ABSTRACT

In [6-7], this approach is used for the stability analysis of NCSs with time-varying delays and constant sampling intervals, using linear matrix inequality-based techniques. The recent results in [8] also involve H

∞ controller designs based on Lin-

ear Matrix Inequalities (LMIs). However, Mirkin [9] showed that the use of such an approach for digital control systems neglects the piecewise constant nature of the control signal due to the zeroorder-hold and delay jointly introduce a particular linearly increasing time-varying delay within each control update interval (sometimes indicated by the sawtooth behaviour of the delay), whereas in the modeling approach mentioned above it is replaced by an arbitrary bounded time-varying delay.