一类非线性系统的迭代学习控制

Iterative Learning Control for A Class of Nonlinear Systems

在一类非线性系统的闭环迭代学习控制中,对系统输入进行闭环D型迭代学习,对输入的初值采用P型迭代学习控制律,给出了它的收敛性证明.从收敛性的证明过程可以看出,这种迭代学习控制受到较小的收敛条件的限制.最后用仿真结果对收敛性和收敛条件进行了验证。

This paper analyses the closed-loop iterative learning control for a class of nonlinear systems with input D-type closed-loop iterative learning and input initial state P-type learning. Convergence of the iterative learning control scheme is proved. Convergence conditions of the learning control rules are less restrictive. Finally, the convergence and convergence conditions are verified with simulation results.