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迭代学习控制在线性时变系统终端控制问题中的应用研究

张丽萍 杨富文

张丽萍, 杨富文. 迭代学习控制在线性时变系统终端控制问题中的应用研究. 自动化学报, 2005, 31(2): 309-313.
引用本文: 张丽萍, 杨富文. 迭代学习控制在线性时变系统终端控制问题中的应用研究. 自动化学报, 2005, 31(2): 309-313.
ZHANG Li-Ping, YANG Fu-Wen. Study on the Application of Iterative Learning Control to Terminal Control of Linear Time-varying Systems. ACTA AUTOMATICA SINICA, 2005, 31(2): 309-313.
Citation: ZHANG Li-Ping, YANG Fu-Wen. Study on the Application of Iterative Learning Control to Terminal Control of Linear Time-varying Systems. ACTA AUTOMATICA SINICA, 2005, 31(2): 309-313.

迭代学习控制在线性时变系统终端控制问题中的应用研究

详细信息
    通讯作者:

    杨富文

Study on the Application of Iterative Learning Control to Terminal Control of Linear Time-varying Systems

More Information
    Corresponding author: YANG Fu-Wen
  • 摘要: An iterative learning control algorithm based on shifted Legendre orthogonal polynomials is proposed to address the terminal control problem of linear time-varying systems. First, the method parameterizes a linear time-varying system by using shifted Legendre polynomials approximation. Then, an approximated model for the linear time-varying system is deduced by employing the orthogonality relations and boundary values of shifted Legendre polynomials. Based on the model, the shifted Legendre polynomials coefficients of control function are iteratively adjusted by an optimal iterative learning law derived. The algorithm presented can avoid solving the state transfer matrix of linear time-varying systems. Simulation results illustrate the effectiveness of the proposed method.
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出版历程
  • 收稿日期:  2003-10-13
  • 修回日期:  2004-04-28
  • 刊出日期:  2005-03-20

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