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Tables of Contents for Advances in Missile Guidance Theory
Chapter/Section Title
Page #
Page Count
Preface
vii
 
Introduction
1
6
Objectives and Motivation
1
1
Historical Background
1
2
Mathematical Modeling
3
4
References
6
1
Mathematical Background
7
18
Scope and Preliminaries
7
2
Game Rules Specifications
9
1
Candidates for Saddle-Point Solutions
10
3
Riccati Equation
13
2
Sufficient Condition
15
2
Adjoint Analysis
17
5
Summary and Conclusions
22
3
References
23
2
Optimal Guidance Based on Linear-Quadratic One-Sided Optimization
25
64
Introduction
25
1
Problem Formulation
25
1
Nonmaneuvering Target
26
6
Maneuvering Target
32
11
MATLAB™ Simulations
43
12
Numerical Examples
55
32
Concluding Remarks
87
2
References
88
1
Optimal Guidance Based on Linear-Quadratic Differential Games
89
38
Introduction
89
1
Ideal Pursuer Case
89
6
Nonideal Pursuer Case
95
7
Adding a Constant Maneuver to the Pursuit-Evasion Problem
102
3
General Solution for Ideal Adversaries
105
2
Numerical Examples
107
18
Conclusions
125
2
References
126
1
Optimal Guidance with Reduced Sensitivity to Time-to-Go Estimation Errors
127
14
Introduction
127
1
Problem Formulation
128
1
Optimal Feedback Solution
129
2
MATLAB Simulation
131
1
Numerical Results
131
8
Conclusions
139
2
References
140
1
Robust Guidance Methods
141
18
Introduction
141
1
The Problem of Uncertain T
141
2
The Auxiliary Problem
143
4
MATLAB Simulation
147
1
Numerical Example
148
6
Conclusions
154
5
References
157
2
Optimal Guidance with Multiple Targets
159
12
Introduction
159
1
Terminal and Interior Point Constraints
159
1
Problem Formulation
160
1
Optimal Solution
160
4
Special Cases
164
2
Numerical Example
166
3
Conclusions
169
2
References
169
2
Appendix A Justification of the Sweep Assumption
171
4
Appendix B Mathematical Computations with MAPLE
175
6
I. General
175
1
II. Program Description and Its Use in This Book
175
1
III. Assigning and Unassigning Variables
175
1
IV. Evaluating Expressions
176
1
V. Solving Equations
176
1
VI. Linear Algebra
177
1
VII. Representative Examples
178
1
VIII. Concluding Remarks
179
2
References
179
2
Appendix C Numerical Computations with MATLAB
181
6
I. Scope
181
1
II. Brief Introduction to MATLAB
181
3
III. Demonstrative Example
184
2
IV. Usage of the MATLAB Programs
186
1
V. Concluding Remarks
186
1
Reference
186
1
Index
187