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 conside ration generalizes both positive real and norm bounded uncertainty in some sense, and is a more realistic description of uncertainty for man y practical systems. The problems of robust stability analysis, robust stabilization, and robust H-x control for this class of uncertain sys tems are studied. It is shown that the above robust control problems c an be converted into associated scaled H-x control ones. (C) 1997 Else vier Science Ltd.