Adaptive learning control for bilinear parametric time-varying systems with unknown time-varying delays

An adaptive learning control strategy is developed for a class of bilinear parametric time-varying systems with mixed unknown time-varying and time-invariant parameters and unknown time-varying delay. The proposed control law includes a differential-difference coupled-type adaptive law used to estimate the unknown time-varying parameters and an adaptive repetitive learning control. By constructing a Lyapunov-Krasovskii energy function, we prove the stability of the closed loop system and the asymptotic convergence of the tracking error. The simulation results, for a bilinear parametric time-varying system confirm the effectiveness of the proposed control scheme.