Nonlinear control and synchronization of multiple Lagrangian systems with application to tethered formation flight spacecraft

Thesis (Sc. D.)--Massachusetts Institute of Technology, Dept. of Aeronautics and Astronautics, 2007.

[1]  M. Golubitsky,et al.  SYNCHRONY VERSUS SYMMETRY IN COUPLED CELLS , 2005 .

[2]  H. H. Mabie,et al.  Transverse Vibrations of Double‐Tapered Cantilever Beams , 1972 .

[3]  J. Junkins,et al.  Optimal Estimation of Dynamic Systems , 2004 .

[4]  D. C. Lewis Metric Properties of Differential Equations , 1949 .

[5]  B. Wong,et al.  Dynamics of Lagrangian Point Multi-Tethered Satellite Systems , 2005 .

[6]  J. David Powell,et al.  Recent laboratory results of the KITE attitude dynamics simulator , 1988 .

[7]  Naomi Ehrich Leonard,et al.  Stable Synchronization of Mechanical System Networks , 2008, SIAM J. Control. Optim..

[8]  Arjan van der Schaft,et al.  Dynamics and control of a class of underactuated mechanical systems , 1999, IEEE Trans. Autom. Control..

[9]  Parlitz,et al.  Encoding messages using chaotic synchronization. , 1996, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.

[10]  D I Soloway,et al.  Neural Generalized Predictive Control: A Newton-Raphson Implementation , 1997 .

[11]  David W. Miller,et al.  Optimal Control of Power Flow at Structural Junctions , 1989, American Control Conference.

[12]  Pam Haley,et al.  Generalized predictive control for active flutter suppression , 1997 .

[13]  K.Y. Pettersen,et al.  Control of ship replenishment by output feedback synchronization , 2005, Proceedings of OCEANS 2005 MTS/IEEE.

[14]  J. Slotine,et al.  Contraction Analysis of Time-Delayed Communications Using Simplified Wave Variables , 2005, nlin/0512070.

[15]  Shaohua Yu Dynamic Model and Control of Mass-Distributed Tether Satellite System , 2002 .

[16]  Carroll,et al.  Synchronization in chaotic systems. , 1990, Physical review letters.

[17]  Mark W. Spong Remarks on robot dynamics: canonical transformations and Riemannian geometry , 1992, Proceedings 1992 IEEE International Conference on Robotics and Automation.

[18]  Mark W. Spong,et al.  Bilateral teleoperation: An historical survey , 2006, Autom..

[19]  David T. Leisawitz,et al.  Far-Infrared/Submillimeter Astronomical Interferometry with Spaceborne Tether Formations , 2006 .

[20]  David C. Hyland,et al.  ADAPTIVE NEURAL CONTROL FOR MACE II , 1999 .

[21]  Munther A. Dahleh,et al.  A computationally efficient Lyapunov-based scheduling procedure for control of nonlinear systems with stability guarantees , 2000, IEEE Trans. Autom. Control..

[22]  Claire J. Tomlin,et al.  Nonlinear systems: analysis, stability, and control, Shankar Sastry, Springer‐Verlag, New York, NY, 1999, 667 pages. ISBN 0‐387‐98513‐1. , 2001 .

[23]  Jean-Jacques E. Slotine,et al.  Contraction Analysis of Nonlinear Distributed Systems , 2004 .

[24]  Jerrold E. Marsden,et al.  Relative equilibria for the generalized rigid body , 2005 .

[25]  N. A. Bernshteĭn The co-ordination and regulation of movements , 1967 .

[26]  Arthur E. Bryson,et al.  Applied Optimal Control , 1969 .

[27]  E. Feron,et al.  Robust hybrid control for autonomous vehicle motion planning , 2000, Proceedings of the 39th IEEE Conference on Decision and Control (Cat. No.00CH37187).

[28]  Robert M. Sanner,et al.  Gaussian Networks for Direct Adaptive Control , 1991, 1991 American Control Conference.

[29]  Bong Wie,et al.  Space Vehicle Dynamics and Control , 1998 .

[30]  Panagiotis Tsiotras,et al.  Control of underactuated spacecraft with bounded inputs , 2000, Autom..

[31]  H. Hemami,et al.  Modeling of a Neural Pattern Generator with Coupled nonlinear Oscillators , 1987, IEEE Transactions on Biomedical Engineering.

[32]  Eduardo Sontag A Lyapunov-Like Characterization of Asymptotic Controllability , 1983, SIAM Journal on Control and Optimization.

[33]  Weiping Li,et al.  Applied Nonlinear Control , 1991 .

[34]  Joel W. Burdick Global Kinematics for Manipulator Planning and Control , 1990, Other Conferences.

[35]  P. Gurfil,et al.  Adaptive neural control of deep-space formation flying , 2002, Proceedings of the 2002 American Control Conference (IEEE Cat. No.CH37301).

[36]  Petter Ögren,et al.  Cooperative control of mobile sensor networks:Adaptive gradient climbing in a distributed environment , 2004, IEEE Transactions on Automatic Control.

[37]  Chris Arney Sync: The Emerging Science of Spontaneous Order , 2007 .

[38]  Raymond J. Sedwick,et al.  Propellantless spin-up of tethered or electromagnetically coupled sparse apertures , 2002, SPIE Astronomical Telescopes + Instrumentation.

[39]  David W. Miller,et al.  DEVELOPMENT AND VALIDATION OF REACTION WHEEL DISTURBANCE MODELS: EMPIRICAL MODEL , 2002 .

[40]  Vinod J. Modi,et al.  Order-N Formulation and Dynamics of Multibody Tethered Systems , 1998 .

[41]  Naoji Shiroma,et al.  Collision-Free Trajectory Planning for a 3-DoF Robot with a Passive Joint , 2000, Int. J. Robotics Res..

[42]  Hironori A. Fujii,et al.  Libration Control of Flexible Tethers Using Electromagnetic Forces and Movable Attachment , 2003 .

[43]  David W. Miller,et al.  Dynamics and control of electromagnetic satellite formations , 2006, 2006 American Control Conference.

[44]  S. Shankar Sastry,et al.  Adaptive Control of Mechanical Manipulators , 1987, Proceedings. 1986 IEEE International Conference on Robotics and Automation.

[45]  Claudio Bombardelli,et al.  Formation pointing dynamics of tether-connected architecture for space interferometry , 2004 .

[46]  Jean-Jacques E. Slotine,et al.  Stable concurrent synchronization in dynamic system networks , 2005, Neural Networks.

[47]  R. M. Sanner,et al.  Structurally dynamic wavelet networks for the adaptive control of uncertain robotic systems , 1995, Proceedings of 1995 34th IEEE Conference on Decision and Control.

[48]  C. M. Place,et al.  Ordinary Differential Equations , 1982 .

[49]  Mehran Mesbahi,et al.  Formation flying control of multiple spacecraft via graphs , 2001 .

[50]  P. Krishnaprasad,et al.  Oscillations, SE(2)-snakes and motion control: A study of the Roller Racer , 2001 .

[51]  Richard M. Murray,et al.  Nonlinear Control of Mechanical Systems: A Lagrangian Perspective , 1995 .

[52]  K. S. Narendra,et al.  Neural networks for control theory and practice , 1996, Proc. IEEE.

[53]  Simon C. O. Grocott,et al.  Comparison of control techniques for robust performance on uncertain structural systems , 1994 .

[54]  Panagiotis Tsiotras,et al.  Reduced Effort Control Laws for Underactuated Rigid Spacecraft , 1997 .

[55]  Lee G. Mundy,et al.  The Submillimeter Frontier: A Space Science Imperative , 1998 .

[56]  Perry Y. Li,et al.  Formation and maneuver control of multiple spacecraft , 2003, Proceedings of the 2003 American Control Conference, 2003..

[57]  Hironori A. Fujii,et al.  An analysis of vibration and wave-absorbing control of tether systems , 2001 .

[58]  Kuo-Chia Liu Stochastic performance analysis and staged control system designs for space based interferometers , 2003 .

[59]  Heidi M. Rockwood,et al.  Huygens's clocks , 2002, Proceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences.

[60]  Eric N. Johnson,et al.  Limited authority adaptive flight control for reusable launch vehicles , 2003 .

[61]  Fernando Paganini,et al.  Distributed control of spatially invariant systems , 2002, IEEE Trans. Autom. Control..

[62]  Ali Jadbabaie,et al.  Receding horizon control of nonlinear systems: A control Lyapunov function approach , 2001 .

[63]  James Park,et al.  The Brain's Sense of Movement , 2003, The Yale Journal of Biology and Medicine.

[64]  Dongbin Zhao,et al.  Design of a stable sliding-mode controller for a class of second-order underactuated systems , 2004 .

[65]  T.I. Fossen,et al.  Formation Control of Marine Surface Craft using Lagrange Multipliers , 2005, Proceedings of the 44th IEEE Conference on Decision and Control.

[66]  Ilya V. Kolmanovsky,et al.  Nonlinear attitude and shape control of spacecraft with articulated appendages and reaction wheels , 2000, IEEE Trans. Autom. Control..

[67]  Panagiotis Tsiotras,et al.  A 3-DoF Experimental Test-Bed for Integrated Attitude Dynamics and Control Research , 2003 .

[68]  Wilson J. Rugh,et al.  Research on gain scheduling , 2000, Autom..

[69]  Bernard Espiau,et al.  A Study of the Passive Gait of a Compass-Like Biped Robot , 1998, Int. J. Robotics Res..

[70]  Emilio Bizzi,et al.  Modular organization of motor behavior in the frog's spinal cord , 1995, Trends in Neurosciences.

[71]  Andrew W. Moore,et al.  Locally Weighted Learning for Control , 1997, Artificial Intelligence Review.

[72]  Mingjun Zhang,et al.  A hybrid switching control strategy for nonlinear and underactuated mechanical systems , 2003, IEEE Trans. Autom. Control..

[73]  Kevin M. Passino,et al.  Intelligent Control for an Acrobot , 1997, J. Intell. Robotic Syst..

[74]  R. Murray,et al.  Configuration Flatness of Lagrangian Systems Underactuated by One Control , 1998 .

[75]  Naomi Ehrich Leonard,et al.  Potential and kinetic shaping for control of underactuated mechanical systems , 2000, Proceedings of the 2000 American Control Conference. ACC (IEEE Cat. No.00CH36334).

[76]  Mark W. Spong,et al.  Further results on control of the compass gait biped , 2003, Proceedings 2003 IEEE/RSJ International Conference on Intelligent Robots and Systems (IROS 2003) (Cat. No.03CH37453).

[77]  Jean-Jacques E. Slotine,et al.  Nonlinear process control using contraction theory , 2000 .

[78]  Naomi Ehrich Leonard,et al.  Virtual leaders, artificial potentials and coordinated control of groups , 2001, Proceedings of the 40th IEEE Conference on Decision and Control (Cat. No.01CH37228).

[79]  Russell L. Tedrake,et al.  Applied optimal control for dynamically stable legged locomotion , 2004 .

[80]  Alvar Saenz-Otero,et al.  SPHERES as a Formation Flight Algorithm Development and Validation Testbed: Current Progress and Beyond , 2004 .

[81]  Jason L. Speyer,et al.  Decentralized Control of Satellite Clusters Under Limited Communication , 2002 .

[82]  Benjamin Kuipers,et al.  Qualitative Hybrid Control of Dynamic Bipedal Walking , 2006, Robotics: Science and Systems.

[83]  Vijay Kumar,et al.  Cooperative Control of Robot Formations , 2002 .

[84]  P. Wang,et al.  Synchronized Formation Rotation and Attitude Control of Multiple Free-Flying Spacecraft , 1997 .

[85]  Jean-Jacques E. Slotine,et al.  On partial contraction analysis for coupled nonlinear oscillators , 2004, Biological Cybernetics.

[86]  Kenji Doya,et al.  Neural mechanisms of learning and control , 2001 .

[87]  H. Nijmeijer,et al.  Partial synchronization: from symmetry towards stability , 2002 .

[88]  D. Bernstein,et al.  Dynamics and control of a 3D pendulum , 2004, 2004 43rd IEEE Conference on Decision and Control (CDC) (IEEE Cat. No.04CH37601).

[89]  Soon-Jo Chung,et al.  ARGOS testbed: study of multidisciplinary challenges of future spaceborne interferometric arrays , 2004 .

[90]  Saburo Matunaga,et al.  On Attitude Maneuver of Spinning Tethered Formation Flying Based on Virtual Structure Method , 2005 .

[91]  Arun K. Misra,et al.  Dynamics and control of tethered satellite systems , 2008 .

[92]  P. Crouch,et al.  Spacecraft attitude control and stabilization: Applications of geometric control theory to rigid body models , 1984 .

[93]  Arun K. Misra Equilibrium configurations of tethered three-body systems and their stability , 2002 .

[94]  Mark W. Spong,et al.  The swing up control problem for the Acrobot , 1995 .

[95]  Roy S. Smith,et al.  Control of Deep-Space Formation-Flying Spacecraft; Relative Sensing and Switched Information , 2005 .

[96]  M. Spong,et al.  Stable flocking of multiple inertial agents on balanced graphs , 2006, 2006 American Control Conference.

[97]  H. Kojima,et al.  Nonlinear control of librational motion of tethered satellites in elliptic orbits , 2004 .

[98]  Adonis Bogris,et al.  Chaos-based communications at high bit rates using commercial fibre-optic links , 2006, SPIE/OSA/IEEE Asia Communications and Photonics.

[99]  Alexander Y. Bogdanov,et al.  Optimal Control of a Double Inverted Pendulum on a Cart , 2004 .

[100]  N. H. McClamroch,et al.  Feedback control of triaxial attitude control testbed actuated by two proof mass devices , 2002, Proceedings of the 41st IEEE Conference on Decision and Control, 2002..

[101]  M. Vidyasagar,et al.  Nonlinear systems analysis (2nd ed.) , 1993 .

[102]  Mark W. Spong,et al.  Robot dynamics and control , 1989 .

[103]  S. Tragesser,et al.  Formation flying with tethered spacecraft , 2000 .

[104]  O. Egeland,et al.  Passivity-based adaptive attitude control of a rigid spacecraft , 1994, IEEE Trans. Autom. Control..

[105]  I. Stewart,et al.  Coupled nonlinear oscillators and the symmetries of animal gaits , 1993 .

[106]  Jie Lin,et al.  Coordination of groups of mobile autonomous agents using nearest neighbor rules , 2003, IEEE Trans. Autom. Control..

[107]  David W. Miller,et al.  Control testbeds and flight demonstrations: transitioning theory to application , 1998, Proceedings of the 1998 American Control Conference. ACC (IEEE Cat. No.98CH36207).

[108]  Jean-Jacques E. Slotine,et al.  Hamiltonian adaptive control of spacecraft , 1990 .

[109]  D. Syvridis,et al.  Spectral synchronization in chaotic optical communication systems , 2005, IEEE Journal of Quantum Electronics.

[110]  Mark Ole Hilstad A multi-vehicle testbed and interface framework for the development and verification of separated spacecraft control algorithms , 2002 .

[111]  Jean-Jacques E. Slotine,et al.  Modular stability tools for distributed computation and control , 2003 .

[112]  Yasuo Kuniyoshi,et al.  Synchronization : Adaptive Mechanism Linking Internal and External Dynamics , 2006 .

[113]  N.H. McClamroch,et al.  Control of a dumbbell spacecraft using attitude and shape control inputs only , 2004, Proceedings of the 2004 American Control Conference.

[114]  Gilbert Strang,et al.  Introduction to applied mathematics , 1988 .

[115]  Xiaoming Hu,et al.  A control Lyapunov function approach to multiagent coordination , 2002, IEEE Trans. Robotics Autom..

[116]  Anthony B. Decou Tether static shape for rotating multimass, multitether, spacecraft for 'triangle' Michelson interferometer , 1989 .

[117]  M. Quadrelli,et al.  Modeling and dynamics of tethered formations for space interferometry , 2000 .

[118]  Christopher D. Hall,et al.  Control of a Rotating Variable-Length Tethered System , 2004 .

[119]  Mireille E. Broucke,et al.  Local control strategies for groups of mobile autonomous agents , 2004, IEEE Transactions on Automatic Control.

[120]  C. Beichman,et al.  The Terrestrial Planet Finder (TPF) : a NASA Origins Program to search for habitable planets , 1999 .

[121]  Jean-Jacques E. Slotine,et al.  Modularity, evolution, and the binding problem: a view from stability theory , 2001, Neural Networks.

[122]  K. Kumar Review of Dynamics and Control of Nonelectrodynamic Tethered Satellite Systems , 2006 .

[123]  A. D. Lewis,et al.  Geometric control of mechanical systems : modeling, analysis, and design for simple mechanical control systems , 2005 .

[124]  TORSIONAL FREE VIBRATION OF A CYLINDER WITH VARYING CROSS-SECTION AND ADHESIVE MASSES , 2001 .

[125]  Dongjun Lee,et al.  Passive Bilateral Teleoperation With Constant Time Delay , 2006, IEEE Transactions on Robotics.

[126]  A. Bloch,et al.  Nonholonomic Mechanics and Control , 2004, IEEE Transactions on Automatic Control.

[127]  Kumpati S. Narendra,et al.  Exact output tracking in decentralized adaptive control systems , 2002, IEEE Trans. Autom. Control..

[128]  R. Plunkett,et al.  Formulas for Stress and Strain , 1965 .

[129]  Alvar,et al.  Design principles for the development of space technology maturation laboratories aboard the International Space Station , 2005 .

[130]  A. Morse,et al.  Basic problems in stability and design of switched systems , 1999 .

[131]  David W. Miller,et al.  A travelling wave approach to power flow in structural networks , 1989 .

[132]  Soon-Jo Chung,et al.  SPHERES tethered formation flight testbed: advancements in enabling NASA's SPECS mission , 2006, SPIE Astronomical Telescopes + Instrumentation.

[133]  K. D. Kumar,et al.  Rotation Formation Flying of Three Satellites Using Tethers , 2004 .

[134]  A. Rantzer A dual to Lyapunov's stability theorem , 2001 .

[135]  Eduardo Sontag A universal construction of Artstein's theorem on nonlinear stabilization , 1989 .

[136]  Soon-Jo Chung,et al.  Nonlinear Model Reduction and Decentralized Control of Tethered Formation Flight , 2007 .

[137]  Jerrold E. Marsden,et al.  Reduction of Controlled Lagrangian and Hamiltonian Systems with Symmetry , 2004, SIAM J. Control. Optim..

[138]  Mark W. Spong,et al.  On synchronization of networked passive systems with time delays and application to bilateral teleoperation , 2005 .

[139]  R. Murray,et al.  Differential Flatness of Mechanical Control Systems: A Catalog of Prototype Systems , 1995 .

[140]  Emilio Bizzi,et al.  Combinations of muscle synergies in the construction of a natural motor behavior , 2003, Nature Neuroscience.

[141]  Kamesh Subbarao,et al.  Structured Model Reference Adaptive Control for a Class of Nonlinear Systems , 2003 .

[142]  David W. Miller,et al.  Experimental results using active control of traveling wave power flow , 1991 .

[143]  Miroslav Krstic,et al.  Stabilization of stochastic nonlinear systems driven by noise of unknown covariance , 2001, IEEE Trans. Autom. Control..

[144]  David W. Clarke,et al.  Generalized predictive control - Part I. The basic algorithm , 1987, Autom..

[145]  Henk Nijmeijer,et al.  Mutual synchronization of robots via estimated state feedback: a cooperative approach , 2004, IEEE Transactions on Control Systems Technology.

[146]  Fredrik Rehnmark,et al.  Robonaut: NASA's Space Humanoid , 2000, IEEE Intell. Syst..

[147]  Richard M. Murray,et al.  Consensus problems in networks of agents with switching topology and time-delays , 2004, IEEE Transactions on Automatic Control.

[148]  Bruno Sinopoli,et al.  Distributed control applications within sensor networks , 2003, Proc. IEEE.

[149]  Richard M. Murray,et al.  A Mathematical Introduction to Robotic Manipulation , 1994 .

[150]  Jean-Jacques E. Slotine,et al.  Control system design for mechanical systems using contraction theory , 2000, IEEE Trans. Autom. Control..

[151]  Hironori A. Fujii,et al.  Wave-absorbing control of transverse vibration of tether system , 2003 .

[152]  Jinjun Shan,et al.  Close-Formation Flight Control with Motion Synchronization , 2005 .

[153]  Reza Olfati-Saber,et al.  Nonlinear control of underactuated mechanical systems with application to robotics and aerospace vehicles , 2001 .

[154]  Panagiotis Tsiotras,et al.  A novel approach to the attitude control of axisymmetric spacecraft , 1995, Autom..

[155]  Soon-Jo Chung,et al.  Dynamics and control of tethered formation flight spacecraft using the SPHERES testbed , 2005 .

[156]  Jean-Jacques E. Slotine,et al.  On Contraction Analysis for Nonlinear Systems Analyzing stability differentially leads to a new perspective on nonlinear dynamic systems , 1999 .

[157]  Claudio Bombardelli,et al.  Retargeting Dynamics of a Linear Tethered Interferometer , 2003 .

[158]  Saburo Matunaga,et al.  Formation Deployment Control for Spinning Tethered Formation Flying -Simulations and Ground Experiments- , 2004 .

[159]  Jerrold E. Marsden,et al.  Stabilization of rigid body dynamics by internal and external torques , 1992, Autom..

[160]  Miroslav Krstic,et al.  Output-feedback stochastic nonlinear stabilization , 1999, IEEE Trans. Autom. Control..

[161]  David A. Quinn,et al.  Tethered Formation Configurations: Meeting the Scientific Objectives of Large Aperture and Interferometric Science , 2001 .

[162]  Hironori A. Fujii,et al.  Deployment/retrieval control of a tethered subsatellite under effect of tether elasticity , 1996 .

[163]  J. Slotine,et al.  On the Adaptive Control of Robot Manipulators , 1987 .

[164]  B. P. Demidovich THE DISSIPATIVITY OF A CERTAIN NONLINEAR SYSTEM OF DIFFERENTIAL EQUATIONS, 1 , 1961 .

[165]  Naomi Ehrich Leonard,et al.  Controlled Lagrangian Systems with Gyroscopic Forcing and Dissipation , 2004, Eur. J. Control.

[166]  Winfried Lohmiller,et al.  Higher-Order Nonlinear Contraction Analysis , 2005, nlin/0510025.

[167]  Jean-Jacques E. Slotine,et al.  Telemanipulation with Time Delays , 2004, Int. J. Robotics Res..

[168]  Oussama Khatib,et al.  Vehicle/arm coordination and multiple mobile manipulator decentralized cooperation , 1996, Proceedings of IEEE/RSJ International Conference on Intelligent Robots and Systems. IROS '96.

[169]  Arthur G. Richards,et al.  Robust constrained model predictive control , 2005 .

[170]  David W. Miller,et al.  Robust control of the Multiple Mirror Telescope adaptive secondary mirror , 1999 .

[171]  A. D. Lewis,et al.  Controllable kinematic reductions for mechanical systems: concepts,computational tools, and examples , 2001 .

[172]  S. Grossberg The Complementary Brain: A Unifying View of Brain Specialization and Modularity , 1998 .

[173]  Kevin M. Lynch,et al.  Kinematic controllability for decoupled trajectory planning in underactuated mechanical systems , 2001, IEEE Trans. Robotics Autom..

[174]  Snehasis Mukhopadhyay,et al.  Intelligent Control Using Neural Networks , 1991, 1991 American Control Conference.

[175]  M. L. Cosmo,et al.  Tethers in Space Handbook , 1997 .

[176]  J.M. Fowler,et al.  A formation flight experiment , 2003, IEEE Control Systems.

[177]  Auke Jan Ijspeert,et al.  Simulation and Robotics Studies of Salamander Locomotion Applying Neurobiological Principles to the Control of Locomotion in Robots , 2005 .

[178]  Wei Zhong,et al.  Energy and passivity based control of the double inverted pendulum on a cart , 2001, Proceedings of the 2001 IEEE International Conference on Control Applications (CCA'01) (Cat. No.01CH37204).

[179]  Jean-Jacques E. Slotine,et al.  A theoretical study of different leader roles in networks , 2006, IEEE Transactions on Automatic Control.

[180]  D. Mayne Nonlinear and Adaptive Control Design [Book Review] , 1996, IEEE Transactions on Automatic Control.

[181]  Michael E. Greene,et al.  Ground-Based Implementation and Verification of Control Laws for Tethered Satellites , 1992 .

[182]  Jessy W. Grizzle,et al.  Experimental Validation of a Framework for the Design of Controllers that Induce Stable Walking in Planar Bipeds , 2004, Int. J. Robotics Res..

[183]  Mark W. Spong,et al.  Bilateral control of teleoperators with time delay , 1989 .

[184]  Salma Ivonne Saeed Optimal control of tethered artificial gravity spacecraft , 1997 .

[185]  Nazareth Bedrossian,et al.  Linearizing coordinate transformations and Riemann curvature , 1992, [1992] Proceedings of the 31st IEEE Conference on Decision and Control.

[186]  Jonathan P. How,et al.  Distributed coordination and control of formation flying spacecraft , 2003, Proceedings of the 2003 American Control Conference, 2003..

[187]  R. Blevins,et al.  Formulas for natural frequency and mode shape , 1984 .

[188]  K.M. Passino,et al.  Bridging the gap between conventional and intelligent control , 1993, IEEE Control Systems.

[189]  S. Bergamaschi,et al.  Coupling of tether lateral vibration and subsatellite attitude motion , 1992 .

[190]  David Quinn,et al.  A tethered formation flying concept for the SPECS Mission , 2000 .

[191]  Lee D. Feinberg,et al.  Scientific motivation and technology requirements for the SPIRIT and SPECS far-infrared/submillimeter space interferometers , 2000, Astronomical Telescopes + Instrumentation.

[192]  J. Doyle,et al.  Essentials of Robust Control , 1997 .