Adaptive regulator of partially feedback linearizable uncertain nonlinear systems

We consider single-input nonlinear systems with unknown unmodelled time-varying parameters or disturbances which are bounded. The main goal is to identify classes of uncertain systems for which the control exist and to provide design procedures. Assuming that the undisturbed nominal system (f,g) is partially state feedback linearizable, that a strict triangularity condition, a linear parametrization condition, and f¯∈G_r-1 hold for the uncertain terms, and that some condition is satisfied in the transformed partially linear system, we design an adaptive regulating dynamic control. First, we identify classes of nonlinear uncertain systems and give a systematic procedure for the design of a robust regulation for the nonlinear systems