Automatica, Vol.33, No.5, 963-967, 1997
Robust-Control of Linear-Systems with Generalized Positive Real Uncertainty
This paper focuses on linear systems subjected to a new class of time-varying parameter uncertainty. The parameter uncertainty under consideration generalizes both positive real and norm bounded uncertainty in some sense, and is a more realistic description of uncertainty for many practical systems. The problems of robust stability analysis, robust stabilization, and robust H-x control for this class of uncertain systems are studied. It is shown that the above robust control problems can be converted into associated scaled H-x control ones.