Global stabilization via sampled-data output feedback control for a class of nonlinear systems subject to time-delays

This paper considers the problem of global output feedback stabilization via sampled-data control for a class of uncertain nonlinear systems subject to time delays. The system satisfies a lower-triangular linear growth condition with unknown growth rates. A new inductive method is first introduced to estimate the state growth in the presence of time delays and non-varnishing nonlinearities. When only the output of the system is measurable, with the help of output domination approach, a sampled-data output feedback controller is constructed to solve the global stabilization problem. The proposed sampled-data controller is linear in structure and therefore can be easily implemented in practice.