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Online Optimization of Large Scale Systems

  • Book
  • © 2001

Overview

Editors:
  1. Martin Grötschel

    1. Konrad-Zuse-Zentrum für Informationstechnik Berlin (ZIB), Berlin-Dahlem, Germany

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  2. Sven O. Krumke

    1. Konrad-Zuse-Zentrum für Informationstechnik Berlin (ZIB), Berlin-Dahlem, Germany

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    You can also search for this editor in PubMed   Google Scholar

  3. Jörg Rambau

    1. Konrad-Zuse-Zentrum für Informationstechnik Berlin (ZIB), Berlin-Dahlem, Germany

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  • applications-oriented book on all major aspects of optimization
  • Includes supplementary material: sn.pub/extras

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Table of contents (37 chapters)

  1. Front Matter

    Pages I-XII
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  2. Optimal Control for Ordinary Differential Equations

    1. Front Matter

      Pages 1-1
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    2. Sensitivity Analysis and Real-Time Optimization of Parametric Nonlinear Programming Problems

      • Christof Büskens, Helmut Maurer
      Pages 3-16

    3. Sensitivity Analysis and Real-Time Control of Parametric Optimal Control Problems Using Boundary Value Methods

      • Helmut Maurer, Dirk Augustin
      Pages 17-55

    4. Sensitivity Analysis and Real-Time Control of Parametric Optimal Control Problems Using Nonlinear Programming Methods

      • Christof Büskens, Helmut Maurer
      Pages 57-68

    5. Sensitivity Analysis and Real-Time Control of a Container Crane under State Constraints

      • Dirk Augustin, Helmut Maurer
      Pages 69-82

    6. Real-Time Control of an Industrial Robot under Control and State Constraints

      • Christof Büskens, Helmut Maurer
      Pages 83-92

    7. Real-Time Optimal Control of Shape Memory Alloy Actuators in Smart Structures

      • Stefan Seelecke, Christof Büskens, Ingo Müller, Jürgen Sprekels
      Pages 93-104

    8. Real-Time Solutions for Perturbed Optimal Control Problems by a Mixed Open- and Closed-Loop Strategy

      • Christof Büskens
      Pages 105-116

    9. Real-Time Optimization of DAE Systems

      • Christof Büskens, Matthias Gerdts
      Pages 117-128

    10. Real-Time Solutions of Bang-Bang and Singular Optimal Control Problems

      • Christof Büskens, Hans Josef Pesch, Susanne Winderl
      Pages 129-142

    11. Conflict Avoidance During Landing Approach Using Parallel Feedback Control

      • Bernd Kugelmann, Wolfgang Weber
      Pages 143-155

  3. Optimal Control for Partial Differential Equations

    1. Front Matter

      Pages 157-157
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    2. Optimal Control Problems with a First Order PDE System — Necessary and Sufficient Optimality Conditions

      • Sabine Pickenhain, Marcus Wagner
      Pages 159-172

    3. Optimal Control Problems for the Nonlinear Heat Equation

      • Karsten Eppler, Fredi Tröltzsch
      Pages 173-183

    4. Fast Optimization Methods in the Selective Cooling of Steel

      • Karsten Eppler, Fredi Tröltzsch
      Pages 185-204

    5. Real-Time Optimization and Stabilization of Distributed Parameter Systems with Piezoelectric Elements

      • Karl-Heinz Hoffmann, Nikolai D. Botkin
      Pages 205-228

    6. Instantaneous Control of Vibrating String Networks

      • Ralf Hundhammer, Günter Leugering
      Pages 229-249

    7. Modelling, Stabilization, and Control of Flow in Networks of Open Channels

      • Martin Gugat, Günter Leugering, Klaus Schittkowski, E. J. P. Georg Schmidt
      Pages 251-270

    8. Optimal Control of Distributed Systems with Break Points

      • Michael Liepelt, Klaus Schittkowski
      Pages 271-291
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Keywords

About this book

In its thousands of years of history, mathematics has made an extraordinary ca­ reer. It started from rules for bookkeeping and computation of areas to become the language of science. Its potential for decision support was fully recognized in the twentieth century only, vitally aided by the evolution of computing and communi­ cation technology. Mathematical optimization, in particular, has developed into a powerful machinery to help planners. Whether costs are to be reduced, profits to be maximized, or scarce resources to be used wisely, optimization methods are available to guide decision making. Opti­ mization is particularly strong if precise models of real phenomena and data of high quality are at hand - often yielding reliable automated control and decision proce­ dures. But what, if the models are soft and not all data are around? Can mathematics help as well? This book addresses such issues, e. g. , problems of the following type: - An elevator cannot know all transportation requests in advance. In which order should it serve the passengers? - Wing profiles of aircrafts influence the fuel consumption. Is it possible to con­ tinuously adapt the shape of a wing during the flight under rapidly changing conditions? - Robots are designed to accomplish specific tasks as efficiently as possible. But what if a robot navigates in an unknown environment? - Energy demand changes quickly and is not easily predictable over time. Some types of power plants can only react slowly.

Editors and Affiliations

  • Konrad-Zuse-Zentrum für Informationstechnik Berlin (ZIB), Berlin-Dahlem, Germany

    Martin Grötschel, Sven O. Krumke, Jörg Rambau

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