Convergence analysis of fractional-order iterative learning control. (English) Zbl 1274.93196
Summary: The classical time domain and frequency domain analysis of Iterative Learning Control (ILC) are extended to a type of time domain analysis of Fractional Order Iterative Learning Control (FOILC) for fractional order nonlinear systems. A novel FOILC scheme is proposed, which leads to a simpler convergence condition. The equivalence of the above two FOILC schemes is shown for the constant learning gain cases, which leads to two further developments: the learnable domain of an adaptive FOILC for the uncertain fractional order systems, and a desirable band-stop FOILC scheme. Several examples are provided to illustrate the presented results.
MSC:
93C80 | Frequency-response methods in control theory |
93C40 | Adaptive control/observation systems |
93C10 | Nonlinear systems in control theory |
68T05 | Learning and adaptive systems in artificial intelligence |
26A33 | Fractional derivatives and integrals |
34A08 | Fractional ordinary differential equations |