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Optimal Control Theory for Applications

  • Textbook
  • © 2003

Overview

Authors:
  1. David G. Hull

    1. Aerospace Engineering and Engineering Mechanics, The University of Texas at Austin, Austin, USA

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Part of the book series: Mechanical Engineering Series (MES)

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Table of contents (21 chapters)

  1. Front Matter

    Pages i-xix
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  2. Introduction to Optimization

    1. Introduction to Optimization

      • David G. Hull
      Pages 1-15

  3. Parameter Optimization

    1. Front Matter

      Pages 16-17
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    2. Unconstrained Minimization

      • David G. Hull
      Pages 18-41

    3. Constrained Minimization: Equality Constraints

      • David G. Hull
      Pages 42-58

    4. Constrained Minimization: Inequality Constraints

      • David G. Hull
      Pages 59-75

    5. Minimization Using Matrix Notation

      • David G. Hull
      Pages 76-84

  4. Optimal Control Theory

    1. Front Matter

      Pages 85-87
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    2. Differentials in Optimal Control

      • David G. Hull
      Pages 88-102

    3. Controllability

      • David G. Hull
      Pages 103-113

    4. Simplest Optimal Control Problem

      • David G. Hull
      Pages 114-139

    5. Fixed Final Time: First Differential

      • David G. Hull
      Pages 140-165

    6. Fixed Final Time: Tests for a Minimum

      • David G. Hull
      Pages 166-172

    7. Fixed Final Time: Second Differential

      • David G. Hull
      Pages 173-198

    8. Fixed Final Time Guidance

      • David G. Hull
      Pages 199-220

    9. Free Final Time

      • David G. Hull
      Pages 221-246

    10. Parameters

      • David G. Hull
      Pages 247-257

    11. Free Initial Time and States

      • David G. Hull
      Pages 258-274

    12. Control Discontinuities

      • David G. Hull
      Pages 275-292

    13. Path Constraints

      • David G. Hull
      Pages 293-316
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Keywords

About this book

Mechanical engineering, an engineering discipline born of the needs of the in­ dustrial revolution, is once again asked to do its substantial share in the call for industrial renewal. The general call is urgent as we face profound issues of productivity and competitiveness that require engineering solutions, among others. The Mechanical Engineering Series is a series featuring graduate texts and research monographs intended to address the need for information in con­ temporary areas of mechanical engineering. The series is conceived as a comprehensive one that covers a broad range of concentrations important to mechanical engineering graduate education and research. We are fortunate to have a distinguished roster of consulting editors, each an expert in one of the areas of concentration. The names of the consulting editors are listed on page ii of this volume. The areas of concentration are applied mathematics, biomechanics, computational mechanics, dynamic systems and control, energetics, mechanics of materials, processing, thermal science, and tribology. Austin, Texas Frederick F. Ling Preface Optimization is an area of mathematics that is concerned with finding the "best" points, curves, surfaces, and so on. "Best" is determined by minimizing some measure of performance subject to equality and inequality constraints. Points are constrained by algebraic equations; curves are constrained by or­ dinary differential equations and algebraic equations; surfaces are constrained by partial differential equations, ordinary differential equations, and algebraic equations.

Reviews

From the reviews:

"It presents a unified approach to the conversion of nonlinear optimal control problems into parameter optimizations for numerical solutions. … the book is written in a way that is very accessible to the audience. The selection of topics is useful and coherent, and the book is well organized. … is highly effective in explaining basic ideas of optimal control. … It can also be a useful reference to engineers and researchers who want to use applied optimal control theories for solving engineering problems … ." (Yiyuan J. Zhao, International Journal of Robust and Nonlinear Control, Vol. 15 (17), 2005)

Authors and Affiliations

  • Aerospace Engineering and Engineering Mechanics, The University of Texas at Austin, Austin, USA

    David G. Hull

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