LAUSR

In this article, a dynamic output feedback controller is proposed for a family of high-order nonlinear systems with uncertain output function. First, the nominal system is globally stabilized by designing a homogeneous output feedback controller. Subsequently, the nonlinear terms are tackled by introducing a well-designed gain into the output feedback controller. It can be proved that the system states can globally converge to origin, while the dynamic gain is bounded. Furthermore, the proposed control scheme can be applied to stabilize a family of high-order nonlinear upper-triangular systems. Finally, three examples illustrate the feasibility of the control method intuitively.