TY - GEN
T1 - Low-dimensional adaptive output feedback controller design for transport-reaction processes
AU - Pourkargar, Davood Babaei
AU - Armaou, Antonios
N1 - Funding Information:
Financial support from the National Science Foundation, CMMI Award # 13-00322 is gratefully acknowledged
Publisher Copyright:
© 2015 EUCA.
PY - 2015/11/16
Y1 - 2015/11/16
N2 - This paper focuses on adaptive output feedback control of transport-reaction processes described by semi-linear parabolic partial differential equations (PDEs) in the presence of unknown reaction parameters. Galerkin projection is applied to derive a low-dimensional reduced order model which employed as the basis for the adaptive controller design. The proposed control structure is a combination of a Lyapunov-based controller, an adaptation law and a static observer. The adaptation law is introduced to identify the unknown parameters while the static observer is employed to estimate the system modes required by the controller which cannot be measured directly from the process. The stability of the closed-loop system is shown using Lyapunov arguments. The effectiveness of the proposed low-dimensional adaptive output feedback control structure is illustrated on a tubular chemical reactor where the spatiotemporal dynamics of temperature and concentration are modeled by semi-linear parabolic PDEs. The control objective is considered to be thermal dynamics regulation in the presence of unknown heat of reaction.
AB - This paper focuses on adaptive output feedback control of transport-reaction processes described by semi-linear parabolic partial differential equations (PDEs) in the presence of unknown reaction parameters. Galerkin projection is applied to derive a low-dimensional reduced order model which employed as the basis for the adaptive controller design. The proposed control structure is a combination of a Lyapunov-based controller, an adaptation law and a static observer. The adaptation law is introduced to identify the unknown parameters while the static observer is employed to estimate the system modes required by the controller which cannot be measured directly from the process. The stability of the closed-loop system is shown using Lyapunov arguments. The effectiveness of the proposed low-dimensional adaptive output feedback control structure is illustrated on a tubular chemical reactor where the spatiotemporal dynamics of temperature and concentration are modeled by semi-linear parabolic PDEs. The control objective is considered to be thermal dynamics regulation in the presence of unknown heat of reaction.
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U2 - 10.1109/ECC.2015.7330654
DO - 10.1109/ECC.2015.7330654
M3 - Conference contribution
AN - SCOPUS:84963800343
T3 - 2015 European Control Conference, ECC 2015
SP - 885
EP - 890
BT - 2015 European Control Conference, ECC 2015
PB - Institute of Electrical and Electronics Engineers Inc.
T2 - European Control Conference, ECC 2015
Y2 - 15 July 2015 through 17 July 2015
ER -