Multirate Sampled-Data Output Feedback Using High-Gain Observers

We consider multirate sampled-data output feedback control of a class of nonlinear systems using high-gain observers where the analog-to-digital sampling rate is faster than the digital-to-analog sampling rate. We show that if a single-rate sampled-data state feedback controller globally stabilizes the origin, then the multirate output feedback controller achieves semiglobal practical stabilization