Gain-scheduled Smith predictor PID-based LPV controller for open-flow canal control

In this paper, a gain-scheduled Smith Predictor PID controller is proposed for the control of an open-flow canal system that allows for dealing with large variation in operating conditions. A linear parameter varying (LPV) control-oriented model for open-flow canal systems based on a second-order delay Hayami model is proposed. Exploiting the second-order structure of this model, an LPV PID controller is designed using H∞ and linear matrix inequalities pole placement. The controller structure includes a Smith Predictor, real time estimated parameters from measurements (including the known part of the delay) that schedule the controller and predictor and unstructured dynamic uncertainty, which covers the unknown portion of the delay. Finally, the proposed controller is validated in a case study based on a single real reach canal: the Lunax Gallery at Gascogne (France).This work has been funded by contract ref. HYFA DPI2008-01996 and WATMAN DPI2009-13744 of Spanish Ministry of Education.Peer Reviewe

Gain-scheduling multivariable LPV control of an irrigation canal system

The purpose of this paper is to present a multivariable linear parameter varying (LPV) controller with a gain scheduling Smith Predictor (SP) scheme applicable to open-flow canal systems. This LPV controller based on SP is designed taking into account the uncertainty in the estimation of delay and the variation of plant parameters according to the operating point. This new methodology can be applied to a class of delay systems that can be represented by a set of models that can be factorized into a rational multivariable model in series with left/right diagonal (multiple) delays, such as, the case of irrigation canals. A multiple pool canal system is used to test and validate the proposed control approach.Peer ReviewedPostprint (author's final draft

Gain-scheduled Smith predictor PID-based LPV controller for open-flow canal control

In this paper, a gain-scheduled Smith Predictor PID controller is proposed for the control of an open flow canal system that allows to deal with large variation in operating conditions. A linear parameter varying (LPV) control oriented model for open-flow channel systems based on a Second Order Delay Hayami (SODH) model is proposed. Exploiting the second order structure of this model, an LPV PID controller is designed using and linear matrix inequalities (LMI) pole placement. The controller structure includes a Smith Predictor, real time estimated parameters from measurements (including the known part of the delay) that schedule the controller and predictor and unstructured dynamic uncertainty which covers the unknown portion of the delay. Finally, the proposed controller is validated in a case study based on a single real reach canal: the Lunax Gallery at Gascogne (France)