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考虑输入饱和的航天器相对运动鲁棒自适应控制 被引量:3

Robust Adaptive Control for Relative Motion of Spacecraft Under Input Saturation
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摘要 研究了在输入饱和约束条件下的航天器相对运动的姿态和轨道一体化控制问题。首先,基于单位对偶四元数给出了航天器6自由度相对运动的数学模型,利用误差对偶四元数来描述航天器的相对姿态和相对位置。接着,针对输入饱和问题,提出了一种对航天器模型参数不确定性和外部有界干扰具有较强鲁棒性的自适应控制器,并通过李雅普诺夫方法从理论上严格证明了整个闭环系统的全局渐近稳定性。最后,通过数值仿真来验证设计方法的有效性和可行性,并且与其他方法进行了比较,结果表明设计的方法能够抑制输入饱和的问题,在性能上具有更快的收敛速度和更强的鲁棒性。 This paper investigates the integrated control of attitude and orbit for the relative motion of a spacecraft in the presence of input saturation constraint. First, using unit dual quaternion, a mathematic model of the six-degree-of-freedom relative motion for the spacecraft is introduced, and an error dual quaternion is adopted to describe the relative attitude and position of the spacecraft. Second, an adaptive controller, which is robust enough to model the uncertainties of the space- craft and its bounded external disturbances, is proposed to deal with input saturation. Moreover, it is proved by a rigorous theoretical analysis of the Lyapunov method that the whole resulting closed-loop system is globally and asymptotically stable. Finally, numerical simulations are performed to demonstrate the validity and effectiveness of the presented approach. Com- pared with other approaches, the new one has the following properties: 1) control input saturation can be explicitly restrained: 2) faster convergence rate and improved robustness can be obtained.
出处 《航空学报》 EI CAS CSCD 北大核心 2013年第4期890-901,共12页 Acta Aeronautica et Astronautica Sinica
基金 国家"863"计划(2011AA7026053)~~
关键词 输入饱和 鲁棒自适应控制 航天器相对运动 一体化控制 单位对偶四元数 input saturation robust adaptive control relative motion of spacecraft integrated control unit dual quaternion
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参考文献21

  • 1吴云华,曹喜滨,张世杰,邢艳军,郑鹏飞.编队卫星相对轨道与姿态一体化耦合控制[J].南京航空航天大学学报,2010,42(1):13-20. 被引量:15
  • 2Kristiansen R, Nicklasson P J, Gravdahl J T. coordination control in 6DOF: integrator back Spacecraft stepping vs 44 (11):2896-2901.
  • 3Shan J. Six degree of freedom synchronised adaptive learning control for spacecraft formation flying. IET Control Theory and Applications, 2008, 2(10): 930-949.
  • 4Zhang F, Duan G R. Robust integrated translation and ro tation finite-time maneuver of a rigid spacecraft based on dual quaternion. AIAA-2011-6396, 2011.
  • 5王剑颖,梁海朝,孙兆伟.基于对偶数的相对耦合动力学与控制[J].宇航学报,2010,31(7):1711-1717. 被引量:16
  • 6Wang J Y, Liang H Z, Sun Z W, et al. Relative motion coupled control based on dual quaternion. Aerospace Science and Technology, 2011. doi: 10. 1016/j. ast. 2011.12. 013.
  • 7Wang J Y, Sun Z W. 6-DOF robust adaptive terminal slid ing mode control for spacecraft formation flying. Acta As tronautica, 2012, 73: 76-87. doi: 10. 1016/j. actaastro 2011.12. 005.
  • 8Wu Y X, Hu X P, Hu D W, et al. Strapdown inertial navigation system algorithms based on dual quaternions.IEEE Transactions on Aerospace and Electronic System, 2005, 41(1): 110-132.
  • 9Brodsky V, Shoham M. Dual numbers representation of rigid body dynamics. Mechanism and Machine Theory, 1999, 34(5): 693-718.
  • 10WangX K, Han D P, Yu C B, et al. The geometric structure of unit dual quaternion with application in kine- matic control. Journal of Mathematical Analysis and Applications, 2012, 389 (2): 1352-1364. doi: 10.1016/j. jmaa. 2012.01. 016.

二级参考文献86

  • 1邹晖,陈万春,殷兴良.几何代数及其在飞行力学中的应用[J].飞行力学,2004,22(4):60-64. 被引量:6
  • 2张显库,杨盐生.不对称信息理论与非线性鲁棒控制算法[J].控制与决策,2005,20(11):1241-1244. 被引量:11
  • 3崔平远,徐文明,崔祜涛,仲维国.基于单轴随机扩展算法的自主探测器大角度机动规划[J].宇航学报,2007,28(2):404-408. 被引量:2
  • 4Cao Y Y,Lin Z L.Stability analysis of discrete-time systems with actuator saturation by a saturationdependent Lyapunov function[J].Automatica,2003,39 (7):1235-1241.
  • 5Wang Y,Cap Y Y,Sun Y.Stability analysis and antiwindup design for discrete-time systems by a saturationdependent Lyapunov function approach[C].Proc of 16th IFAC World Congress.Prague,2005:593-598.
  • 6Hu T S,Lin Z L,Chen B M.An analysis and design method for linear systems subject to actuator saturation and disturbance[J].Automatics,2002,38(2):351-359.
  • 7Hu T S,Lin Z L.Composite quadratic Lyapunov functionos for constrained control systems[J].IEEE Trans on Automatic Control,2003,48(3):440-450.
  • 8Hu T S,Teel A R,Zaccarian L.Stability and performance for saturated systems via quadratic and nonquadratic Lyapunov functions[J].IEEE Trans on Automatic Control,2006,51(11):1770-1786.
  • 9Hu T S,Teel A R,Zaccarian L.Nolinear L2 gain and regional analysis for linear systems with anti-windup compensation[C].American Control Conf.Porland:IEEE,2005:3391-3396.
  • 10Galeani S,Onori S,Teel A R,et al.Static linear antiwindup design for strictly proper continuous time control systems with magnitude and rate saturation[J].Systems & Control Letters,2008,56(11):5-9.

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