Langbeschreibung
The aim of this book is to furnish the reader with a rigorous and detailed exposition of the concept of control parametrization and time scaling transformation. It presents computational solution techniques for a special class of constrained optimal control problems as well as applications to some practical examples. The book may be considered an extension of the 1991 monograph A Uni¿ed Computational Approach Optimal Control Problems, by K.L. Teo, C.J. Goh, and K.H. Wong. This publication discusses the development of new theory and computational methods for solving various optimal control problems numerically and in a unified fashion. To keep the book accessible and uniform, it includes those results developed by the authors, their students, and their past and present collaborators. A brief review of methods that are not covered in this exposition, is also included.
Inhaltsverzeichnis
1. Introduction.- 2. Unconstrained Optimization Techniques.- 3. Constrained Mathematical Programming.- 4. Optimization Problems Subject to Continuous Inequality Constraints.- 5. Discrete Time Optimal Control Problems.- 6. Elements of Optimal Control Theory.- 7. Gradient Formulae for Optimal Parameter Selection Problems.- 8. Control Parameterization for Canonical Optimal Control Problems.- 9. Optimal Control Problems with State and Control Constraints.-10. Time-Lag Optimal Control Problems.- 11. Feedback Control.- 12. On Some Special Classes of Stochastic Optimal Control Problems.- A.1. Elements of Mathematical Analysis.- A.2 Global Optimization via Filled Function Approach. A.3. Elements of Probability Theory - References.