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Practical Methods for Optimal Control Using Nonlinear Programming : Advances in Design and Control - John T. Betts

Practical Methods for Optimal Control Using Nonlinear Programming

By: John T. Betts

Hardcover | 28 February 2021 | Edition Number 3

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How do you fly an airplane from one point to another as fast as possible? What is the best way to administer a vaccine to fight the harmful effects of disease? What is the most efficient way to produce a chemical substance? This book presents practical methods for solving real optimal control problems such as these.

This third edition focuses on the direct transcription method for optimal control, and features:
  • A summary of relevant material in constrained optimization, including nonlinear programming.
  • Discretization techniques appropriate for ordinary differential equations and differential-algebraic equations.
  • Several examples and descriptions of computational algorithm formulations that implement this discretize-then-optimize strategy.


    • The third edition has been thoroughly updated and includes:
      • New material on implicit Runge-Kutta discretization techniques.
      • New chapters on partial differential equations and delay equations.
      • More than 70 test problems and open source FORTRAN code for all of the problems.


        • This book will be valuable for academic and industrial research and development in optimal control theory and applications. It is appropriate as a primary or supplementary text for advanced undergraduate and graduate students.

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