Skip to main content

Computational Optimal Control: Tools and Practice

Computational Optimal Control: Tools and Practice

Dr Subchan Subchan , Rafal Zbikowski

ISBN: 978-0-470-74768-1

Aug 2009

202 pages



Computational Optimal Control: Tools and Practice provides a detailed guide to informed use of computational optimal control in advanced engineering practice, addressing the need for a better understanding of the practical application of optimal control using computational techniques.

Throughout the text the authors employ an advanced aeronautical case study to provide a practical, real-life setting for optimal control theory. This case study focuses on an advanced, real-world problem known as the “terminal bunt manoeuvre” or special trajectory shaping of a cruise missile. Representing the many problems involved in flight dynamics, practical control and flight path constraints, this case study offers an excellent illustration of advanced engineering practice using optimal solutions. The book describes in practical detail the real and tested optimal control software, examining the advantages and limitations of the technology.

Featuring tutorial insights into computational optimal formulations and an advanced case-study approach to the topic, Computational Optimal Control: Tools and Practice provides an essential handbook for practising engineers and academics interested in practical optimal solutions in engineering.

  • Focuses on an advanced, real-world aeronautical case study examining optimisation of the bunt manoeuvre
  • Covers DIRCOL, NUDOCCCS, PROMIS and SOCS (under the GESOP environment), and BNDSCO
  • Explains how to configure and optimize software to solve complex real-world computational optimal control problems
  • Presents a tutorial three-stage hybrid approach to solving optimal control problem formulations 

Related Resources




1 Introduction

1.1 Historical Context of Computational Optimal Control

1.2 Problem Formulation

1.3 Outline of the Book

2 Optimal Control: Outline of the Theory and Computation

2.1 Optimisation: From Finite to Infinite Dimension

2.2 The Optimal Control Problem

2.3 Variational Approach to Problem Solution

2.4 Nonlinear Programming Approach to Solution 

2.5 Numerical Solution of the Optimal Control Problem.

2.6 Summary and Discussion

3 Minimum Altitude Formulation

3.1 Minimum Altitude Problem

3.2 Qualitative Analysis

3.3 Mathematical Analysis

3.4 Indirect Method Solution

3.5 Summary and Discussion

4 Minimum Time Formulation

4.1 Minimum Time Problem

4.2 Qualitative Analysis

4.3 Mathematical Analysis

4.4 Indirect Method Solutions

4.5 Summary and Discussion

5 Software Implementation

5.1 DIRCOL implementation

5.2 NUDOCCCS Implementation

5.3 GESOP (PROMIS/SOCS) Implementation

5.4 BNDSCO Implementation

5.5 User Experience

6 Conclusions and Recommendations

6.1 Three-stage Manual Hybrid Approach

6.2 Generating an Initial Guess: Homotopy

6.3 Pure State Constraint and Multi-objective Formulation

6.4 Final Remarks

Appendix BNDSCO Benchmark Example

A.1 Analytic Solution

A.1.1 Unconstrained or Free Arc (l ≥1/4)

A.1.2 Touch Point Case (1/6 ≤l ≤1/4)

A.1.3 Constrained Arc Case (0 ≤l ≤1/6)