On the parametric H/sub ∞/ problems of weighted interval plants
Senjian An, Lin Huang, Enping Wang · IEEE Transactions on Automatic Control · 2000
In this paper, we consider the parametric H/sub /spl infin// 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/sub /spl infin// 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/sub /spl infin// norm of weighted interval plants.