《Differential Game Theory with Applications to Missiles and Autonomous Syst...
《Differential Game Theory with Applications to Missiles and Autonomous Systems Guidance》微分对策理论及其在导弹和自治系统制导中的应用
作者：Farhan A. Faruqi
Defence Science & Technology Organisation
Australia
出版社：Wiley
出版时间：2017年
目录
Preface xi
Acknowledgments xiii
About the CompanionWebsite xv
Differential Game Theory and Applications to Missile Guidance 1
Nomenclature 1
Abbreviations 2
1.1 Introduction 2
1.1.1 Need for Missile Guidance—Past, Present, and Future 2
1.2 GameTheoretic Concepts and Definitions 3
1.3 GameTheory Problem Examples 4
1.3.1 Prisoner’s Dilemma 4
1.3.2 The Game of Tic-Tac-Toe 6
1.4 GameTheory Concepts Generalized 8
1.4.1 Discrete-Time Game 8
1.4.2 Continuous-Time Differential Game 9
1.5 Differential Game Theory Application to Missile Guidance 10
1.6 Two-Party andThree-Party Pursuit-Evasion Game 11
1.7 Book Chapter Summaries 11
1.7.1 A Note on the Terminology Used In the Book 13
References 14
Optimum Control and Differential Game Theory 16
Nomenclature 16
Abbreviations 17
2.1 Introduction 17
2.2 Calculus of Optima (Minimum or Maximum) for a Function 18
2.2.1 On the Existence of the Necessary and Sufficient Conditions
for an Optima 18
2.2.2 Steady State Optimum Control Problem with Equality Constraints
Utilizing Lagrange Multipliers 19
2.2.3 Steady State Optimum Control Problem for a Linear System with
Quadratic Cost Function 22
2.3 Dynamic Optimum Control Problem 23
2.3.1 Optimal Control with Initial and Terminal Conditions Specified 23
2.3.2 Boundary (Transversality) Conditions 25
2.3.3 Sufficient Conditions for Optimality 29
2.3.4 Continuous Optimal Control with Fixed Initial Condition and
Unspecified Final Time 30
2.3.5 A Further Property of the Hamiltonian 35
2.3.6 Continuous Optimal Control with Inequality Control Constraints—
the Pontryagin’s Minimum (Maximum) Principle 36
2.4 Optimal Control for a Linear Dynamical System 38
2.4.1 The LQPI Problem—Fixed Final Time 38
2.5 Optimal Control Applications in Differential GameTheory 40
2.5.1 Two-Party Game Theoretic Guidance for Linear Dynamical Systems 41
2.5.2 Three-Party GameTheoretic Guidance for Linear Dynamical Systems 44
2.6 Extension of the Differential GameTheory to Multi-Party Engagement 50
2.7 Summary and Conclusions 50
References 51
Appendix 53
Differential Game Theory Applied to Two-Party Missile Guidance
Problem 63
Nomenclature 63
Abbreviations 64
3.1 Introduction 64
3.2 Development of the Engagement KinematicsModel 67
3.2.1 Relative Engage Kinematics of n Versus m Vehicles 68
3.2.2 Vector/Matrix Representation 69
3.3 Optimum Interceptor/Target Guidance for a Two-Party Game 70
3.3.1 Construction of the Differential Game Performance Index 70
3.3.2 Weighting Matrices S, Rp, Re 72
3.3.3 Solution of the Differential Game Guidance Problem 73
3.4 Solution of the Riccati Differential Equations 75
3.4.1 Solution of the Matrix Riccati Differential Equations (MRDE) 75
3.4.2 State Feedback Guidance Gains 76
3.4.3 Solution of the Vector Riccati Differential Equations (VRDE) 77
3.4.4 Analytical Solution of the VRDE for the Special Case 78
3.4.5 Mechanization of the GameTheoretic Guidance 79
3.5 Extension of the Game Theory to Optimum Guidance 79
3.6 Relationship with the Proportional Navigation (PN) and the
Augmented PN Guidance 81
3.7 Conclusions 82
References 82
Appendix 84
Three-Party Differential Game Theory Applied toMissile Guidance
Problem 102
Nomenclature 102
Abbreviations 103
4.1 Introduction 103
4.2 Engagement KinematicsModel 104
4.2.1 Three-Party Engagement Scenario 105
4.3 Three-Party Differential Game Problem and Solution 107
4.4 Solution of the Riccati Differential Equations 111
4.4.1 Solution of the Matrix Riccati Differential Equation (MRDE) 111
4.4.2 Solution of the Vector Riccati Differential Equation (VRDE) 112
4.4.3 Further Consideration of Performance Index (PI)Weightings 115
4.4.4 Game Termination Criteria and Outcomes 116
4.5 Discussion and Conclusions 116
References 117
Appendix 118
Four Degrees-of-Freedom (DOF) Simulation Model for Missile Guidance
and Control Systems 125
Nomenclature 125
Abbreviations 126
5.1 Introduction 126
5.2 Development of the Engagement KinematicsModel 126
5.2.1 Translational Kinematics for Multi-Vehicle Engagement 126
5.2.2 Vector/Matrix Representation 128
5.2.3 Rotational Kinematics: Relative Range, Range Rates, Sightline Angles,
and Rates 128
5.3 Vehicle NavigationModel 130
5.3.1 Application of Quaternion to Navigation 131
5.4 Vehicle Body Angles and Flight Path Angles 133
5.4.1 Computing Body Rates (pi, qi, ri) 134
5.5 Vehicle Autopilot Dynamics 135
5.6 Aerodynamic Considerations 135
5.7 Conventional Guidance Laws 136
5.7.1 Proportional Navigation (PN) Guidance 136
5.7.2 Augmented Proportional Navigation (APN) Guidance 137
5.7.3 Optimum Guidance and Game Theory–Based Guidance 137
5.8 Overall State Space Model 138
5.9 Conclusions 138
References 139
Appendix 140
Three-Party Differential Game Missile Guidance Simulation Study 150
Nomenclature 150
Abbreviations 150
6.1 Introduction 151
6.2 Engagement KinematicsModel 151
6.3 GameTheory Problem and the Solution 154
6.4 Discussion of the Simulation Results 157
6.4.1 GameTheory Guidance Demonstrator Simulation 157
6.4.2 GameTheory Guidance Simulation Including Disturbance Inputs 160
6.5 Conclusions 162
6.5.1 Useful Future Studies 162
References 163
Appendix 164
Addendum 165
Index 189
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**** Hidden Message ***** 下載收藏,謝謝分享! 人人学雷锋 谢谢分享。 雷锋同志，你好 请叫我雷锋 发表于 2017-8-9 15:19
《Differential Game Theory with Applications to Missiles and Autonomous Systems Guidance》
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雷锋同志 好书 thanks 谢谢 好资料，谢谢提供