Global output feedback control of nonlinear systems with unknown output function
具有未知输出函数的非线性系统全局输出反馈控制

This paper addresses the problem of global output feedback stabilization of a class of nonlinear systems with unknown output function. Since the output function is not precisely known, traditional observers based on the output is not implementable. To tackle the problem, a state compensator independent of the output function is designed at first and the compensator states are used to globally stabilize the nominal linear system without the perturbing nonlinearities. Then, the homogeneous domination approach is applied to design a scaled homogeneous compensator and controller with an appropriately selected gain to make the uncertain nonlinear system globally finite-time stable. The numerical example shows the validity of the proposed method.