Adaptive iterative learning control for a class of bilinear parameterized systems with time-varying delay

For a class of 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, convergence of the tracking error and finiteness of all signals are proved via constructing a Lyapunov-Krasovskii composite energy function. Finally, the simulation example is carried out to illustrate the validity and feasibility of the designed strategy.