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Related papers: Flatness-based pre-compensation of laser diodes

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We consider the problem of finding an input signal which transfers a linear boundary controlled 1D parabolic partial differential equation with spatially-varying coefficients from a given initial state to a desired final state. The initial…

Systems and Control · Electrical Eng. & Systems 2024-05-17 Soham Chatterjee , Vivek Natarajan

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

Due to their compliant structure, industrial robots without precision-enhancing measures are only to a limited extent suitable for machining applications. Apart from structural, thermal and bearing deformations, the main cause for compliant…

Robotics · Computer Science 2021-01-14 Jonas Weigand , Nigora Gafur , Martin Ruskowski

We study residual dynamics learning for differentially flat systems, where a nominal model is augmented with a learned correction term from data. A key challenge is that generic residual parameterizations may destroy flatness, limiting the…

Systems and Control · Electrical Eng. & Systems 2026-01-28 Fengjun Yang , Jake Welde , Nikolai Matni

We consider discrete-time (DT) systems S in which a DT input is first tranformed to a continuous-time (CT) format by phase-amplitude modulation, then modified by a non-linear CT dynamical transformation F, and finally converted back to DT…

Systems and Control · Computer Science 2014-11-06 Omer Tanovic , Alexandre Megretski , Yan Li , Vladimir M. Stojanovic , Mitra Osqui

I present an experimental realization of a coherent-feedback control system that was recently proposed for testing basic principles of linear quantum stochastic control theory [M. R. James, H. I. Nurdin and I. R. Petersen, to appear in IEEE…

Quantum Physics · Physics 2009-11-13 Hideo Mabuchi

For many tasks, predictive path-following control can significantly improve the performance and robustness of autonomous robots over traditional trajectory tracking control. It does this by prioritizing closeness to the path over timed…

Robotics · Computer Science 2017-11-03 Melissa Greeff , Angela P. Schoellig

We propose the feed-forward perturbation-based nonlinearity compensation method using the received signal, which outperforms conventional decision-based ones and eliminates the need for decision feedback. Additionally, combining half-half…

Optics · Physics 2025-12-30 Chuang Xu , Alan Pak Tao Lau

Underactuated robots are characterized by a larger number of degrees of freedom than actuators and if they are designed with a specific mass distribution, they can be controlled by means of differential flatness theory. This structural…

Robotics · Computer Science 2026-04-21 Stefano Lovato , Michele Tonan , Matteo Bottin , Matteo Massaro , Alberto Doria , Giulio Rosati

Motion planning and control are two core components of the robotic systems autonomy stack. The standard approach to combine these methodologies comprises an offline/open-loop stage, planning, that designs a feasible and safe trajectory to…

Systems and Control · Electrical Eng. & Systems 2023-10-23 Tianqi Zheng , John W. Simpson-Porco , Enrique Mallada

In this article, we introduce the notion of differential flatness by pure prolongation: loosely speaking, a system admits this property if, and only if, there exists a pure prolongation of finite order such that the prolonged system is…

Optimization and Control · Mathematics 2024-05-28 Jean Lévine

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 show that the flatness of a nonlinear discrete-time system can be checked by computing a unique sequence of involutive distributions. The well-known test for static feedback linearizability is included as a special case. Since the…

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

We show that the Euler-discretization of the nonlinear continuous-time model of a single mast stacker crane is flat. The construction of the flat output is based on a transformation of a subsystem into the linear time-variant discrete-time…

Dynamical Systems · Mathematics 2024-03-26 Johannes Diwold , Bernd Kolar , Markus Schöberl

We prove that every flat nonlinear discrete-time system can be decomposed by coordinate transformations into a smaller-dimensional subsystem and an endogenous dynamic feedback. For flat continuous-time systems, no comparable result is…

Optimization and Control · Mathematics 2021-07-28 Bernd Kolar , Markus Schöberl , Johannes Diwold

Neural networks have proven practical for a synergistic combination of advanced control techniques. This work analyzes the implementation of rectified linear unit neural networks to achieve constrained control in differentially flat…

Systems and Control · Electrical Eng. & Systems 2026-04-06 Huu-Thinh Do , Ionela Prodan , Florin Stoican

The output of physical systems is often accessible by measurements such as the 3D position of a robotic arm actuated by many actuators or the speckle patterns formed by shining the spot of a laser pointer on a wall. The selection of the…

In this contribution, we present a constructive method to derive flat sampled-data models for continuous-time flat systems through an implicit Euler-discretization. We show how the sampled-data model can be used subsequently for a…

Dynamical Systems · Mathematics 2024-03-26 Johannes Diwold , Bernd Kolar , Markus Schöberl

Intracavity frequency-doubled solid-state lasers exhibit intensity fluctuations of their light output, which are cause by nonlinear dynamical processes. Up to now, there are different solutions to this problem, but they reduce the output…

Statistical Mechanics · Physics 2016-08-31 F. Lange , T. Letz , K. Pyragas , A. Kittel

The increased ability to engineer two-dimensional (2D) systems, either using materials, photonic lattices, or cold atoms, has led to the search for 2D structures with interesting properties. One such property is the presence of flat bands.…

Strongly Correlated Electrons · Physics 2023-12-05 Jun-Hyung Bae , Tigran Sedrakyan , Saurabh Maiti