Observer-Based Bilinear Control of First-Order Hyperbolic PDEs: Application to the Solar Collector

摘要

In this paper, we investigate the problem of bilinearudcontrol of a solar collector plant using the available boundaryudand solar irradiance measurements. The solar collector isuddescribed by a first-order 1D hyperbolic partial differentialudequation where the pump volumetric flow rate acts as theudplant control input. By combining a boundary state observerudand an internal energy-based control law, a nonlinear observerudbased feedback controller is proposed. With a feed-forwardudcontrol term, the effect of the solar radiation is cancelled. Usingudthe Lyapunov approach we prove that the proposed controludguarantees the global exponential stability of both the plant andudthe tracking error. Simulation results are provided to illustrateudthe performance of the proposed method.