TY - GEN
T1 - Observer-based prediction scheme for time-lag processes
AU - Del-Muro-Cuellar, B.
AU - Velasco-Villa, M.
AU - Fernández-Anaya, G.
AU - Jiménez-Ramírez, O.
AU - Álvarez-Ramírez, J.
PY - 2007
Y1 - 2007
N2 - This work considers the stabilization problem for unstable linear input-delay systems. The main idea of the paper is to use a finite-dimensional approximation for the delay operator, which is based on non-overlapping partitions of the time delay. Subsequently, each individual delay is approximated by means of a classical Pade approximation, resulting the overall approximation in a high-order Pade approximation that converges to the delay operator. By departing from a state-space realization of the approximate process, a linear observer is used to estimate the delay-free output, which is used within a compensation scheme to stabilize the process output. The resulting control strategy has the structure of an observer-based Smith prediction scheme. Numerical results on three examples show that 1) the finer the time delay partition, the better the control performance, and ii) high-order compensators can be required to stabilize certain unstable processes.
AB - This work considers the stabilization problem for unstable linear input-delay systems. The main idea of the paper is to use a finite-dimensional approximation for the delay operator, which is based on non-overlapping partitions of the time delay. Subsequently, each individual delay is approximated by means of a classical Pade approximation, resulting the overall approximation in a high-order Pade approximation that converges to the delay operator. By departing from a state-space realization of the approximate process, a linear observer is used to estimate the delay-free output, which is used within a compensation scheme to stabilize the process output. The resulting control strategy has the structure of an observer-based Smith prediction scheme. Numerical results on three examples show that 1) the finer the time delay partition, the better the control performance, and ii) high-order compensators can be required to stabilize certain unstable processes.
UR - http://www.scopus.com/inward/record.url?scp=46449101817&partnerID=8YFLogxK
U2 - 10.1109/ACC.2007.4282872
DO - 10.1109/ACC.2007.4282872
M3 - Contribución a la conferencia
AN - SCOPUS:46449101817
SN - 1424409888
SN - 9781424409884
T3 - Proceedings of the American Control Conference
SP - 639
EP - 644
BT - Proceedings of the 2007 American Control Conference, ACC
T2 - 2007 American Control Conference, ACC
Y2 - 9 July 2007 through 13 July 2007
ER -