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Control and Optimization with Differential-Algebraic Constraints

Control and Optimization with Differential-Algebraic Constraints


Part of Advances in Design and Control

  • Date Published: November 2012
  • availability: This item is not supplied by Cambridge University Press in your region. Please contact Soc for Industrial null Mathematics for availability.
  • format: Paperback
  • isbn: 9781611972245

£ 66.00

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About the Authors
  • Differential-algebraic equations (DAEs) are the most natural way to mathematically model many complex systems in science and engineering. This book provides a guide to the theory and practice of modelling with DAEs. In particular, the reader will learn to maximise the performance of their models by optimising the design parameters. Presented within are cutting-edge theory and state-of-the-art numerical methods for the optimal control of differential-algebraic equations, alongside real-world applications of the results. This accessible treatment of the subject, written by leading experts, is suitable for applied mathematicians, engineers and computational scientists from a variety of disciplines. It will be of interest to those developing theory and those working on real-world applications, especially in the optimal control of problems in chemical and mechanical engineering.

    • Contains cutting-edge theory written by leading experts with both academic and industry experience
    • Presents state-of-the-art numerical methods
    • Includes real-world applications
    Read more

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    Product details

    • Date Published: November 2012
    • format: Paperback
    • isbn: 9781611972245
    • length: 356 pages
    • dimensions: 255 x 178 x 16 mm
    • weight: 0.63kg
    • availability: This item is not supplied by Cambridge University Press in your region. Please contact Soc for Industrial null Mathematics for availability.
  • Table of Contents

    1. DAEs, control, and optimization
    2. Regularization of linear and nonlinear descriptor systems
    3. Notes on linearization of DAEs and on optimization with differential-algebraic constraints
    4. Spectra and leading directions for linear DAEs
    5. StratiGraph tool: matrix stratifications in control applications
    6. Descriptor system techniques in solving H ₂/-optimal fault detection and isolation problems
    7. Normal forms, high-gain, and funnel control for linear differential-algebraic systems
    8. Linear-quadratic optimal control problems with switch points and a small parameter
    9. Mixed-integer DAE optimal control problems: necessary conditions and bounds
    10. Optimal control of a delay PDE
    11. Direct transcription with moving finite elements
    12. Solving parameter estimation problems with SOCX
    13. Control of integrated chemical process systems using underlying DAE models
    14. DMPC for building temperature regulation
    15. Dynamic regularization, level set shape optimization, and computed myography
    16. The application of Pontryagin's minimum principle for endpoint optimization of batch processes.

  • Authors

    Lorenz T. Biegler, Carnegie Mellon University, Pennsylvania
    Lorenz T. Biegler is the Bayer Professor of Chemical Engineering at Carnegie Mellon University and a Fellow of the American Institute of Chemical Engineers.

    Stephen L. Campbell, North Carolina State University
    Stephen L. Campbell is a Distinguished Professor of Mathematics at North Carolina State University. He is a Fellow of the Institute of Electrical and Electronics Engineers (IEEE) and the Society for Industrial and Applied Mathematics (SIAM).

    Volker Mehrmann, Technische Universität Berlin
    Volker Mehrmann is a Professor of Mathematics at TU Berlin. He is a member of acatech (the German Academy of Science and Engineering) and is currently president of GAMM (the German Society for Applied Mathematics and Mechanics).

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