Iterative learning control for bilinear parameterized systems with time-varying delay

For higher-order bilinear parameterized systems with time-varying delay, a novel adaptive iterative learning control strategy is proposed. The time-varying delay term is solved via the signal replacement theory and the parameter recombination technique. For the bilinear parameterized term, a differential-difference couple-type updating law is imported. Then by constructing a Lyapunov-Krasovskii composite energy function, convergence of the tracking error and finiteness of all signals are proved. Finally, the simulation example is carried out to illustrate the validity and feasibility of the designed strategy.