Title :
Algorithm for positive realization of transfer functions
Author :
Nagy, Béla ; Matolcsi, M.
Author_Institution :
Math. Dept., Tech. Univ., Budapest, Hungary
fDate :
5/1/2003 12:00:00 AM
Abstract :
The aim of this brief is to present a finite-step algorithm for the positive realization of a rational transfer function H(z). In comparison with previously described algorithms we emphasize that we do not make an a priori assumption on (but, instead, include a finite step procedure for checking) the nonnegativity of the impulse-response sequence of H(z). For primitive transfer functions a new method for reducing the pole order of the dominant pole is also proposed.
Keywords :
discrete time systems; linear systems; pole assignment; rational functions; transfer functions; transient response; discrete time-invariant linear system; dominant pole; finite step procedure; impulse-response sequence; nonnegativity; pole order reduction; positive linear systems; positive realization; primitive transfer functions; rational transfer function; Chemicals; Circuits; Linear systems; Mathematics; Observability; Routing; State-space methods; Transfer functions;
Journal_Title :
Circuits and Systems I: Fundamental Theory and Applications, IEEE Transactions on
DOI :
10.1109/TCSI.2003.811014
