Table of Contents

Table of Contents

Preface

Acknowledgments

Chapter 1. Mathematical Background and Optimal Problem Modelling

Chapter 2. Controller Design Based on Parameter Optimization

Chapter 3. Calculus of Variations

Chapter 4. Optimal Control Based on Calculus of Variations

Chapter 5. Optimal Control with Input and State Variable Constraints

Chapter 6. Dynamic Programming

Chapter 7. Linear-Quadratic (LQ) Optimal Control

Chapter 8. Optimal Solution Based on Genetic Programming

Index

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References

[1] Hans P. Geering, “Optimal Control with Engineering Application,” Springer-Verlag Berlin Heidelberg 2007.

Chapter 2

[1] K. Ogata, “Modern Control Engineering,” Tata McGraw-Hill 1997.

[2] Roland S. Burns, “Advanced Control Engineering,” Butterworth Heineman 2001.

[3] Maxwell Norton, “Modern Control Engineering,” Pergamon Press Inc. 1972.

Chapter 3

[1] Fan, L.T., E. S. Lee, and L. E. Erickson, Proc. of the Mid-Am. States Univ. Assoc. Conf. on Modern Optimization Techniques and their Application in Engineering Design, Part I, Kansas State University, Manhattan, Kansas (Dec. 19-22,1966).

[2] Benoit C. CHACHUAT, “Nonlinear and Dynamic Optimization- from Theory to Practice,” Automatic Control Laboratory EPFL Switzerland 2007.

[3] Forray, M. J., “Variational Calculus in Science and Engineering,” McGraw-Hill Book Company, New York 1968.

Chapter 4

[1] Kirk, Donald E., “Optimal Control Theory: An Introduction,” Dover Publications, Inc., New York 1970, 1998.

[2] Noton A. R. M., “Introduction to Varaitional Methods in Control Engineering,” Pergamon Press Oxford 1965.

Chapter 5

[1] Yasundo Takahashi, “Dynamic and Control Systems,” Addison-Wesley Pub Co, 1970.

[2] H. Maurer, N. P. Osmoloviskii, “Second order optimality conditions for bang-bang control problems,” Control and Cybernetics, Vol. 32, No. 3, 2003.

[3] Jacobson, D. H. and Lele, M. M. “A Transformation Technique for Optimal Control Problems with State Variable Inequality Constraints,” IEEE Trans., Automatic Control, AC-14, No. 5, October 1969.

Chapter 6

[1] F. L. Lewis, “Optimal Control,” New York, John Wiley and Sons 1986.

[2] Maxwell Norton, “Modern Control Engineering,” Pergamon Press Inc. 1972.

[3] D. Jacobson and D. Mayne, “Differential Dynamic programming,” Elsevier Publication Company, New York, 1970.

Chapter 7

[1] Stanislaw H. Zak, “Systems and Control,” Oxford University Press, Inc. 2003.

[2] Weiwei Li and Emanuel Todorov, “Iterative Linear-quadratic Regulator Design for Nonlinear Biological Movement Systems,” 1st International Conference on Informatics in Control, Automation and Robotics, August 2004.

[3] L. Spiral, V. Ovsjannikov, “Optimization of Industrial Control Systems,” in Czech language, SNTL/ALFA 1982.

Chapter 8

[1] J. R. Koza, “Genetic Programming: On the Programming of Computers by Means of Natural Selection,” Cambridge MA: The MIT press, 1992.

[2] J. R. Koza, “Survey of Genetic Algorithms and Genetic Programming,” Proceedings on 1995 WESCON, Piscata way, NJ: IEEE 7-9 Nov. 1995, Pages 589-594.

[3] Mohamed J. Mohamed, “A Proposed Genetic Programming Applied to Controller Design and System Identification,” Ph.D. thesis, University of Technology, Baghdad, February 2007.