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Accounting for Constraints in Delay Systems

  • Book
  • © 2022

Overview

Editors:
  1. Giorgio Valmorbida

    1. Laboratoire des Signaux et Systèmes, CentraleSupélec, Gif-sur-Yvette, France

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  2. Wim Michiels

    1. Department of Computer Science, KU Leuven, Heverlee, Belgium

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  3. Pierdomenico Pepe

    1. Department of Information Engineering, Computer Science, and Mathematics, University of L’Aquila, L'Aquila, Italy

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  • Provides a wide-ranging collection of methods for the analysis and design of control laws for delay systems
  • Highlights how the control design can consider fundamentally different constraints
  • Selects recent results on analysis and control synthesis for time-delay systems, thereby following two transversal axes

Part of the book series: Advances in Delays and Dynamics (ADVSDD, volume 12)

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Table of contents (12 chapters)

  1. Front Matter

    Pages i-xii
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  2. Analytical Methods for Analysis and Design

    1. Front Matter

      Pages 1-1
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    2. Stabilizing Systems with Uncertain Time Delay via PID Control: How Good Is It?

      • Dan Ma, Jie Chen
      Pages 3-23

    3. Stability Analysis of Linear Delay Systems via Internally Positive Representations: An Overview

      • Vittorio De Iuliis, Alfredo Germani, Costanzo Manes
      Pages 25-50

    4. Control by Set Invariance of a Class of Convolution Systems

      • Berna Bou Farraa, Rosa Abbou, Jean Jacques Loiseau
      Pages 51-69

    5. Sub-platooning via Agent Separation for Improved Traffic Flow Metrics in a Car-Following Model

      • Min Koh, Adrián Ramírez, Rifat Sipahi
      Pages 71-85

    6. On the Ore Extension Ring of Differential Time-Varying Delay Operators

      • Alban Quadrat, Rosane Ushirobira
      Pages 87-107

    7. Practical Stability Preservation Under Sampling, Actuation Disturbance and Measurement Noise, for Globally Lipschitz Time-Delay Systems

      • Mario Di Ferdinando, Pierdomenico Pepe, Emilia Fridman
      Pages 109-124

  3. Numerical Methods for Analysis and Design

    1. Front Matter

      Pages 125-125
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    2. 15 Years or So of Pseudospectral Collocation Methods for Stability and Bifurcation of Delay Equations

      • Alessia Andò, Dimitri Breda, Davide Liessi, Stefano Maset, Francesca Scarabel, Rossana Vermiglio
      Pages 127-149

    3. Sensitivity Analysis for Stability of Uncertain Delay Differential Equations Using Polynomial Chaos Expansions

      • Rossana Vermiglio, Andrea Zamolo
      Pages 151-173

    4. Lyapunov Stability of a Coupled Ordinary Differential System and a String Equation with Polytopic Uncertainties

      • Matthieu Barreau, Alexandre Seuret, Frédéric Gouaisbaut
      Pages 175-188

    5. Regional Stability of Nonlinear Sampled-Data Controlled Systems Under Actuator Saturation: A Quasi-LPV Approach

      • Alessandra Helena Kimura Palmeira, Joao Manoel Gomes da Silva Jr., Jeferson Vieira Flores
      Pages 189-207

    6. A Method for Computation and Analysis of Partial Synchronization Manifolds of Delay Coupled Systems

      • Libo Su, Wim Michiels, Erik Steur, Henk Nijmeijer
      Pages 209-230

    7. Analysis of Linear Partial Differential Equations Using Convex Optimization

      • Aditya Gahlawat, Giorgio Valmorbida
      Pages 231-255

  4. Back Matter

    Pages 257-258
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Keywords

About this book

Time-delays are fundamental to understand phenomena in control applications as networked systems, traffic management, control of vibrations, and supply chains.  The need for a performance and reliability on these systems has to overcome challenges related to the constraints in the controlled systems. These constraints can be physical, such as input magnitude saturation on actuators, or technological, such as the limited bandwidth in a networked system or the fixed structure in a control architecture, where only a few parameters can be set. This volume provides a wide-ranging collection of methods for the analysis and design of control laws for delay systems with constraints. These methods cover fundamental analytical aspects as, for instance, the stability analysis of Positive Delay systems or the achievable performance of PID controls for delay systems.  The book gives valuable material for researchers and graduate students in Automatic Control. 

 

Editors and Affiliations

  • Laboratoire des Signaux et Systèmes, CentraleSupélec, Gif-sur-Yvette, France

    Giorgio Valmorbida

  • Department of Computer Science, KU Leuven, Heverlee, Belgium

    Wim Michiels

  • Department of Information Engineering, Computer Science, and Mathematics, University of L’Aquila, L'Aquila, Italy

    Pierdomenico Pepe

Bibliographic Information

  • Book Title: Accounting for Constraints in Delay Systems

  • Editors: Giorgio Valmorbida, Wim Michiels, Pierdomenico Pepe

  • Series Title: Advances in Delays and Dynamics

  • DOI: https://doi.org/10.1007/978-3-030-89014-8

  • 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: 978-3-030-89013-1Published: 03 April 2022

  • Softcover ISBN: 978-3-030-89016-2Published: 04 April 2023

  • eBook ISBN: 978-3-030-89014-8Published: 02 April 2022

  • Series ISSN: 2197-117X

  • Series E-ISSN: 2197-1161

  • Edition Number: 1

  • Number of Pages: XII, 258

  • Number of Illustrations: 25 b/w illustrations, 12 illustrations in colour

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

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