A universal stabilizing controller for a concatenated dynamical system
A concatenated control system is considered. It is assumed that the nonlinear functions in the right-hand side are unknown but bounded where their derivatives and the bounds are given. A stabilizing controller, using only measurable phase variables, is proposed. First, the system is rewritten in a suitable canonical form. Next, assuming that the derivatives of the output are known, a suitable control feedback is constructed. To make the controller realizable, a procedure for estimation of the derivatives of the output is developed. To filter the high-frequency component of the signal, an equivalent control is used instead the signum function in the controller.
scientific article; zbMATH DE number 1557486