Global Finite-Time Stabilization for Uncertain Systems With Unknown Measurement Sensitivity
针对传感器精度有限导致测量误差的问题，提出一种不依赖非线性信息的有限时间收敛观测器，结合齐次占优和加幂积分器方法，设计出由多重嵌套符号函数构成的输出反馈控制器，实现全局有限时间镇定。
This article focuses on global finite-time output feedback stabilization for uncertain nonlinear systems with unknown measurement sensitivity. The existence of the continuous measurement error resulting from limited accuracy of sensors invalidates the existing design strategies depending on the use of the precise output in the construction of an observer, which highlights the contribution of this article. Essentially, different from related works, we propose a new finite-time convergent observer by avoiding the use of the information on nonlinearities. By combining the homogeneous domination with the addition of a power integrator method, an output feedback controller composed of multiple nested sign functions is successfully developed. Finally, the effectiveness of the presented scheme is exhibited by a numerical example.