All parameters adaptive fractional order PI/PD type iterative learning control

Abstract

In this paper, a novel strategy is applied to the design of all parameters adaptive fractional order PI/PD type iterative learning control scheme. The current result of order adaptive fractional order iterative learning control guarantees the convergence of fractional order PI/PD ones. To our best knowledge, the flat phase technique is first combined with fractional order iterative learning control schemes that improves the convergence speed for both linear fractional order systems with known structure, and black box systems with known input/output data, where the fractional order impulse response invariant discretization method is applied. A number of numerical simulations show that the designed fractional order PI/PD type iterative learning controller guarantees the fact of convergence and the convergence speed simultaneously which implies the efficiency of the above discussed concepts.