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Chattering Free Distributed Consensus Control for Attitude Tracking of Spacecraft Formation System with Unmeasurable Angular Velocity

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  • Control Theory and Applications
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Abstract

In this paper, the attitude tracking control of spacecraft formation is studied when the velocities of spacecrafts are unmeasurable. Firstly, a Finite-Time Extended State Observer (FTESO) is constructed to estimate the unmeasured angular velocity and compensate the external disturbance for each spacecraft. Secondly, a chattering free distributed consensus controller which did not require inversion of Laplacian matrix is proposed based on FTESO and Integral Nonsingular Terminal Sliding Mode (INTSM). It is proved that the proposed consensus controller can realize finite-time attitude tracking control of spacecraft by the Lyapunov stability theory. Finally, a simulation example with one leader and four followers is given. The simulation results show that the proposed consensus controller can eliminate system chattering, and provide fast finite-time convergence performance and high precision tracking.

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Author information

Authors and Affiliations

  1. The key Lab of Industrial Computer Control Engineering, Yanshan University, Hebei Province, Qinhuangdao, 066004, China

    Miao Xu, Yiming Fang, Jianxiong Li & Xiaodong Zhao

  2. Engineering Research Center of the Education Ministry for Intelligent Control System and Intelligent Equipment, Yanshan University, Qinhuangdao, 066004, China

    Yiming Fang

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Correspondence to Yiming Fang.

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Publisher’s Note Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.

Recommended by Associate Editor Sung Jin Yoo under the direction of Editor Jessie (Ju H.) Park. This work is supported by the National Natural Foundation of China (Grant Number 61873226), Natural Science Foundation of Hebei Province (Grant Number F2017203304, F2019203090), High Level Talent Support Project of Hebei Province (Grant Number A2016015002), Key Research and Development Program Project of Hebei Province (Grant Number 18212109).

Miao Xu received her B.E. degree in control science and engineering from Yanshan University in 2016. She is a Ph.D. candidate of Yanshan University. Her current researches interesting include tracking control and coordination control of the multiagent systems.

Yiming Fang received his B.E. and Ph.D. degrees in control science and engineering from Yanshan University, in 1985 and 2003, respectively. He is currently a professor with the School of Electrical Engineering, Yanshan University. His research interests include modeling and controlling of complex system, adaptive robust control theory and application, automation technology and application of metallurgical industrial process.

Jianxiong Li received his B.E. and Ph.D. degrees in control science and engineering from Yanshan University, in 2004 and 2012, respectively. He is currently an associate professor with the School of Electrical Engineering, Yanshan University. His research interests include robust adaptive control theory with applications to electrohydraulic servo system.

Xiaodong Zhao received his B.E. degree in automation from the Shandong University of Technology, Zibo, China, in 2014, his M.E. degree in control science and engineering from Yanshan University, Qinhuangdao, China, in 2017. He is a Ph.D. candidate of Yanshan University. His current researches interesting include intelligence optimization algorithm and neural network.

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Xu, M., Fang, Y., Li, J. et al. Chattering Free Distributed Consensus Control for Attitude Tracking of Spacecraft Formation System with Unmeasurable Angular Velocity. Int. J. Control Autom. Syst. 18, 2277–2288 (2020). https://doi.org/10.1007/s12555-019-0543-1

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  • DOI: https://doi.org/10.1007/s12555-019-0543-1

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