Experimental verification of chaotic control of an underactuated tethered satellite system

Abstract This paper studies chaotic control of a tethered satellite system (TSS) driven only by a momentum-exchange device during its attitude adjustment. In dealing with such the underactuated system, an extended time-delay autosynchronization (ETDAS) is employed to stabilize the chaotic motion to a periodic motion. To obtain the control domains of the ETDAS method, a stability analysis of the controlled tethered satellite system in elliptical orbit is implemented. According to the principle of dynamic similarity, then, ground-based experiment setups are proposed and designed to emulate the in-plane motions of the TSS. Representative experiments are presented to demonstrate the effectiveness of the ETDAS scheme in controlling the chaotic motion of the underactuated TSS.

[1]  Hironori A. Fujii,et al.  Chaos Analysis on Librational Control of Gravity-Gradient Satellite in Elliptic Orbit , 2000 .

[2]  Joshua E. S. Socolar,et al.  Stability of periodic orbits controlled by time-delay feedback , 1995, chao-dyn/9510019.

[3]  Masahiro Nohmi,et al.  Numerical and Experimental Approaches on the Motion of a Tethered System , 2008 .

[4]  S. Boccaletti,et al.  The control of chaos: theory and applications , 2000 .

[5]  E. C. Lorenzini,et al.  Libration Control of Electrodynamic Tethers in Inclined Orbit , 2005 .

[6]  Gauthier,et al.  Stabilizing unstable periodic orbits in fast dynamical systems. , 1994, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.

[7]  Dongping Jin,et al.  Chaotic motion analysis of a rigid spacecraft dragging a satellite by an elastic tether , 2015 .

[8]  Kestutis Pyragas.  Continuous control of chaos by self-controlling feedback , 1992 .

[9]  Manuel Iñarrea,et al.  Libration Control of Electrodynamic Tethers Using the Extended Time-Delayed Autosynchronization Method , 2010 .

[10]  Hirohisa Kojima,et al.  Switching delayed feedback control for an electrodynamic tether system in an inclined elliptic orbit , 2010 .

[11]  Dongping Jin,et al.  Nonlinear resonance of a subsatellite on a short constant tether , 2013 .

[12]  V. J. Modi,et al.  Nonlinear dynamics of two-body tethered satellite systems: Constant length case , 2001 .

[13]  Jack K. Hale,et al.  Introduction to Functional Differential Equations , 1993, Applied Mathematical Sciences.

[14]  Víctor Lanchares,et al.  Attitude stabilization of electrodynamic tethers in elliptic orbits by time-delay feedback control , 2014 .

[15]  Dongping Jin,et al.  Motion control and its ground-based experiment of a tethered subsatellite with a controllable rigid arm , 2013 .

[16]  P. Hughes.  Spacecraft Attitude Dynamics , 1986 .

[17]  H. Kojima,et al.  Experimental Verification of Periodic Libration of Tethered Satellite System in Elliptic Orbit , 2011 .

[18]  Chen Hui.  EXPERIMENTAL STUDIES ON TETHERED SATELLITE SYSTEMS , 2013 .

[19]  Hirohisa Kojima,et al.  Experimental Study on Delayed Feedback Control for Libration of Tethered Satellite System , 2012 .