Electronics and Electrical Engineering and Control

Immersion and invariance based attitude adaptive tracking control for spacecraft

  • XIA Dongdong ,
  • YUE Xiaokui
Expand
  • 1. National Key Laboratory of Aerospace Flight Dynamics, Northwestern Polytechnical University, Xi'an 710072, China;
    2. School of Astronautics, Northwestern Polytechnical University, Xi'an 710072, China

Received date: 2019-09-02

  Revised date: 2019-10-08

  Online published: 2019-11-14

Supported by

National Natural Science Foundation of China (11972026);the Fundamental Research Funds for the Central Universities

Abstract

In this paper, the spacecraft attitude tracking control with inertia uncertainty is addressed, and a novel Immersion and Invariance (I&I) based adaptive tracking controller is proposed. The results show that the parametric regression matrix is not integrable when I&I methodology is applied to the attitude dynamic systems, which leads to non-analytical solution of partial differential equations in the I&I controller design. To overcome this problem, this paper presented a new I&I adaptive tracking controller for the spacecraft attitude via the dynamic scaling technique. A rigorous Lyapunov analysis is provided to guarantee the globally asymptotic stability of the closed-loop systems. A key feature in this paper is that the controller implementation is no need of the scaling factor and the prior knowledge of inertia matrix by virtue of the innovative scaling factor design. Finally, the effectiveness and superiority of the proposed controller are illustrated by numerical simulations compared with the certainty-equivalence-based controller.

Cite this article

XIA Dongdong , YUE Xiaokui . Immersion and invariance based attitude adaptive tracking control for spacecraft[J]. ACTA AERONAUTICAET ASTRONAUTICA SINICA, 2020 , 41(2) : 323428 -323428 . DOI: 10.7527/S1000-6893.2019.23428

References

[1] 陈小前. 航天器在轨服务技术[M]. 北京:中国宇航出版社, 2009. CHEN X Q. On-orbit service technology for spacecraft[M]. Beijing:China Aerospace Press, 2009(in Chinese).
[2] 肖冰. 执行器故障的航天器姿态容错控制[D]. 哈尔滨:哈尔滨工业大学, 2014. XIAO B. Fault-tolerant attitude control of spacecraft with actuator failure[D]. Harbin:Harbin Institute of Technology, 2014(in Chinese).
[3] SLOTINE J J E, LI W. On the adaptive control of robot manipulators[J]. The International Journal of Robotics Research, 1987, 6(3):49-59.
[4] LIANG J, MA O. Angular velocity tracking for satellite rendezvous and docking[J]. Acta Astronautica, 2011, 69(11-12):1019-1028.
[5] COSTIC B T, DAWSON D M, DE QUEIROZ M S, et al. A quaternion-based adaptive attitude tracking controller without velocity measurements[J]. Journal of Guidance Control and Dynamics, 2001, 3(6):2424-2429.
[6] ASTOLFI A, ORTEGA R. Immersion and invariance:A new tool for stabilization and adaptive control of nonlinear systems[J]. IEEE Transactions on Automatic Control, 2003, 48(4):590-606.
[7] ASTOLFI A, KARAGIANNIS D, ORTEGA R. Nonlinear and adaptive control with applications[M]. Berlin:Springer Science & Business Media, 2007.
[8] SEO D, AKELLA M R. High-performance spacecraft adaptive attitude tracking control through attracting-manifold design[J]. Journal of Guidance, Control, and Dynamics, 2008, 31(4):884-891.
[9] SEO D, AKELLA M R. Non-certainty equivalent adaptive control for robot manipulator systems[J]. Systems & Control Letters, 2009, 58(4):304-308.
[10] WEN H, YUE X, LI P, et al. Fast spacecraft adaptive attitude tracking control through immersion and invariance design[J]. Acta Astronautica, 2017, 139:77-84.
[11] KARAGIANNIS D, SASSANO M, ASTOLFI A. Dynamic scaling and observer design with application to adaptive control[J]. Automatica, 2009, 45(12):2883-2889.
[12] KARAGIANNIS D, ASTOLFI A. Observer design for a class of nonlinear systems using dynamic scaling with application to adaptive control[C]//IEEE Conference on Decision and Control. Piscataway, NJ:IEEE Press, 2009.
[13] ORTNER P, ASTOLFI A. Robust observer design for a class of nonlinear systems using filtering and dynamic scaling[C]//IEEE Conference on Decision and Control. Piscataway, NJ:IEEE Press, 2009.
[14] JI Y, ZONG Q, ZENG F. Immersion and invariance based nonlinear adaptive control of hypersonic vehicles[C]//Control & Decision Conference. Piscataway, NJ:IEEE Press, 2012.
[15] LI S, JING Y, LIU X. Non-certainty equivalent adaptive control for lower triangular systems based on dynamic scaling and filter[J]. International Journal of Adaptive Control & Signal Processing, 2013, 27(12):1097-1106.
[16] YUE X, XUE X, WEN H, et al. Adaptive control for attitude coordination of leader-following rigid spacecraft systems with inertia parameter uncertainties[J]. Chinese Journal of Aeronautics, 2019,32(3):688-700.
[17] YANG S, AKELLA M R, MAZENC F. Dynamically scaled immersion and invariance adaptive control for euler-lagrange mechanical systems[J]. Journal of Guidance, Control, and Dynamics, 2017,40(11):1-13.
[18] WEN H, YUE X, YUAN J. Dynamic scaling-based noncertainty-equivalent adaptive spacecraft attitude tracking control[J]. Journal of Aerospace Engineering, 2018,31(2):1-11.
[19] 邹立颖, 苗凤娟, 陶柏睿, 等. 基于自适应浸入与不变的VTOL飞行器跟踪控制[J]. 高技术通讯, 2016, 26(2):180-185. ZOU L Y, MIAO F J, TAO B R, et al. Tracking control for a VTOL aircraft based on adaptive immersion and invariance[J]. High Technology Letters, 2016, 26(2):180-185(in Chinese).
[20] 侯小燕, 薛文涛, 张晨. 基于浸入与不变的气动弹性系统反演滑模控制[J]. 航天控制, 2016, 34(4):3-9. HOU X Y, XUE W T, ZHANG C. Backstepping sliding mode control of aeroelastic system based on immersion and invariance[J]. Aerospace Control, 2016, 34(4):3-9(in Chinese).
[21] 夏琳琳, 丛靖宇,马文杰,等. 基于浸入与不变原理的四旋翼姿态系统反步滑模控制[J]. 中国惯性技术学报, 2017,25(5):695-700. XIA L L, CONG J Y, MA W J, et al. Backstepping sliding mode control of quadrotor attitude system based on immersion and invariance[J]. Journal of Chinese Inertial Technology, 2017,25(5):695-700(in Chinese).
[22] 张晨, 薛文涛, 侯小燕. 基于浸入与不变的无人艇航向的滑模控制[J]. 控制工程, 2018, 161(5):237-242. ZHANG C, XUE W T, HOU X Y. Backstepping sliding mode control for unmanned surface vehicle course based on immersion and invariance[J]. Control Engineering of China, 2018, 161(5):237-242(in Chinese).
[23] 巩磊, 王萌, 祝长生. 基于浸入不变流形的飞轮储能系统母线电压自适应非线性控制器[J]. 中国电机工程学报, 2019:1-12. GONG L, WANG M, ZHU C S. An adaptive nonlinear controller for the bus voltage based on immersion and invariance manifold in flywheel energy storage systems[J]. Proceedings of the CSEE, 2019:1-12(in Chinese).
Outlines

/