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LPV VS Multi-model PI(D) Gain-scheduling Applied to Canal Control

Authors:Bolea Yolanda, Universitat Politècnica de Catalunya (UPC), Spain
Puig Vicenç, Universitat Politècnica de Catalunya (UPC), Spain
Blesa Joaquín, Universitat Politècnica de Catalunya (UPC), Spain
Gómez Manuel, Universitat Politècnica de Catalunya (UPC), Spain
Rodellar José, Universitat Politècnica de Catalunya (UPC), Spain
Topic:8.3 Modelling & Control of Environmental Systems
Session:Modeling and Control of Water Resources, Irrigation and Distribution Systems
Keywords: Multi-Model GS, LPV GS, PI(D) Controller, Nonlinear Systems, Environmental Systems.

Abstract

This paper compares the multi-model gain scheduling (GS) control versus the linear parameter varying (LPV) gain scheduling control. The results of this comparative study is carried out exclusively with PI controllers. Although the simplicity and easiness of the former approach for controlling non-linear industrial plants, its main drawback relies on the impossibility to assure stability and performance for slow parameter variation. On the other hand, the later approach rigorously ensures stability and performance of the control system for any variation (smooth as well as abrupt) of the plant parameters. Finally, both methodologies are tested on a test bench canal.