TY - JOUR
T1 - Observer-based smith prediction scheme for unstable plus time delay processes
AU - Del-Muro-Cuellar, Basilio
AU - Velasco-Villa, Martín
AU - Jiménez-Ramírez, Omar
AU - Fernández-Anaya, Guillermo
AU - Álvarez-Ramírez, José
PY - 2007/7/4
Y1 - 2007/7/4
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, where the overall approximation results in a high-order Pade approximation that converges to the original 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 (i) 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, where the overall approximation results in a high-order Pade approximation that converges to the original 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 (i) 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=34547200523&partnerID=8YFLogxK
U2 - 10.1021/ie061203k
DO - 10.1021/ie061203k
M3 - Artículo
SN - 0888-5885
VL - 46
SP - 4906
EP - 4913
JO - Industrial and Engineering Chemistry Research
JF - Industrial and Engineering Chemistry Research
IS - 14
ER -