CLOSED-LOOP STABILITY OF A CLASS OF NONLINEAR SINGULARLY PERTURBED SYSTEMS WITH DISCRETIZED COMPOSITE FEEDBACK

In this paper, we investigate the digital implementation of continuous -time composite control feedback for a class of non-lineal singularly perturbed systems. Although starting with a stabilizing control feedba ck, the sampling process may destroy the stability properties of the r esulting closed-loop system. In this paper, multirate measurements (sl ow variables are measured at a rate slower than that of fast variables ) are considered. Sufficient conditions for the slow and fast sampling periods which preserve exponential stability properties are establish ed. Finally, a numerical example is given to illustrate the theoretica l results. (C) 1997 The Franklin Institute. Published by Elsevier Scie nce Ltd.