TY - JOUR
T1 - PD–PID controller for delayed systems with two unstable poles
T2 - a frequency domain approach
AU - Novella-Rodríguez, David Fernando
AU - Cuéllar, Basilio del Muro
AU - Márquez-Rubio, Juan Francisco
AU - Hernández-Pérez, Miguel Ángel
AU - Velasco-Villa, Martin
N1 - Publisher Copyright:
© 2017, © 2017 Informa UK Limited, trading as Taylor & Francis Group.
PY - 2019/5/4
Y1 - 2019/5/4
N2 - This paper deals with the stability problem of linear delayed systems containing two unstable real poles by means of PD controllers. The analysis presented is based on frequency domain techniques. Necessary and sufficient conditions for the existence of stabilising controllers are given in terms of the parameters of the system and the time delay size. The main result is extended to delayed systems with two unstable poles and n stable real poles. PID controllers are also considered in order to control the studied systems, obtaining similar stability conditions. Numerical examples are presented in order to illustrate the control performance.
AB - This paper deals with the stability problem of linear delayed systems containing two unstable real poles by means of PD controllers. The analysis presented is based on frequency domain techniques. Necessary and sufficient conditions for the existence of stabilising controllers are given in terms of the parameters of the system and the time delay size. The main result is extended to delayed systems with two unstable poles and n stable real poles. PID controllers are also considered in order to control the studied systems, obtaining similar stability conditions. Numerical examples are presented in order to illustrate the control performance.
KW - PID controller
KW - Time delays
KW - high order system
KW - unstable system
UR - http://www.scopus.com/inward/record.url?scp=85032012419&partnerID=8YFLogxK
U2 - 10.1080/00207179.2017.1386326
DO - 10.1080/00207179.2017.1386326
M3 - Artículo
SN - 0020-7179
VL - 92
SP - 1196
EP - 1208
JO - International Journal of Control
JF - International Journal of Control
IS - 5
ER -