Robust consensus of multi-satellite systems based on the characteristic model method

In this paper, we consider the consensus problem of a group of satellites by the characteristic modelling method. Based on the Euler discretization approach, we present the characteristic model of the satellites, which is described as a second-order discrete time-varying system. By estimating the time-varying coeffcients, we present a distributed adaptive controller to achieve the uniform ultimate boundedness of consensus errors. Simulations results demonstrate the effectiveness of the proposed approach.

[1]  Bin Meng,et al.  On characteristic modeling of a class of flight vehicles’ attitude dynamics , 2010 .

[2]  F.Y. Hadaegh,et al.  A survey of spacecraft formation flying guidance and control. Part II: control , 2004, Proceedings of the 2004 American Control Conference.

[3]  Randal W. Beard,et al.  Consensus seeking in multiagent systems under dynamically changing interaction topologies , 2005, IEEE Transactions on Automatic Control.

[4]  Jun Hu,et al.  Characteristic Model-Based All-Coefficient Adaptive Control Method and Its Applications , 2007, IEEE Transactions on Systems, Man, and Cybernetics, Part C (Applications and Reviews).

[5]  Abdelkader Abdessameud,et al.  Attitude Synchronization of a Group of Spacecraft Without Velocity Measurements , 2009, IEEE Transactions on Automatic Control.

[6]  Bin Meng,et al.  Characteristic model-based consensus of networked heterogeneous robotic manipulators with dynamic uncertainties , 2016 .

[7]  Randal W. Beard,et al.  Synchronized multiple spacecraft rotations , 2002, Autom..

[8]  Randal W. Beard,et al.  A decentralized scheme for spacecraft formation flying via the virtual structure approach , 2003, Proceedings of the 2003 American Control Conference, 2003..

[9]  Jun Hu,et al.  Automatic control system design of Shenzhou spacecraft for rendezvous and docking , 2014 .

[10]  Yongchun Xie,et al.  Characteristic modeling and the control of flexible structure , 2007, Science in China Series : Information Sciences.

[11]  Gordon F. Royle,et al.  Algebraic Graph Theory , 2001, Graduate texts in mathematics.

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

[13]  Mehran Mesbahi,et al.  Spacecraft synchronization in the presence of attitude constrained zones , 2012, 2012 American Control Conference (ACC).

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

[15]  W. Ren.  Distributed attitude alignment in spacecraft formation flying , 2007 .