Concepedia

Routh-Pade approximation for interval systems

B. Bandyopadhyay, O. Ismail, R. Gorez

IEEE Transactions on Automatic Control · 1994 · 140 citations · 14 references

DOI

Concepts

Abstract

Presents a method for the reduction of the order of interval system. The denominator of the reduced model is obtained by a direct truncation of the Routh table of the interval system. The numerator is obtained by matching the coefficients of power series expansions of the interval system and its reduced model. A numerical example illustrates the proposed procedure.< <ETX xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">&gt;</ETX>

References

14

All optimal Hankel-norm approximations of linear multivariable systems and their<i>L</i>,<sup>∞</sup>-error bounds†

K. Glover · International Journal of Control · 1984 · 2.9K citations

, , +14

Routh approximations for reducing order of linear, time-invariant systems

M. Hutton, Bernard Friedland · IEEE Transactions on Automatic Control · 1975 · 623 citations

, , +15

Control of large-scale dynamic systems by aggregation

Masanao Aoki · IEEE Transactions on Automatic Control · 1968 · 539 citations

, , +17

Stable reduced-order models using Padé-type approximations

Y. Shamash · IEEE Transactions on Automatic Control · 1974 · 307 citations

, , +9

A generalization of Kharitonov's four-polynomial concept for robust stability problems with linearly dependent coefficient perturbations

B. Ross Barmish · IEEE Transactions on Automatic Control · 1989 · 284 citations · Full text

, , +12