Distributed Fixed-time Attitude Synchronization Control for Multiple Rigid Spacecraft

This paper investigates the distributed fixed-time attitude synchronization control problem for multiple rigid spacecraft system with external disturbances. Based on sliding-mode estimators, the authors remove the requirement of neighbours’ input control information. Using the fixed-time-based terminal sliding mode, the distributed adaptive control laws are developed to guarantee the attitude tracking errors converge to the regions in fixed time independent of initial conditions, and adaptive laws are employed to deal with external disturbances. Finally, numerical simulations are presented to illustrate the performance of the proposed controllers.

[1]  Zeng-Guang Hou,et al.  Attitude Coordination Control for a Group of Spacecraft Without Velocity Measurements , 2012, IEEE Transactions on Control Systems Technology.

[2]  L. Young,et al.  Formation acquisition sensor for the Terrestrial Planet Finder (TPF) mission , 2004, 2004 IEEE Aerospace Conference Proceedings (IEEE Cat. No.04TH8720).

[3]  Yingmin Jia,et al.  Decentralized adaptive attitude synchronization control for spacecraft formation using nonsingular fast terminal sliding mode , 2014 .

[4]  Zhaowei Sun,et al.  Robust decentralized attitude control of spacecraft formations under time-varying topologies, model uncertainties and disturbances , 2012 .

[5]  Shihua Li,et al.  Finite-Time Attitude Stabilization for a Spacecraft Using Homogeneous Method , 2012 .

[6]  Xinghuo Yu,et al.  Fast terminal sliding-mode control design for nonlinear dynamical systems , 2002 .

[7]  Zhaowei Sun,et al.  Finite-time attitude synchronization controllers design for spacecraft formations via behavior-based approach , 2013 .

[8]  Dimos V. Dimarogonas,et al.  Leader-follower cooperative attitude control of multiple rigid bodies , 2008, 2008 American Control Conference.

[9]  Zhihong Man,et al.  Continuous finite-time control for robotic manipulators with terminal sliding mode , 2003, Autom..

[10]  John L. Junkins,et al.  Adaptive Control of Nonlinear Attitude Motions Realizing Linear Closed Loop Dynamics , 2001 .

[11]  Aleksej F. Filippov,et al.  Differential Equations with Discontinuous Righthand Sides , 1988, Mathematics and Its Applications.

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

[13]  Seung-Hwan Kim,et al.  Robust Control of the Missile Attitude Based on Quaternion Feedback , 2001 .

[14]  Andrey Polyakov,et al.  Nonlinear fixed-time control protocol for uniform allocation of agents on a segment , 2012, 2012 IEEE 51st IEEE Conference on Decision and Control (CDC).

[15]  Wei Ren,et al.  Distributed attitude alignment in spacecraft formation flying , 2007 .

[16]  An-Min Zou,et al.  Neural Network-Based Distributed Attitude Coordination Control for Spacecraft Formation Flying With Input Saturation , 2012, IEEE Transactions on Neural Networks and Learning Systems.

[17]  Yuanqing Xia,et al.  Attitude stabilization of rigid spacecraft with finite‐time convergence , 2011 .

[18]  Yuanqing Xia,et al.  Finite‐time attitude stabilization for rigid spacecraft , 2013 .

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

[20]  Zhaowei Sun,et al.  Robust controllers design with finite time convergence for rigid spacecraft attitude tracking control , 2008 .

[21]  Yuanqing Xia,et al.  Adaptive attitude tracking control for rigid spacecraft with finite-time convergence , 2013, Autom..

[22]  Wei Kang,et al.  Co-ordinated attitude control of multi-satellite systems† , 2002 .

[23]  Milton Abramowitz,et al.  Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables , 1964 .

[24]  Jinzhi Wang,et al.  Fixed-time coordinated tracking for second-order multi-agent systems with bounded input uncertainties , 2016, Syst. Control. Lett..

[25]  Zongyu Zuo,et al.  A new class of finite-time nonlinear consensus protocols for multi-agent systems , 2014, Int. J. Control.

[26]  Liang Yang,et al.  Nonsingular fast terminal sliding‐mode control for nonlinear dynamical systems , 2011 .

[27]  Ilia G. Polushin,et al.  Attitude Synchronization of Multiple Rigid Bodies With Communication Delays , 2012, IEEE Transactions on Automatic Control.

[28]  An-Min Zou,et al.  Distributed Attitude Coordination Control for Spacecraft Formation Flying , 2012, IEEE Transactions on Aerospace and Electronic Systems.

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

[30]  Andrey Polyakov,et al.  Nonlinear Feedback Design for Fixed-Time Stabilization of Linear Control Systems , 2012, IEEE Transactions on Automatic Control.

[31]  M. Friswell,et al.  Decentralized Finite Time Attitude Synchronization Control of Satellite Formation Flying , 2013 .

[32]  Yuan Liu,et al.  Distributed finite-time attitude dynamic tracking control for multiple rigid spacecraft , 2015 .

[33]  Z. Zuo,et al.  Non-singular fixed-time terminal sliding mode control of non-linear systems , 2015 .

[34]  Zhihong Man,et al.  Robust Finite-Time Consensus Tracking Algorithm for Multirobot Systems , 2009, IEEE/ASME Transactions on Mechatronics.