Positive decomposition of transfer functions with multiple poles

Nagy, B. and Matolcsi, Máté and Nagyné, Szilvási Márta (2006) Positive decomposition of transfer functions with multiple poles. LECTURE NOTES IN CONTROL AND INFORMATION SCIENCES, 341. pp. 335-342. ISSN 0170-8643

Preview

Text psota06.pdf Download (113kB) | Preview

Abstract

We present new results on decomposing the transfer function t(z) of a linear, asymptotically stable, discrete-time SISO system as a difference t(z) = t(1)(z) - t(2)(z) of two positive linear systems. We extend the results of [4] to a class of transfer functions t(z) with multiple poles. One of the appearing positive systems is always 1-dimensional, while the other has dimension corresponding to the location and order of the poles of t(z). Recently, in [11], a universal approach was found, providing a decomposition for any asymptotically stable t(z). Our approach here gives lower dimensions than [11] in certain cases but, unfortunately, at present it can only be applied to a relatively small class of transfer functions, and it does not yield a general algorithm.

Actions (login required)

Edit Item