TY - GEN
T1 - Boundary control of nonlinear coupled heat systems using backstepping
AU - Bendevis, Paul
AU - Laleg-Kirati, Taous-Meriem
N1 - KAUST Repository Item: Exported on 2020-10-01
PY - 2016/10/20
Y1 - 2016/10/20
N2 - A state feedback boundary controller is designed for a 2D coupled PDE system modelling heat transfer in a membrane distillation system for water desalination. Fluid is separated into two compartments with nonlinear coupling at a membrane boundary. The controller sets the temperature on one boundary in order to track a temperature difference across the membrane boundary. The control objective is achieved by an extension of backstepping methods to these coupled equations. Stability of the target system via Lyapunov like methods, and the invertibility of the integral transformation are used to show the stability of the tracking error.
AB - A state feedback boundary controller is designed for a 2D coupled PDE system modelling heat transfer in a membrane distillation system for water desalination. Fluid is separated into two compartments with nonlinear coupling at a membrane boundary. The controller sets the temperature on one boundary in order to track a temperature difference across the membrane boundary. The control objective is achieved by an extension of backstepping methods to these coupled equations. Stability of the target system via Lyapunov like methods, and the invertibility of the integral transformation are used to show the stability of the tracking error.
UR - http://hdl.handle.net/10754/622381
UR - http://ieeexplore.ieee.org/document/7587963/
UR - http://www.scopus.com/inward/record.url?scp=84994246563&partnerID=8YFLogxK
U2 - 10.1109/CCA.2016.7587963
DO - 10.1109/CCA.2016.7587963
M3 - Conference contribution
SN - 9781509007554
SP - 1161
EP - 1166
BT - 2016 IEEE Conference on Control Applications (CCA)
PB - Institute of Electrical and Electronics Engineers (IEEE)
ER -