Robust control of linear continuous time-delay systems with finite discrete jumps and norm-bounded uncertainties

The problem of robust H∞ control for a class of systems with parametric uncertainties and unknown time delays under sampled measurements is investigated. The parameter uncertainties considered here are real time-varying norm-bounded, appearing in both the state and output equations. A methodology is proposed to design H∞ controllers, using sampled measurements. The problems of robust stabilization and robust H∞ control are studied. We show that both problems can be solved in terms of ‘scaled’ H∞ sampled-data control problems without parameter uncertainty and unknown delays. A numerical example is presented to illustrate the potential of the proposed technique.