This note considers the problem of global stabilization using  sampled-data  output feedback for a class of nonlinear systems in the    $p$  - normal form which have uncontrollable and unobservable linearizations around the origin. A new sampled-data observer, which is featured with a special  feedforward propagation  structure, is constructed to estimate the unmeasurable states. The output feedback control law is obtained by discretizing the continuous-time homogeneous control law. Based on the trajectory estimation of the homogeneous system, a sampling period is determined to guarantee global asymptotic stability of the closed-loop system.
['Chunjiang Qian', 'Haibo Du', 'Shihua Li']
Global Stabilization via Sampled-Data Output Feedback for a Class of Linearly Uncontrollable and Unobservable Systems