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A quasi-LPV model for gain-scheduling canal control

Bolea Y., Puig V., Blesa J., Gomez M., Rodellar J.

Archives of Control Sciences

2004

Vol. 14, no. 3/4

299-313

In this paper, a quasi-linear parameter-varying (quasi-LPV) model for canal control is proposed. This model relates the downstream level with the gate opening and takes into account the non-linearity, the variation of the model parameters and the dependence with the operating point. Thus, this kind of a model represents in a more accurate way the canal behavior than a linear time invariant (LTI) model. Moreover, it is suitable as for the conventional gain-scheduling as for a rigorous and formal (LPV or fuzzy) gain-scheduling control design using linear matrix inequality (LMI) tools. Finally, the proposed LPV model has been used to design a conventional gain-scheduling (GS) PI controller and tested on a single pool canal.