A /spl mu/ analysis technique without frequency gridding
G. Ferreres, Jean‐Marc Biannic · 1998
The aim of this paper is to directly compute an upper bound of the maximal structured singular value over a frequency interval. In the context of the mixed /spl mu/ upper bound of Fan et al. (1991) and Young et al. (1995), an heuristic method has been proposed, namely to synthesize D,G scaling matrices, which simultaneously work at two neighbouring frequencies /spl omega//sub 1/ and /spl omega//sub 2/. Interestingly, even if /spl omega//sub 1/ and /spl omega//sub 2/ are not a priori very close, it remains possible to synthesize D,G scaling matrices, which simultaneously work at those two frequencies and to check a posteriori that D and G work indeed on the whole segment [/spl omega//sub 1//spl omega//sub 2/]. An important contribution of this paper is to provide an easy and yet rigorous method, for solving this last problem. The technique is finally successfully applied to a non-academic example, which may be significant to a large flexible system.