Title :
Equivalence between positive real and norm-bounded uncertainty
Author_Institution :
Dept. of Aerosp. Eng., Michigan Univ., Ann Arbor, MI, USA
fDate :
8/1/1996 12:00:00 AM
Abstract :
This paper focuses on a linear time-invariant system with positive real uncertainty and shows an equivalence between positive real and norm-bounded uncertainty resulting in transformation of a proper transfer function with positive real uncertainty directly to a strictly proper transfer function with norm-bounded uncertainty which is different from the result obtained by using bilinear transform. This paper also shows a secondary result, relations between the quadratic and robust stability of a system with positive real uncertainty
Keywords :
closed loop systems; linear systems; robust control; transfer functions; uncertain systems; bilinear transform; linear time-invariant system; norm-bounded uncertainty; positive real uncertainty; quadratic stability; robust stability; strictly proper transfer function; Frequency; Linear systems; Polynomials; Robust stability; Robustness; Transfer functions; Uncertainty;
Journal_Title :
Automatic Control, IEEE Transactions on
