TY - JOUR
T1 - On the control of unstable first order linear systems with large time lag
T2 - Observer based approach
AU - del-Muro-Cuéllar, Basilio
AU - Márquez-Rubio, Juan Francisco
AU - Velasco-Villa, Martin
AU - Álvarez-Ramírez, José de Jesús
PY - 2012
Y1 - 2012
N2 - This work considers the problem of stabilization and control of a class of unstable first order linear systems subject to a relatively large input-output delay. As a first step, the conditions to ensure the stability of the system in closed loop with an output injection strategy are presented. In a second step, the stability conditions are used to design an observer-based scheme that provides a forward output estimation together with a feedback compensation to guarantee prediction convergence. The robustness of the overall observer-based strategy is analyzed when considering uncertainties on the magnitude of the time delay associated with the plant and the one considered on the design of the observer. A stability region as a function of these two time delays is obtained. The proposed prediction scheme is complemented by the use of a PI compensator to track step reference signals and to reject step disturbances.
AB - This work considers the problem of stabilization and control of a class of unstable first order linear systems subject to a relatively large input-output delay. As a first step, the conditions to ensure the stability of the system in closed loop with an output injection strategy are presented. In a second step, the stability conditions are used to design an observer-based scheme that provides a forward output estimation together with a feedback compensation to guarantee prediction convergence. The robustness of the overall observer-based strategy is analyzed when considering uncertainties on the magnitude of the time delay associated with the plant and the one considered on the design of the observer. A stability region as a function of these two time delays is obtained. The proposed prediction scheme is complemented by the use of a PI compensator to track step reference signals and to reject step disturbances.
KW - Stabilization
KW - State prediction
KW - Time delay
UR - http://www.scopus.com/inward/record.url?scp=84875160289&partnerID=8YFLogxK
U2 - 10.3166/EJC.18.439-451
DO - 10.3166/EJC.18.439-451
M3 - Artículo
SN - 0947-3580
VL - 18
SP - 439
EP - 451
JO - European Journal of Control
JF - European Journal of Control
IS - 5
ER -