PDα-type iterative learning control for fractional-order linear continuous-time switched systems

For a class of fractional-order linear continuous-time switched systems specified by an arbitrary switching rule, this paper proposes a PD alpha-type fractional-order iterative learning control algorithm. For systems disturbed by bounded measurement noise, the robustness of PD alpha-type algorithm is first discussed in the iteration domain and the tracking performance is analyzed. Next, a sufficient condition for monotone convergence of the algorithm is studied when external noise is absent. The results of analysis and simulation illustrate the feasibility and effectiveness of the proposed control algorithm.