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Technical Briefs

Rule-Based Fractional Control of an Irrigation Canal

[+] Author and Article Information
Jorge Domingues

IDMEC/IST, Technical University of Lisbon, Avenida Rovisco Pais 1, 1049-001 Lisboa, Portugaldomin.jor@gmail.com

Duarte Valério1

IDMEC/IST, Technical University of Lisbon, Avenida Rovisco Pais 1, 1049-001 Lisboa, Portugalduarte.valerio@ist.utl.pt

José Sá da Costa

IDMEC/IST, Technical University of Lisbon, Avenida Rovisco Pais 1, 1049-001 Lisboa, Portugalsadacosta@dem.ist.utl.pt

1

Corresponding author.

J. Comput. Nonlinear Dynam 6(2), 024503 (Oct 22, 2010) (5 pages) doi:10.1115/1.4002509 History: Received December 16, 2009; Revised June 18, 2010; Published October 22, 2010; Online October 22, 2010

In this paper, a SIMULINK simulation of a four-pool irrigation canal extant in Évora, Portugal is controlled using PID and fractional PID controllers, adjusted using an optimization method and tuning rules. Fractional control and rule-tuning emerge as the best options.

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Copyright © 2011 by American Society of Mechanical Engineers
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Figures

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Figure 3

Simulation results water levels: (left) PIDs, optimized (—), PIDs, and Ziegler–Nichols rules (- -), (right) FPIs, optimized (—), PIDs, rules to approximate a fractional PID (- -), and fractional PIDs (⋯)

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Figure 2

Submerged (left) and overshot (right) gates

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Figure 1

The Évora canal (diagram not to scale; no actual representation of the water profile in each pool is intended)

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Figure 4

Bode diagram of sα

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