Adaptive asymptotic stabilization of uncertain nonstrict feedback nonlinear HOFA systems with time delays

We consider the adaptive control for nonstrict-feedback uncertain nonlinear high-order fully actuated (HOFA) systems with either constant delay or time-varying delay. Different from previous works, most difficult point is that function in HOFA contains nonstrict feedback form and time system states. In order to overcome this difficulty, arbitrary approximation property of radial basis neural network (RBF NN) used estimate unknown functions. What’s more, transformed into strict-feedback strcture by using Gaussian function. addition, appropriate Lyapunov-Krasovskii functions separation techniques are compensate effect Based on approaches, two NN controllers proposed ensure time-delay be stabilized asymptotically, respectively. Finally, strategies applied thermoacoustic instability demonstrate feasibility effectiveness obtained results.