Abstract
This paper addresses the output regulation of flow systems described by a class of two-time-scale nonlinear PDE systems. Within the framework of singular perturbation, the reduced-order slow model comprised of first-order PDEs coupled with ODEs is obtained. Based on the numerical approximation technique and the solvability of an inertial manifold, the finite-dimensional nonlinear model with nonlinear input is developed in this paper. Extending from the geometric control method, the non-distributed nonlinear controller can be synthesized. A combination of the state-space internal model control scheme, the reduced observer-based controller can asymptotically attenuate the effect of external disturbances. Finally, the developed methodologies are successfully applied to the development of a PFR system asscociated with the cooling coil apparatus.
| Original language | English |
|---|---|
| Pages (from-to) | 637-647 |
| Number of pages | 11 |
| Journal | Journal of Process Control |
| Volume | 11 |
| Issue number | 6 |
| DOIs | |
| Publication status | Published - 2001 Dec 1 |
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All Science Journal Classification (ASJC) codes
- Process Chemistry and Technology
- Control and Systems Engineering
- Industrial and Manufacturing Engineering
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Output regulation of two-time-scale hyperbolic PDE systems. / Wu, Wei; Liou, Ching Tien.
In: Journal of Process Control, Vol. 11, No. 6, 01.12.2001, p. 637-647.Research output: Contribution to journal › Article
TY - JOUR
T1 - Output regulation of two-time-scale hyperbolic PDE systems
AU - Wu, Wei
AU - Liou, Ching Tien
PY - 2001/12/1
Y1 - 2001/12/1
N2 - This paper addresses the output regulation of flow systems described by a class of two-time-scale nonlinear PDE systems. Within the framework of singular perturbation, the reduced-order slow model comprised of first-order PDEs coupled with ODEs is obtained. Based on the numerical approximation technique and the solvability of an inertial manifold, the finite-dimensional nonlinear model with nonlinear input is developed in this paper. Extending from the geometric control method, the non-distributed nonlinear controller can be synthesized. A combination of the state-space internal model control scheme, the reduced observer-based controller can asymptotically attenuate the effect of external disturbances. Finally, the developed methodologies are successfully applied to the development of a PFR system asscociated with the cooling coil apparatus.
AB - This paper addresses the output regulation of flow systems described by a class of two-time-scale nonlinear PDE systems. Within the framework of singular perturbation, the reduced-order slow model comprised of first-order PDEs coupled with ODEs is obtained. Based on the numerical approximation technique and the solvability of an inertial manifold, the finite-dimensional nonlinear model with nonlinear input is developed in this paper. Extending from the geometric control method, the non-distributed nonlinear controller can be synthesized. A combination of the state-space internal model control scheme, the reduced observer-based controller can asymptotically attenuate the effect of external disturbances. Finally, the developed methodologies are successfully applied to the development of a PFR system asscociated with the cooling coil apparatus.
UR - http://www.scopus.com/inward/record.url?scp=0035546426&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=0035546426&partnerID=8YFLogxK
U2 - 10.1016/S0959-1524(00)00054-8
DO - 10.1016/S0959-1524(00)00054-8
M3 - Article
VL - 11
SP - 637
EP - 647
JO - Journal of Process Control
JF - Journal of Process Control
SN - 0959-1524
IS - 6
ER -