Gain-Scheduled Smith PID Controllers for LPV Systems with Time Varying Delay: Application to an Open-flow Canal

In this paper, a new approach to design gain scheduled robust linear parameter varying (LPV) PID controllers with pole placement constraints (through LMI regions) is proposed for LPV systems with second order structure and time-varying delay. The controller structure includes a Smith predictor, real time estimated parameters that schedule the controller (including the known part of the delay) and unstructured dynamic uncertainty which covers the unknown portion of the delay. Finally, the proposed control technique is validated in a real case study based on real a single reach canal: the Lunax Gallery at Gascogne (France).