6 / 2018-01-11 10:05:16

Fractional Order Iterative Learning Control with Forgetting Factor

fractional order; PD^α-type iterative learning; forgetting factor

In this paper, a class of fractional order iterative learning control algorithm with forgetting factor is proposed. It expands the fractional iterative learning control algorithm, which is different from the previous iterative learning control with forgetting factor. The algorithm applied the forgetting factor as an iterative function to the fractional order PD^α-type iterative learning control algorithm. It can be concluded from the convergence proof that the convergence condition of the algorithm is simple and fast. The simulation results also show that compared with the general fractional order PD^α-type iterative learning control algorithm, the fractional order PD^α-type iterative learning control algorithm with forgetting factor is smoother, and the algorithm convergence speed is faster in iterative error tracking.