Observer-Based Bilinear Control of First-Order Hyperbolic PDEs: Application to the Solar Collector
Type
Conference PaperKAUST Department
Computational Bioscience Research Center (CBRC)Computer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division
Electrical Engineering Program
Date
2016-02-29Online Publication Date
2016-02-29Print Publication Date
2015-12Permanent link to this record
http://hdl.handle.net/10754/593674
Metadata
Show full item recordAbstract
In this paper, we investigate the problem of bilinear control of a solar collector plant using the available boundary and solar irradiance measurements. The solar collector is described by a first-order 1D hyperbolic partial differential equation where the pump volumetric flow rate acts as the plant control input. By combining a boundary state observer and an internal energy-based control law, a nonlinear observer based feedback controller is proposed. With a feed-forward control term, the effect of the solar radiation is cancelled. Using the Lyapunov approach we prove that the proposed control guarantees the global exponential stability of both the plant and the tracking error. Simulation results are provided to illustrate the performance of the proposed method.Citation
Mechhoud, S., & Laleg-Kirati, T.-M. (2015). Observer-based bilinear control of first-order hyperbolic PDEs: Application to the solar collector. 2015 54th IEEE Conference on Decision and Control (CDC). doi:10.1109/cdc.2015.7402986Conference/Event name
2015 IEEE 54th Annual Conference on Decision and Control (CDC)ISBN
978-1-4799-7885-4ae974a485f413a2113503eed53cd6c53
10.1109/CDC.2015.7402986