TY - JOUR
T1 - Feedback Control of Hyperbolic PDE Systems
AU - Christofides, Panagiotis D.
AU - Daoutidis, Prodromes
PY - 1996/11
Y1 - 1996/11
N2 - This article deals with distributed parameter systems described by first-order hyperbolic partial differential equations (PDEs), for which the manipulated input, the controlled output, and the measured output are distributed in space. For these systems, a general output-feedback control methodology is developed employing a combination of theory of PDEs and concepts from geometric control. A concept of characteristic index is introduced and used for the synthesis of distributed state-feedback laws that guarantee output tracking in the closed-loop system. Analytical formulas of distributed output-feedback controllers are derived through combination of appropriate distributed state observers with the developed state-feedback controllers. Theoretical analogies between our approach and available results on stabilization of linear hyperbolic PDEs are also identified. The developed control methodology is implemented on a nonisothermal plug-flow reactor and its performance is evaluated through simulations.
AB - This article deals with distributed parameter systems described by first-order hyperbolic partial differential equations (PDEs), for which the manipulated input, the controlled output, and the measured output are distributed in space. For these systems, a general output-feedback control methodology is developed employing a combination of theory of PDEs and concepts from geometric control. A concept of characteristic index is introduced and used for the synthesis of distributed state-feedback laws that guarantee output tracking in the closed-loop system. Analytical formulas of distributed output-feedback controllers are derived through combination of appropriate distributed state observers with the developed state-feedback controllers. Theoretical analogies between our approach and available results on stabilization of linear hyperbolic PDEs are also identified. The developed control methodology is implemented on a nonisothermal plug-flow reactor and its performance is evaluated through simulations.
UR - http://www.scopus.com/inward/record.url?scp=0030287767&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=0030287767&partnerID=8YFLogxK
U2 - 10.1002/aic.690421108
DO - 10.1002/aic.690421108
M3 - Article
AN - SCOPUS:0030287767
SN - 0001-1541
VL - 42
SP - 3063
EP - 3086
JO - AIChE Journal
JF - AIChE Journal
IS - 11
ER -