Robust Sampled-Data Control of Linear Singularly Perturbed Systems

State-feedback H∞ control problem for linear singularly perturbed systems with norm-bounded uncertainties is studied. The fast variables are sampled with fast rates, while for the slow variables both cases of slow and of fast sampling are considered. The recent `input delay’ approach to sampled-data control is applied, where the closed-loop system is represented as a continuous one with time-varying input delay. Linear Matrix Inequalities (LMIs) criteria are derived for stability and stabilization via input-output approach to stability and L2-gain analysis of time-delay systems. Numerical example illustrates the efficiency of the method.