TY - GEN
T1 - Beyond the existence of diagonal controllers
T2 - 44th IEEE Conference on Decision and Control, and the European Control Conference, CDC-ECC '05
AU - Licéaga-Castro, Eduardo
AU - Licéaga-Castro, Jesús
AU - Ugalde-Loo, Carlos E.
PY - 2005
Y1 - 2005
N2 - A study related to coupling measurement and the existence of diagonal controllers for multivariable linear systems is presented. It is shown that the relative gain array (RGA) can be expressed in terms of the multivariable structure function (MSF). Moreover, the appropriate interpretation and handling of the MSF allows: (a) to establish the dynamical structure of the multivariable control system, (b) to prove the existence of stabilising diagonal controllers, (c) to determine whether design specifications can be met, and (d) the general coupling measurement among channels. In order to show the application of the MSF to the analysis and design of diagonal controllers, a family of plants is studied, ranging from non coupled minimum-phase to highly coupled and non-minimum phase plants. The actual multivariable control designs are included for completeness. The examples here presented may be a good benchmark for further analysis and comparisons.
AB - A study related to coupling measurement and the existence of diagonal controllers for multivariable linear systems is presented. It is shown that the relative gain array (RGA) can be expressed in terms of the multivariable structure function (MSF). Moreover, the appropriate interpretation and handling of the MSF allows: (a) to establish the dynamical structure of the multivariable control system, (b) to prove the existence of stabilising diagonal controllers, (c) to determine whether design specifications can be met, and (d) the general coupling measurement among channels. In order to show the application of the MSF to the analysis and design of diagonal controllers, a family of plants is studied, ranging from non coupled minimum-phase to highly coupled and non-minimum phase plants. The actual multivariable control designs are included for completeness. The examples here presented may be a good benchmark for further analysis and comparisons.
UR - http://www.scopus.com/inward/record.url?scp=33847181642&partnerID=8YFLogxK
U2 - 10.1109/CDC.2005.1583314
DO - 10.1109/CDC.2005.1583314
M3 - Contribución a la conferencia
AN - SCOPUS:33847181642
SN - 0780395689
SN - 9780780395688
T3 - Proceedings of the 44th IEEE Conference on Decision and Control, and the European Control Conference, CDC-ECC '05
SP - 7150
EP - 7156
BT - Proceedings of the 44th IEEE Conference on Decision and Control, and the European Control Conference, CDC-ECC '05
Y2 - 12 December 2005 through 15 December 2005
ER -