Nonlinear dynamics and output feedback control of multiple spacecraft in elliptical orbits

Considers the problem of relative position control for multiple spacecraft formation flying. Specifically, the nonlinear dynamics describing the motion of a follower spacecraft relative to a leader spacecraft are developed for the case where the leader spacecraft is in an elliptical orbit. Next, a Lyapunov-based, nonlinear, output feedback control law is designed which guarantees global uniform ultimate boundedness of the position and velocity tracking errors in the presence of unknown, spacecraft masses and disturbance force parameters. Simulation results are provided to illustrate the performance of the output feedback control design methodology for formation maintenance in ideal, naturally attractive orbits.

[1]  Kirtland Afb,et al.  ADVANCED GUIDANCE, NAVIGATION, AND CONTROL FOR REMOTE SENSING , 1997 .

[2]  R. Vassar,et al.  Formationkeeping for a Pair of Satellites in a Circular Orbit , 1985 .

[3]  P. Wang,et al.  Coordination and control of multiple microspacecraft moving in formation , 1996 .

[4]  D. Dawson,et al.  An adaptive partial state feedback controller for RLED robot manipulators , 1994, 1994 Proceedings of IEEE International Conference on Control and Applications.

[5]  Joseph R. Guinn,et al.  AUTONOMOUS NAVIGATION FOR THE NEW MILLENNIUM PROGRAM EARTH ORBITER 1 MISSION , 1997 .

[6]  David C. Redding,et al.  Linear-quadratic stationkeeping for the STS Orbiter , 1989 .

[7]  W. H. Clohessy,et al.  Terminal Guidance System for Satellite Rendezvous , 2012 .

[8]  Guang Yang,et al.  Nonlinear dynamics, trajectory generation, and adaptive control of multiple spacecraft in periodic relative orbits , 2000 .

[9]  Jonathan P. How,et al.  Formation sensing and control technologies for a separated spacecraft interferometer , 1998, Proceedings of the 1998 American Control Conference. ACC (IEEE Cat. No.98CH36207).

[10]  V. Kapila,et al.  Global output feedback tracking control of spacecraft formation flying with parametric uncertainty , 1999, Proceedings of the 38th IEEE Conference on Decision and Control (Cat. No.99CH36304).

[11]  Roger P. Linfield,et al.  The New Millennium Formation Flying Optical Interferometer , 1997 .

[12]  Raymond J. Sedwick,et al.  Exploiting orbital dynamics and micropropulsion for aperture synthesis using distributed satellite systems - Applications to TechSat21 , 1998 .

[13]  C. Sabol,et al.  Satellite Formation Flying Design and Evolution , 2001 .

[14]  Vikram Kapila,et al.  Adaptive nonlinear control of satellite formation flying , 1999 .