learning (RL) in AI, is…

Systems and Control · Electrical Eng. & Systems 2025-04-23 Cédric Join , Emmanuel Delaleau , Michel Fliess

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

Writing down mathematical models of agricultural greenhouses and regulating them via advanced controllers are challenging tasks since strong perturbations, like meteorological variations, have to be taken into account. This is why we are…

Optimization and Control · Mathematics 2014-11-27 Frédéric Lafont , Jean-François Balmat , Nathalie Pessel , Michel Fliess

We study control systems on the tangent bundle of a smooth manifold induced by vertical lifts of vector fields. The Vertical dynamics acts exclusively along the fibers, leaving the base point unchanged and reducing the system to a linear…

Optimization and Control · Mathematics 2026-04-28 S. N. Stelmastchuk

A unifying framework for the control of quantum systems with non-Abelian holonomy is presented. It is shown that, from a control theoretic point of view, holonomic quantum computation can be treated as a control system evolving on a…

Quantum Physics · Physics 2018-04-04 Dennis Lucarelli

Tilted hexarotors embody a technology that remains partially unexploited in terms of its potential, especially concerning precise and concurrent position and attitude control. Focusing on these aerial platforms, we propose two control…

Systems and Control · Electrical Eng. & Systems 2023-10-17 Marco Perin , Massimiliano Bertoni , Giulia Michieletto , Roberto Oboe , Angelo Cenedese

We derive in a direct and rather straightforward way the null controllability of a 2-D heat equation with boundary control. We use the so-called flatness approach, which consists in parameterizing the solution and the control by the…

Optimization and Control · Mathematics 2013-04-22 Philippe Martin , Lionel Rosier , Pierre Rouchon

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

The paper addresses the exact linearization of flat nonlinear discrete-time systems by generalized static or dynamic feedbacks which may also depend on forward-shifts of the new input. We first investigate the question which forward-shifts…

Optimization and Control · Mathematics 2022-12-29 Bernd Kolar , Johannes Diwold , Conrad Gstöttner , Markus Schöberl
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