Nondiagonal QFT Controller Design for a Three-Input Three-Output Industrial Furnace

[+] Author and Article Information
M. Garcia-Sanz

Automatic Control and Computer Science Department, Campus Arrosadia, Public University of Navarra, 31006 Pamplona, Spainmgsanz@unavarra.es

M. Barreras

Automatic Control and Computer Science Department, Campus Arrosadia, Public University of Navarra, 31006 Pamplona, Spain

J. Dyn. Sys., Meas., Control 128(2), 319-329 (Jul 29, 2005) (11 pages) doi:10.1115/1.2194068 History: Received February 08, 2005; Revised July 29, 2005

This paper addresses the temperature control of a three-input (power supplies) three-output (temperature sensors) industrial furnace used to manufacture large composite pieces. Due to the multivariable condition of the process, the strong interaction between the three control loops and the presence of model uncertainties, a sequential design methodology based on quantitative feedback theory is proposed to design the controllers. The methodology derives a full matrix compensator that improves reliability, stability, and control. It not only copes with furnace model uncertainties but also enhances the reference tracking and the homogeneousness of the composite piece temperature while minimizing the coupling effects among the furnace zones and the operating costs.

Copyright © 2006 by American Society of Mechanical Engineers
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Figure 1

Industrial furnace and piece to be manufactured inside. (Courtesy of MTorres and Siflexa, Spain).

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Figure 2

Control structure of the furnace. Two degree of freedom MIMO system.

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Figure 3

Tracking specifications. (a) Time domain. (b) Frequency domain.

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Figure 8

Loop shaping step B3: L0(s)=[p33*e(s)]−1g33(s)

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Figure 9

Response of the 3×3 MIMO industrial furnace, following a reference cure cycle and rejecting a disturbance at plant output in the first channel at t=41,400sec. (a), (b) T1 and OP1. (c), (d) T2 and OP2. (e), (f) T3 and OP3.

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Figure 10

Structure of a two degree of freedom MIMO system

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Figure 11

Sequential steps for controller design

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Figure 7

Loop shaping step B2: L0(s)=[p22*e(s)]−1g22(s)

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Figure 4

(a) Element λ11, (b) element λ12, (c) element λ21, and (d) element λ22 of the RGA matrix. λ13, λ23, λ33, λ31, λ32 can be calculated applying Σλij=1, ∀i or ∀j.

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Figure 5

Loop shaping step B1: L0(s)=[p11*e(s)]−1g11(s)

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Figure 6

Frequency plot of the obtained coupling reduction due to (a) g21(s), (b) g12(s), (c) g32(s),




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