包含数据丢失的迭代学习控制系统收敛性分析

为了分析数据丢失对测控信号无线传输迭代学习控制系统收敛性能的影响，首先分别得到了包含测控信号随机数据丢失影响因子的系统转移矩阵，然后研究了影响系统收敛速度的矩阵特征值和鲁棒收敛性的矩阵下三角内元素取值的变化情况。由分析可知，测量信号随机丢失会降低系统的收敛速度，而控制信号随机丢失会显著影响系统的鲁棒收敛性。最后，通过仿真实验证明了分析结论的正确性。

Convergence analysis of iterative learning control systemin the presence of data dropouts

In order to analyze the convergence of iterative learning control system over wireless networks in the presence of data dropouts, the system transition matrix including the impact factors of random data dropouts is derived firstly. After that, the variation of eigenvalues and other elements in the lower triangular of the transition matrix is analyzed, which affects the convergence speed and robust convergence of the system, respectively. The analysis results show that the convergence speed is reduced by random data dropouts of measurement signals, and the robust convergence is affected greatly by random data dropouts of control signals. Finally, numerical experiments are given to illustrate the correctness of the analysis.