应用科学学报

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非线性系统的鲁棒自适应模糊轨迹线性化控制

张春雨 姜长生   

  1. 南京航空航天大学 自动化学院, 江苏 南京 210016
  • 收稿日期:2006-05-10 修回日期:2006-11-25 出版日期:2007-05-31 发布日期:2007-05-31

Robust Adaptive Fuzzy Trajectory Linearization Control for Nonlinear Systems

ZHANG Chun-yu, JIANG Chang-sheng   

  1. College of Automation, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, China
  • Received:2006-05-10 Revised:2006-11-25 Online:2007-05-31 Published:2007-05-31

摘要: 针对一类非线性多输入多输出不确定系统,基于小增益理论提出了鲁棒自适应模糊轨迹线性化控制方法。利用T-S模糊系统逼近未知干扰和不确定性因素,采用Lyapunov方法及小增益理论证明了闭环系统所有信号一致最终有界。该算法自适应律的学习参数仅有1个,便于工程实现。最后利用本文提出的控制方案设计了空天飞行器飞行控制系统,仿真结果表明了控制方案有效性和鲁棒性。

关键词: 轨迹线性化控制, 鲁棒自适应控制, T-S模糊系统, 小增益理论, 空天飞行器

Abstract: This paper presents a robust adaptive fuzzy trajectory linearization control (RAFTLC) based on the small gain theorem for a class of nonlinear multi-input multi-output(MIMO) uncertain systems. The unknown disturbances and uncertainties are approximated by a T-S fuzzy system, and the boundedness of all signals of the composite closed-loop system is guaranteed by Lyapunov method and the small gain theorem. This algorithm has only one adaptive parameter adjusting on line and is convenient to realize in engineering. Finally, a flight control system of an ASV is designed based on the proposed method. Simulation results demonstrate the effectiveness and robustness of the control scheme.

Key words: trajectory linearization control, robust adaptive control, T-S fuzzy systems, small gain theorem, aerospace vehicle