The Computation and Theory of Optimal Control

Name: The Computation and Theory of Optimal Control
Brand: Academic Press
Price: 76.95 EUR
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Academic Press

Erschienen am 14. Mai 2014

255 Seiten

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978-0-08-095574-2 (ISBN)

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Front Cover
The Computation and Theory of Optimal Control
Copyright Page
Contents
Preface
Chapter 1. Introduction
1.1 Notation
Chapter 2. Parameter Optimization
2.1 Some Notation and Definitions
2.2 Necessary and Sufficient Conditions for a Local Optimum
2.3 Numerical Methods
Bibliography and Comments
Chapter 3. Optimal Control of Discrete Systems
3.1 Notation
3.2 The Problem
3.3 Dynamic Programming Solution
3.4 Linear Quadratic Problems
3.5 Numerical Methods
3.6 The Gradient Method
3.7 The Newton-Raphson Method
3.8 Neighboring Extremal Methods
Bibliography and Comments
Chapter 4. Optimization of Continuous Systems
4.1 Notation
4.2 The Problem
4.3 Dynamic Programming Solution
4.4 The Linear Quadratic Problem
4.5 Linear Quadratic Problem with Constraints
4.6 Stability
Bibliography and Comments
Chapter 5. The Gradient Method and the First Variation
5.1 The Gradient Algorithm
5.2 The Gradient Algorithm: A Dynamic Programming Approach
5.3 Examples
5.4 The First Variation: A Stationarity Condition for a Local Optimum
Bibliography and Comments
Chapter 6. The Successive Sweep Method and the Second Variation
6.1 Introduction
6.2 The Successive Sweep Method
6.3 An Alternative Derivation: Control Parameters
6.4 Examples
6.5 Neighboring Optimal Control
6.6 The Second Variation and the Convexity Condition
Bibliography and Comments
Chapter 7. Systems with Discontinuities
7.1 Introduction
7.2 Discontinuities: Continuous State Variables
7.3 Application to Examples
7.4 The First Variation: A Stationarity Condition
7.5 The Second Variation: A Convexity Condition
7.6 Discontinuities in the State Variables
7.7 Tests for Optimality
7.8 Example
Bibliography and Comments
Chapter 8. The Maximum Principle and the Solution of Two-Point Boundary Value Problems
8.1 Introduction
8.2 The Maximum Principle
8.3 The Linear Quadratic Problem
8.4 Techniques for Solving Linear Two-Point Boundary Value Problems
8.5 Newton-Raphson Methods for Solving Nonlinear Two-Point Boundary Value Problems
8.6 Invariant Imbedding
Bibliography and Comments
Appendix Conjugate Points
Index

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