Structured linear uncertain systems reduction

Abstract

In this paper a method for structured linear uncertain system reduction is presented. The reduced model is obtained by retaining [/spl beta//sub 1//sup -/, /spl beta//sub 1//sup +/] and [/spl alpha//sub 1//sup -/, /spl alpha//sub 1//sup +/] (for the steady state of reduced model and original system be equal) along with [/spl beta//sub 1//sup -/, /spl beta//sub 1//sup +/] and [/spl alpha//sub 1//sup -/, /spl alpha//sub 1//sup +/] for (i=2, 3, ..., r-1) which are contributing most to impulse response energy [I/sub s//sup -/, I/sub s//sup +/]. A numerical example illustrates the procedure.