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Research Papers: Implementation

Field Programmable Analog Array Implementation of Noninteger Order PIλDμ Controller

[+] Author and Article Information
Riccardo Caponetto

Engineering Faculty, D.I.E.E.S., University of Catania, Viale A. Doria 6, 95125 Catania Italyriccardo.caponetto@diees.unict.it

Giovanni Dongola

Engineering Faculty, D.I.E.E.S., University of Catania, Viale A. Doria 6, 95125 Catania Italygdongola@diees.unict.it

J. Comput. Nonlinear Dynam 3(2), 021302 (Feb 04, 2008) (8 pages) doi:10.1115/1.2833908 History: Received June 11, 2007; Revised August 09, 2007; Published February 04, 2008

Recently, a renewed interest has been devoted to noninteger, or fractional, order systems. This is due to the fact that they well model a lot of physical systems and can be usefully applied in the area of automatic control. On drawback, mainly faced in the area of control systems, is related to their practical realization, essentially due to their infinite dimension nature. In this paper, an analog implementation of a noninteger order PIλDμ controller by using field programmable analog array is proposed. The frequency analysis of the reported examples shows the feasibility and reliability of the proposed approach.

Copyright © 2008 by American Society of Mechanical Engineers
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References

Figures

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Figure 1

Block scheme of the device AN221E04

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Figure 2

Cascade realization of noninteger order integrator approximation

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Figure 3

Bode diagram of Oustaloup interpolation

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Figure 4

Scheme of the pole-zero CAM bilinear filter

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Figure 5

Block scheme of the CAM obtained using the ANADIGM software development tool

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Figure 6

Bode diagram of 0.7 integrator

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Figure 7

Interface for changing on-line the parameters of PIλDμ

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Figure 8

Proportional effect of the PIλDμ controller

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Figure 9

Integrative effect of the PIλDμ controller with λ=0.7

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Figure 10

Derivative effect of the PIλDμ controller with μ=0.2

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Figure 11

Response of the PIλDμ, with Kp=0.5, Ki=Kd=0.2, λ=0.7, μ=0.2 to a sinusoidal input with Vp.p.=1.8 and a frequency of 2Hz

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Figure 12

Integrative effect of the PIλDμ controller with λ=0.3 at 20Hz

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Figure 13

Derivative effect of the PIλDμ controller with μ=0.4 at 20Hz

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Figure 14

Derivative effect of the PIλDμ controller with μ=0.3 at 100Hz

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Figure 15

Integrative effect of the PIλDμ controller with λ=0.3 at 5kHz

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