Computational Optimal Control

1. Front Matter

   Pages i-x

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2. A Survey on Computational Optimal Control

   1. Front Matter

      Pages 1-1

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   2. Issues in the Direct Transcription of Optimal Control Problems to Sparse Nonlinear Programs

      • John T. Betts

      Pages 3-17

   3. Optimization in Control of Robots

      • F. L. Chernousko

      Pages 19-28

   4. Large-scale SQP Methods and their Application in Trajectory Optimization

      • Philip E. Gill, Walter Murray, Michael A. Saunders

      Pages 29-42

   5. Solving Optimal Control and Pursuit-Evasion Game Problems of High Complexity

      • Hans Josef Pesch

      Pages 43-61

3. Theoretical Aspects of Optimal Control and Nonlinear Programming

   1. Front Matter

      Pages 63-63

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   2. Continuation Methods in Boundary Value Problems

      • Vassili V. Dikoussar

      Pages 65-70

   3. Second Order Optimality Conditions for Singular Extremals

      • A. V. Dmitruk

      Pages 71-81

   4. Synthesis of Adaptive Optimal Controls for Linear Dynamic Systems

      • R. Gabasov, N. V. Balashevich, F. M. Kirillova

      Pages 83-88

   5. Control Applications of Reduced SQP Methods

      • Ekkehard W. Sachs

      Pages 89-104

   6. Time Optimal Control of Mechanical Systems

      • W. Schenker, H. P. Geering

      Pages 105-114

4. Algorithms for Optimal Control Calculations

   1. Front Matter

      Pages 115-115

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   2. Second Order Algorithm for Time Optimal Control of a Linear System

      • Mark D. Ardema, Han-Chang Chou

      Pages 117-126

   3. An SQP-type Solution Method for Constrained Discrete-Time Optimal Control Problems

      • E. Arnold, H. Puta

      Pages 127-136

   4. Numerical Methods for Solving Differential Games, Prospective Applications to Technical Problems

      • N. D. Botkin, V. M. Kein, V. S. Patsko, V. L. Turova, M. A. Zarkh

      Pages 137-145

   5. Construction of the Optimal Feedback Controller for Constrained Optimal Control Problems with Unknown Disturbances

      • Michael H. Breitner

      Pages 147-162

   6. Repetitive Optimization for Predictive Control of Dynamic Systems under Uncertainty

      • Krzysztof Malinowski

      Pages 163-175

   7. Optimal Control of Multistage Systems Described by High-Index Differential-Algebraic Equations

      • C. C. Pantelides, R. W. H. Sargent, V. S. Vassiliadis

      Pages 177-191

   8. A New Class of a High Order Interior Point Method for the Solution of Convex Semiinfinite Optimization Problems

      • György Sonnevend

      Pages 193-211

Resources should be used sparingly both from a point of view of economy and eco­ logy. Thus in controlling industrial, economical and social processes, optimization is the tool of choice. In this area of applied numerical analysis, the INTERNATIONAL FEDERATION OF AUTOMATIC CONTROL (IFAC) acts as a link between research groups in universities, national research laboratories and industry. For this pur­ pose, the technical committee Mathematics of Control of IFAC organizes biennial conferences with the objective of bringing together experts to exchange ideas, ex­ periences and future developments in control applications of optimization. There should be a genuine feedback loop between mathematicians, computer scientists, engineers and software developers. This loop should include the design, application and implementation of algorithms. The contributions of industrial practitioners are especially important. These proceedings contain selected papers from a workshop on CONTROL Ap­ PLICATIONS OF OPTIMIZATION, which took place at the Fachhochschule Miinchen in September 1992. The workshop was the ninth in a series of very successful bien­ nial meetings, starting with the Joint Automatic Control Conference in Denver in 1978 and followed by conferences in London, Oberpfaffenhofen, San Francisco, Ca­ pri, Tbilisi and Paris. The workshop was attended by ninety researchers from four continents. This volume represents the state of the art in the field, with emphasis on progress made since the publication of the proceedings of the Capri meeting, edited by G. di Pillo under the title 'Control Applications of Optimization and Nonlinear Programming'.

• Computer-Aided Design (CAD)
• Optimal control
• algorithm
• algorithms
• complexity
• construction
• linear optimization
• manufacturing technology
• modeling
• nonlinear optimization
• numerical methods
• optimization
• programming

• Mathematisches Institut, TH München, München, Germany

  R. Bulirsch

• Labor für Regelungs-und Steuerungslechnik Fachbereich Maschinenbau, Fachhochschule München, München, Germany

  D. Kraft

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