航空学报 > 2011, Vol. 32 Issue (7): 1283-1291   doi: CNKI:11-1929/V.20110330.1325.008

新型快速Terminal滑模及其在近空间飞行器上的应用

蒲明, 吴庆宪, 姜长生, 程路   

  1. 南京航空航天大学 自动化学院,江苏 南京 210016
  • 收稿日期:2010-10-12 修回日期:2011-01-04 出版日期:2011-07-25 发布日期:2011-07-23
  • 作者简介:蒲明(1981- ) 男, 博士研究生。 主要研究方向: 滑模控制, 飞行器控制。 Tel: 025-84893084 E-mail: msznuaa@163.com 吴庆宪(1955- ) 男, 教授, 博士生导师。 主要研究方向: 飞行器控制, 非线性控制。 Tel: 025-84893084 E-mail: wuqingxian@nuaa.edu.cn 姜长生(1942- ) 男, 教授, 博士生导师。 主要研究方向: 飞行器控制, 非线性控制。 Tel: 025-84893084 E-mail: jiangcs@nuaa.edu.cn 程路(1985- ) 男, 博士研究生。 主要研究方向: 飞行器控制, 预测控制。 Tel: 025-84893084 E-mail: chenglu8848@163.com
  • 基金资助:

    国家自然科学基金(90716028,60974106)

New Fast Terminal Sliding Mode and Its Application to Near Space Vehicles

PU Ming, WU Qingxian, JIANG Changsheng, CHENG Lu   

  1. College of Automation Engineering, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, China
  • Received:2010-10-12 Revised:2011-01-04 Online:2011-07-25 Published:2011-07-23

摘要: 为加快Terminal滑模收敛速度,并避免控制器奇异,首先分析了Terminal滑模产生奇异的原因,基于李代数给出Terminal滑模控制器非奇异判据。然后,设计了两种新型非奇异快速Terminal滑模,其收敛速度在任意点均快于现有标准快速Terminal滑模;给出了收敛时间公式。将新型快速Terminal滑模与动态滑模相结合,避免了控制器抖振,设计了近空间飞行器快、慢回路控制器。采用改进的非线性干扰观测器逼近近空间飞行器复合干扰,进一步提高控制精度。基于Lyapunov理论,严格证明了系统的稳定性。最后,进行了仿真验证。

关键词: 滑模控制, 终端吸引子, 近空间飞行器, 观测器, 动态滑模, 非奇异判据

Abstract: To accelerate the convergence of a terminal sliding mode and avoid the singularity of the controller, an analysis for the cause of singularity in terminal sliding mode is presented in this paper. Based on Lie algebra,the nonsingular criterion is provided for the terminal sliding mode controller. Thereafter, two novel nonsingular fast terminal sliding modes are designed with convergence speed faster than that of a normal fast terminal sliding mode at any points. The formula of convergence time is derived. The new fast terminal sliding mode is combined with the dynamic sliding mode to eliminate chattering. Then, controllers are designed for the fast loop and slow loop of a near space vehicle. In order to improve the control effect, a nonlinear disturbance observer is used to approximate the compound disturbances. By means of the Lyapunov theorem, the system is proved to be stable. Finally, simulation is conducted.

Key words: sliding mode control, terminal attractors, near space vehicle, observer, dynamic sliding mode, nonsingular criterion

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