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TECHNICAL PAPERS

Model Reduction of Large-Scale Discrete Plants With Specified Frequency Domain Balanced Structure

[+] Author and Article Information
Abbas H. Zadegan

Department of Electrical Engineering, Florida Atlantic University, Boca Raton, FL 33431

Ali Zilouchian

Department of Electrical Engineering, Florida Atlantic University, Boca Raton, FL 33431zilouchian@fau.edu, zadegan@fiu.edu

J. Dyn. Sys., Meas., Control 127(3), 486-498 (Nov 17, 2004) (13 pages) doi:10.1115/1.1985436 History: Received December 20, 2003; Revised October 17, 2004; Accepted November 17, 2004

A new model reduction technique for linear time-invariant systems is proposed. A new method that reduces the order of large-scale systems by integrating singular perturbation with specified frequency domain balanced structure is proposed. Considering a frequency range at which the system actually operates guarantees a good approximation of the original full order model. Simulation experiments for model reduction of several large-scale systems demonstrate the effectiveness of the proposed technique.

Copyright © 2005 by American Society of Mechanical Engineers
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References

Figures

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Figure 1

G(s) (original), Gb(s) (balanced), and Gp(s) (proposed) in example 1

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Figure 4

G(s) (original), GE(s) (Enns), Gb(s) (bal), and Gp(s) (prop) in example 2

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Figure 8

G(s) (original) and Gp(s) (proposed) in example 2

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Figure 2

Spectral norm ∣G(s)−Gb(s)∣ and ∣G(s)−Gp(s)∣ in example 1

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Figure 3

G(s) (original), GE(s) (Enns), Gb(s) (bal), and Gp(s) (prop) in example 2

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Figure 5

G(s) (original), GE(s) (Enns), Gb(s) (bal), and Gp(s) (prop) in example 2

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Figure 6

G(s) (original), GE(s) (Enns), Gb(s) (bal), and Gp(s) (prop) in example 2

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Figure 7

G(s) (original) and Gp(s) (proposed) in example 2

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Figure 9

G(s) (original), GE(s) (Enns), Gb(s) (bal), and Gp(s) (prop) in example 2

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Figure 10

G(s) (original), GE(s) (Enns), Gb(s) (bal), and Gp(s) (prop) in example 2

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Figure 11

G(z) (original), GW(z) (Wang), Gb(z) (bal), and Gp(z) (prop) in example 3

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Figure 12

Spectral norm errors in frequency range [−π8,π8] in example 3

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Figure 13

G(z) (original), GA(z) (Alsaggaf’s), and Gp(z) (proposed) in example 4

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Figure 14

G(z) (original) and Gp(z) (proposed) in example 4

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Figure 15

Spectral norm error for output 1 in example 4

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Figure 16

Spectral norm error for output 4 in example 4

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