Fixed‐time output feedback stabilization of a class of high‐order planar nonlinear systems

Abstract

In this article, the fixed‐time output feedback stabilization of a class of high‐order planar nonlinear systems is addressed. A fixed‐time output feedback controller is originally designed by using the bi‐limit homogeneous method and integrating with an auxiliary filter to estimate the unmeasured state. The local fixed‐time stability of the resulting closed‐loop system is theoretically proved. Moreover, the proposed controller is structurally simple and has the strong robustness against uncertainties, which makes it affordable for practical applications. Finally, numerical simulations are presented to verify the effectiveness and advantages of the proposed controller.