Distributed finite-time velocity-free attitude coordination control for spacecraft formations

In this paper, the finite-time velocity-free attitude coordination control for spacecraft formation flying under an undirected communication graph is addressed. A finite-time observer is introduced to obtain an accurate estimation of unmeasurable angular velocity and a decentralized finite-time observer is employed to estimate the angular acceleration of the virtual leader. With the application of the finite-time observer, the decentralized finite-time observer, and the homogeneous method, a continuous distributed finite-time attitude coordination control law is designed for a group of spacecraft without requiring angular velocity measurements. A rigorous proof shows that semi-global finite-time stability of the overall closed-loop system can be achieved and the proposed velocity-free control law guarantees a group of spacecraft to simultaneously track a common time-varying reference attitude in finite time even when the reference attitude is available only to a subset of the group members. The performance of the control scheme derived here is illustrated through numerical simulations.

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

[2]  Yuehua Huang,et al.  Uniformly Observable and Globally Lipschitzian Nonlinear Systems Admit Global Finite-Time Observers , 2009, IEEE Transactions on Automatic Control.

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

[4]  Shihua Li,et al.  Semi-global finite-time attitude stabilization by output feedback for a rigid spacecraft , 2013 .

[5]  Soon-Jo Chung,et al.  Application of Synchronization to Formation Flying Spacecraft: Lagrangian Approach , 2008, 0803.0170.

[6]  Ziyang Meng,et al.  Distributed finite-time attitude containment control for multiple rigid bodies , 2010, Autom..

[7]  Xi Liu,et al.  Finite-Time Attitude Tracking Control for Spacecraft Using Terminal Sliding Mode and Chebyshev Neural Network , 2011, IEEE Transactions on Systems, Man, and Cybernetics, Part B (Cybernetics).

[8]  XiaYuanqing,et al.  Adaptive attitude tracking control for rigid spacecraft with finite-time convergence , 2013 .

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

[10]  Shihua Li,et al.  Finite-Time Attitude Tracking Control of Spacecraft With Application to Attitude Synchronization , 2011, IEEE Transactions on Automatic Control.

[11]  Christopher D. Hall,et al.  Decentralized Coordinated Attitude Control Within a Formation of Spacecraft , 2006 .

[12]  X. Xia,et al.  Semi-global finite-time observers for nonlinear systems , 2008, Autom..

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

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

[15]  Shihua Li,et al.  Finite-time consensus algorithm for multi-agent systems with double-integrator dynamics , 2011, Autom..

[16]  Zhaowei Sun,et al.  Robust decentralized attitude coordination control of spacecraft formation , 2008, Syst. Control. Lett..

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

[18]  Yuanqing Xia,et al.  Finite‐time attitude control of multiple rigid spacecraft using terminal sliding mode , 2015 .

[19]  Yuh Yamashita,et al.  Lyapunov functions for homogeneous differential inclusions , 2004 .

[20]  Jie Huang,et al.  The leader-following attitude control of multiple rigid spacecraft systems , 2014, Autom..

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

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

[23]  Yiguang Hong,et al.  Adaptive finite-time control of nonlinear systems with parametric uncertainty , 2006, IEEE Transactions on Automatic Control.

[24]  M. Shuster.  A survey of attitude representation , 1993 .

[25]  Jiangping Hu,et al.  Tracking control for multi-agent consensus with an active leader and variable topology , 2006, Autom..

[26]  Sang-Young Park,et al.  Decentralized Coordinated Attitude Control for Satellite Formation Flying via the State-Dependent Riccati Equation Technique , 2009 .

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

[28]  Dennis S. Bernstein,et al.  Geometric homogeneity with applications to finite-time stability , 2005, Math. Control. Signals Syst..

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

[30]  Wei Ren,et al.  Distributed Cooperative Attitude Synchronization and Tracking for Multiple Rigid Bodies , 2010, IEEE Transactions on Control Systems Technology.

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

[32]  Wei Lin,et al.  A continuous feedback approach to global strong stabilization of nonlinear systems , 2001, IEEE Trans. Autom. Control..

[33]  An-Min Zou,et al.  Finite-Time Output Feedback Attitude Tracking Control for Rigid Spacecraft , 2014, IEEE Transactions on Control Systems Technology.