Title :
On the parametric H∞ problems of weighted interval plants
Author :
An, Sen-Jian ; Huang, Lin ; Wang, Enping
Author_Institution :
Dept. of Autom. Control, Acad. Sinica, Beijing, China
fDate :
2/1/2000 12:00:00 AM
Abstract :
In this paper, we consider the parametric H∞ problems of weighted interval plants. A sufficient condition will be given on weighting function W(s) such that for any interval plant P(s, q, r) the maximal H∞ norm of W(s)P(s, q, r) is achieved at one of the 16 so-called weighted Kharitonov plants. It is shown that for first-order and some high-order stable weighting functions, the extremality property is enjoyed generally by the maximal H∞ norm of weighted interval plants
Keywords :
H∞ control; stability; maximal H∞ norm; parametric H∞ problems; stable weighting functions; weighted Kharitonov plants; weighted interval plants; Polynomials; Robust stability; Sufficient conditions; Transfer functions; Uncertainty;
Journal_Title :
Automatic Control, IEEE Transactions on
