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E-grāmata: Satellite Formation Flying: Relative Dynamics, Formation Design, Fuel Optimal Maneuvers and Formation Maintenance

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Satellite Formation Flying: Relative Dynamics, Formation Design, Fuel Optimal Maneuvers and Formation MaintenancePalielināt
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This book systematically describes the concepts and principles for multi-satellite relative motion, passive and near passive formation designs, trajectory planning and control for fuel optimal formation maneuvers, and formation flying maintenance control design. As such, it provides a sound foundation for researchers and engineers in this field to develop further theories and pursue their implementations.

Though satellite formation flying is widely considered to be a major advance in space technology, there are few systematic treatments of the topic in the literature. Addressing that gap, the book offers a valuable resource for academics, researchers, postgraduate students and practitioners in the field of satellite science and engineering.
1 Introduction
1(8)
1.1 Background
1(3)
1.1.1 Motivations
1(1)
1.1.2 Applications
2(1)
1.1.3 Challenges
3(1)
1.2 Objectives of This Book
4(1)
1.3 Preview of
Chapters
5(4)
References
6(3)
2 Dynamic Models of Satellite Relative Motion Around an Oblate Earth
9(34)
2.1 Introduction
9(2)
2.2 Nonlinear Dynamic Model of Relative Motion
11(9)
2.2.1 J2 Reference Satellite Dynamics in LVLH Frame
11(4)
2.2.2 Derivation of Exact J2 Nonlinear Relative Dynamics
15(5)
2.3 Linearized Dynamic Models of Relative Motion
20(3)
2.4 Validation of Proposed Dynamic Models by Simulation
23(5)
2.5 Comparison Study of Relative Dynamic Models
28(11)
2.5.1 Comparison Method with Model Error Index
28(2)
2.5.2 Selected Dynamic Models for Comparison Study
30(4)
2.5.3 Case Studies
34(5)
2.6 Summary
39(4)
References
40(3)
3 Passive and Periodic Satellite Formation Design Around an Oblate Earth
43(30)
3.1 Introduction
43(2)
3.2 Passive and Periodic Relative Motion Under J2 Perturbation
45(4)
3.3 Periodic and Quasi-periodic Relative Orbits at Critical Inclination
49(12)
3.3.1 Periodic Relative Orbit
49(1)
3.3.2 Quasi-periodic Relative Orbit
50(6)
3.3.3 Quasi-periodic Relative Orbit Conditions in Terms of Actual Orbit Variables
56(2)
3.3.4 Numerical Simulations
58(3)
3.4 In-Plane Satellite Formation in Eccentric Orbits
61(10)
3.4.1 Identical Anomaly In-Plane Formation
62(1)
3.4.2 Differential Anomaly In-Plane Formation
63(6)
3.4.3 Almost Constant Separation Formation
69(2)
3.5 Conclusions
71(2)
References
72(1)
4 Nonlinear Optimization of Low-Thrust Trajectory for Satellite Formation
73(28)
4.1 Introduction
73(3)
4.2 Nonlinear Relative Motion Dynamics
76(1)
4.3 Problem Formulation of Trajectory Optimization for Satellite Formation
77(4)
4.3.1 Initial Condition Constraints
78(1)
4.3.2 Final Condition Constraints
78(1)
4.3.3 Path Constraints
79(1)
4.3.4 Linking Constraints
80(1)
4.4 Introduction of Legendre Pseudospectral Method
81(2)
4.5 Computational Considerations of Nonlinear Programming Problem
83(1)
4.6 Scaling of Nonlinear Programming Problem
83(1)
4.6.1 Initial Guess
84(1)
4.6.2 Implementation
84(1)
4.7 Illustrative Examples
84(14)
4.7.1 Example 1: Scenario of Two Satellites, One Burn Phase
85(5)
4.7.2 Example 2: Scenario of Two Satellites, Two Phases: Coast--Burn
90(1)
4.7.3 Example 3: Scenario of Two Satellites, Three Phases: Burn--Coast--Burn
91(1)
4.7.4 Example 4: Scenario of Two Satellites, Four Phases: Coast--Burn--Coast--Burn
91(3)
4.7.5 Example 5: Scenario of Formation Reconfiguration Involving Four Satellites
94(1)
4.7.6 Example 6: Scenario of Collision Avoidance Validation
95(3)
4.8 Conclusions
98(3)
References
98(3)
5 Optimal Control for Satellite Formation Keeping
101(30)
5.1 Introduction
101(4)
5.1.1 Leader--Follower Formation Keeping Approaches
102(1)
5.1.2 Decentralized Formation Keeping Approaches
103(2)
5.2 Real-Time Optimal Formation Keeping in Leader--Follower Frame
105(7)
5.2.1 Real-Time Optimal Control Law Design
105(3)
5.2.2 Discretization Using Legendre Pseudospectral Method
108(1)
5.2.3 Computational Considerations of Quadratic Programming Problem
109(1)
5.2.4 Numerical Simulations
109(3)
5.3 Decentralized Formation Control Using Local Relative Measurements
112(15)
5.3.1 Problem Formulation of Decentralized Formation Control
113(3)
5.3.2 Decentralized Formation Control Design
116(5)
5.3.3 Optimal Guaranteed Cost Control Design
121(3)
5.3.4 Simulation Results
124(3)
5.4 Conclusions
127(4)
References
129(2)
6 Decentralized Control for Attitude Synchronization Under Undirected Communication Topology
131(34)
6.1 Introduction
131(2)
6.2 Satellite Attitude Dynamics
133(3)
6.3 Problem Formulation of Attitude Synchronization
136(1)
6.4 Decentralized Robust Adaptive Control for Attitude Synchronization
136(9)
6.4.1 Multi-satellite Sliding Manifold
137(2)
6.4.2 Decentralized Adaptive Sliding Mode Control Design
139(4)
6.4.3 Smoothing Control Law
143(2)
6.5 Velocity-Free Coordinated Attitude Control
145(5)
6.6 Simulation Studies
150(11)
6.6.1 Decentralized Adaptive Sliding Mode Control
151(6)
6.6.2 Velocity-Free Coordinated Attitude Control
157(4)
6.7 Conclusions
161(4)
References
161(4)
7 Decentralized Control for Attitude Synchronization Under Directed Communication Topology
165(28)
7.1 Introduction
165(1)
7.2 Decentralized Adaptive Robust Control for Attitude Synchronization
166(5)
7.2.1 Multi-satellite Sliding Manifold
166(1)
7.2.2 Decentralized Adaptive Sliding Mode Control Design
167(4)
7.3 Decentralized Adaptive Backstepping Control for Attitude Synchronization with Communication Delay
171(6)
7.4 Numerical Results
177(13)
7.4.1 Decentralized Adaptive Sliding Mode Control
178(6)
7.4.2 Decentralized Adaptive Backstepping Control
184(6)
7.5 Conclusions
190(3)
References
191(2)
8 Conclusions
193(4)
8.1 Summary
193(2)
8.2 Trends and Challenges
195(2)
References
196(1)
Appendix A Algebraic Graph Theory 197(2)
Appendix B Optimal Guaranteed Cost Control 199(4)
Appendix C Nomenclature 203
Dr. Danwei Wang obtained his MSc and PhD degrees from the University of Michigan, Ann Arbor, in 1985 and 1989 respectively. Currently, he is a full-time professor in the school of Electrical and Electronic Engineering, and director of the Centre for E-City in Nanyang Technological University. His research domains include dynamics and control with applications, such as satellite control and robotics. Up to now, he has published more than 350 journal and conference papers with over 2500 SCI citations as of Feb 2015. Dr Wang is a senior member of IEEE and has served as general chair, technical program chair and many positions in numerous international academic conferences. Recently, Dr Wang has successfully concluded a few funded research projects on satellite formation flying and attitude control. These research projects have systematically studied the related topics for satellite formation flying.

Dr. Baolin Wu received the B.E and the M.E degrees in Aerospace Engineering from the Harbin Institute of Technology, Harbin, China, in 2003 and 2005 respectively, and the Ph.D. degree on the topic of satellite formation control from Nanyang Technological University, Singapore, in 2011. From 2011 to 2013, he worked as a research engineer on satellite attitude determination and control system in ST Electronics (Satellite Systems) Pte Ltd, Singapore. Since 2014, He has been with Research Center of Satellite Technology, Haribn Institute of Technology, China, where he is currently an Associate Professor. He was recognized as an outstanding young scholar by Harbin Institute of Technology in 2014. His current research interests are in the area of satellite formation control, trajectory optimization and attitude control.

Dr. Poh Eng Kee rceived his M. Sc (Elec. Eng.: Systems) and PhD (Elec. Eng.: Systems) from the University of Michigan in 1990 and 1993 respectively. Dr. Poh is presently a distinguished member of technical staff (DMTS) cum Laboratory Head (Guidance, Navigation and Control) in DSO, responsible for advancing guidance, navigation and control technologies development for applications in flight vehicles and unmanned platforms. Dr Poh is also an adjunct associate professor with the School of Electrical and Electrical Engineering, Nanyang Technological University.
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