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

作　　者：张丽萍  杨富文  

机构地区：[1]College of Mechanical Engineering and Automation, Fuzhou University, Fuzhou 350002 [2]College of Electrical Engineering and Automation, Fuzhou University, Fuzhou 350002

出　　处：《自动化学报》2005年第2期309-313,共5页Acta Automatica Sinica

基　　金：Supported by National Natural Science Foundation of P. R. China (60474049)

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.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.

关 键 词：迭代学习控制 线性时变系统 终端控制 正交多项式 

分 类 号：TP273.22[自动化与计算机技术—检测技术与自动化装置]