Reduced order modelling of linear interval systems using multipoint continued fraction expansion

Due to the fact that the overall geometry sizes of electronic structure in general becomes smaller and the frequencies of the signals used by these structures is increasing, many electromagnetic effects are tending to influence the behavior of the whole electronic structures. These effects do not only take place in very small features sizes in chips, but also on PCB´s scale these effects are observed. Modeling of the behavior of these structures involves complicated and, more important, very large systems. Model order reduction can help reducing the size of these models, to make it computationally more flexible. In this paper, reduced order modeling of linear interval systems using multipoint continued fraction expansion is studied. Continuous time invariant systems characterized by rational transfer functions is also considered in this paper. The Kharitonov´s polynomial associated with the numerators and denominators of the original interval system and interval reduced model are obtained.