In many problems of control and simulation of a high order system, it is often advantageous to have an appropriate lower order model for approximate design. Introducing the concept of (mixed) Pade´ approximations to Hurwitz polynomials, a novel method for linear time invariant system simplification is established. The method offers many models of the same order that are stable for a stable system, approximate a desired number of the system eigenvalues near to and far from the origin, and emphasize differently the approximation of the low frequency/steady-state and high frequency/transient responses of the system. The presented method is based entirely on a simple unified Pade´ technique.
Stable Linear Systems Simplification Via Pade´ Approximations to Hurwitz Polynomials
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Bistritz, Y., and Shaked, U. (September 1, 1981). "Stable Linear Systems Simplification Via Pade´ Approximations to Hurwitz Polynomials." ASME. J. Dyn. Sys., Meas., Control. September 1981; 103(3): 279–284. https://doi.org/10.1115/1.3140639
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