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Advances in Distributed Parameter Systems

  • Book
  • © 2022

Overview

Editors:
  1. Jean Auriol

    1. Laboratoire des Signaux et Systèmes (L2S), Université Paris-Saclay, CNRS, CentraleSupélec, Gif-sur-Yvette, France

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  2. Joachim Deutscher

    1. Institute for Measurement, Control and Microtechnology, Ulm University, Ulm, Germany

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  3. Guilherme Mazanti

    1. Laboratoire des Signaux et Systèmes (L2S), Université Paris-Saclay, CNRS, CentraleSupélec, Inria, Gif-sur-Yvette, France

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  4. Giorgio Valmorbida

    1. Laboratoire des Signaux et Systèmes (L2S), Université Paris-Saclay, CNRS, CentraleSupélec, Inria, Gif-sur-Yvette, France

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  • Covers topics in the area of analysis and control of distributed parameter systems
  • Focuses on infinite dimensional systems of hyperbolic type that are used when modelling propagation phenomena
  • The contributions present new results in terms of modelling, control strategies, applications and numerical aspects

Part of the book series: Advances in Delays and Dynamics (ADVSDD, volume 14)

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Table of contents (12 chapters)

  1. Front Matter

    Pages i-xiv
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  2. Stabilization and Control Strategies

    1. Front Matter

      Pages 1-1
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    2. Energy Shaping Control of 1D Distributed Parameter Systems

      • Yann Le Gorrec, Hector Ramirez, Yongxin Wu, Ning Liu, Alessandro Macchelli
      Pages 3-26

    3. Prediction Control for Nonlinear Systems with Stochastic Input Delay

      • Sijia Kong, Delphine Bresch-Pietri
      Pages 27-44

    4. Output Feedback Stabilization of a Reaction-Diffusion PDE in the Presence of Saturations of the Input and Its Time Derivatives

      • Hugo Lhachemi, Christophe Prieur
      Pages 45-68

    5. Numerical Control of a Semilinear Wave Equation on an Interval

      • Marcelo Cavalcanti, Valeria Domingos Cavalcanti, Carole Rosier, Lionel Rosier
      Pages 69-89

  3. Stabilization and Tracking of Interconnected Systems

    1. Front Matter

      Pages 91-91
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    2. Insight into the Stability Analysis of the Reaction-Diffusion Equation Interconnected with a Finite-Dimensional System Taking Support on Legendre Orthogonal Basis

      • Mathieu Bajodek, Alexandre Seuret, Frédéric Gouaisbaut
      Pages 93-115

    3. Tracking Control for \(2\times 2\) Linear Heterodirectional Hyperbolic PDEs that Are Bidirectionally Coupled with Nonlinear ODEs

      • Abdurrahman Irscheid, Nicole Gehring, Joachim Deutscher, Joachim Rudolph
      Pages 117-142

    4. Practical Output Regulation and Tracking for Linear ODE-hyperbolic PDE-ODE Systems

      • Jeanne Redaud, Federico Bribiesca-Argomedo, Jean Auriol
      Pages 143-169

    5. A Systematic Backstepping Design of Tracking Controllers for ODE-PDE-ODE Systems with Nonlinear Actuator Dynamics

      • Nicole Gehring
      Pages 171-196

  4. Applications and Numerical Aspects

    1. Front Matter

      Pages 197-197
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    2. Cable-Operated Elevators and Deep-Sea Construction: \(4\times 4\) Hyperbolic PDE-ODE Control with Moving Boundary

      • Miroslav Krstic, Ji Wang
      Pages 199-225

    3. Ramp Metering: Modeling, Simulations and Control Issues

      • Cédric Join, Hassane Abouaïssa, Michel Fliess
      Pages 227-242

    4. Event-Triggered Output Feedback Control of Traffic Flow on Cascaded Roads

      • Nicolas Espitia, Jean Auriol, Huan Yu, Miroslav Krstic
      Pages 243-267

    5. Computational Modeling for One-Dimensional Distributed Parameter Systems

      • Daniela Danciu
      Pages 269-295
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Keywords

About this book

The proposed book presents recent breakthroughs for the control of distributed parameter systems and follows on from a workshop devoted to this topic. It introduces new and unified visions of the challenging control problems raised by distributed parameter systems. 

The book collects contributions written by prominent international experts in the control community, addressing a wide variety of topics. It spans the full range from theoretical research to practical implementation and follows three traverse axes: emerging ideas in terms of control strategies (energy shaping, prediction-based control, numerical control, input saturation), theoretical concepts for interconnected systems (with potential non-linear actuation dynamics), advanced applications (cable-operated elevators, traffic networks), and numerical aspects. 

Cutting-edge experts in the field contributed in this volume, making it a valuable reference source for control practitioners, graduate students, and scientists researching practical and theoretical solutions to the challenging problems raised by distributed parameter systems.



Editors and Affiliations

  • Laboratoire des Signaux et Systèmes (L2S), Université Paris-Saclay, CNRS, CentraleSupélec, Gif-sur-Yvette, France

    Jean Auriol

  • Institute for Measurement, Control and Microtechnology, Ulm University, Ulm, Germany

    Joachim Deutscher

  • Laboratoire des Signaux et Systèmes (L2S), Université Paris-Saclay, CNRS, CentraleSupélec, Inria, Gif-sur-Yvette, France

    Guilherme Mazanti, Giorgio Valmorbida

Bibliographic Information

  • Book Title: Advances in Distributed Parameter Systems

  • Editors: Jean Auriol, Joachim Deutscher, Guilherme Mazanti, Giorgio Valmorbida

  • Series Title: Advances in Delays and Dynamics

  • DOI: https://doi.org/10.1007/978-3-030-94766-8

  • Publisher: Springer Cham

  • eBook Packages: Intelligent Technologies and Robotics, Intelligent Technologies and Robotics (R0)

  • Copyright Information: The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerland AG 2022

  • Hardcover ISBN: 978-3-030-94765-1Published: 25 April 2022

  • Softcover ISBN: 978-3-030-94768-2Published: 25 April 2023

  • eBook ISBN: 978-3-030-94766-8Published: 24 April 2022

  • Series ISSN: 2197-117X

  • Series E-ISSN: 2197-1161

  • Edition Number: 1

  • Number of Pages: XIV, 295

  • Number of Illustrations: 14 b/w illustrations, 57 illustrations in colour

  • Topics: Control and Systems Theory, Engineering Mathematics, Complexity

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