A standard result of linear-system theory states that a SISO rational nth-order transfer function always has an nth order realization. In some applications, one is interested in having a realization with nonnegative entries (i.e., a positive system) and it is known that a positive system may not be minimal in the usual sense. In this paper, we give an explicit necessary and sufficient condition for a third-order transfer function with distinct real positive poles to have a third-order positive realization. The proof is constructive so that it is straightforward to obtain a minimal positive realization.
Minimal positive realizations of transfer functions with positive real poles / Benvenuti, Luca; Farina, Lorenzo; B. D. O., Anderson; F., De Bruyne. - In: IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I. FUNDAMENTAL THEORY AND APPLICATIONS. - ISSN 1057-7122. - 47:9(2000), pp. 1370-1377. [10.1109/81.883332]
Minimal positive realizations of transfer functions with positive real poles
BENVENUTI, Luca;FARINA, Lorenzo;
2000
Abstract
A standard result of linear-system theory states that a SISO rational nth-order transfer function always has an nth order realization. In some applications, one is interested in having a realization with nonnegative entries (i.e., a positive system) and it is known that a positive system may not be minimal in the usual sense. In this paper, we give an explicit necessary and sufficient condition for a third-order transfer function with distinct real positive poles to have a third-order positive realization. The proof is constructive so that it is straightforward to obtain a minimal positive realization.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
