Definition and properties of participation factors for linear time-invariant systems are reviewed and extended. It is shown that participation factors can be interpreted as the sensitivity of a given eigenvalue with respect to a corresponding entry of the system dynamic matrix and that the entries of the system matrix are a linear combination of participation factors and eigenvalues. A comparison among participation factors, residues and relative gain array is reported, showing that participation factors can be interpreted as the relative gains between states and modes.
PARTICIPATION FACTORS AND THEIR CONNECTIONS TO RESIDUES AND RELATIVE GAIN ARRAY / Garofalo, Francesco; L., Iannelli; F., Vasca. - STAMPA. - 15:(2002), pp. 180-185. (Intervento presentato al convegno 15th IFAC World Congress tenutosi a Barcelona, Spain nel LUGLIO 2002) [10.3182/20020721-6-ES-1901.00182].
PARTICIPATION FACTORS AND THEIR CONNECTIONS TO RESIDUES AND RELATIVE GAIN ARRAY
GAROFALO, FRANCESCO;
2002
Abstract
Definition and properties of participation factors for linear time-invariant systems are reviewed and extended. It is shown that participation factors can be interpreted as the sensitivity of a given eigenvalue with respect to a corresponding entry of the system dynamic matrix and that the entries of the system matrix are a linear combination of participation factors and eigenvalues. A comparison among participation factors, residues and relative gain array is reported, showing that participation factors can be interpreted as the relative gains between states and modes.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
