Abstract
This paper describes a comprehensive methodology to obtain reduced-order models that satisfy the Prett-García digital PID tuning rules, using prefiltered AutoRegressive with external input (ARX) estimation as a basis. The Prett-García tuning rules possess the advantage that they systematically relate all the controller parameters to the plant model and a low-pass filter with a single adjustable parameter, which directly influences the closed-loop speed-of-response. Furthermore, these rules avoid the problems of intersample rippling, excessive overshoot and undershoot that are a consequence of sampling. The essential aspect of the estimation method is the selection of the prefilter, which allows the reduced model to retain those plant characteristics that have the most effect on closed-loop system behavior. The design of the prefilter is performed systematically using the engineer's desired control requirements and the setpoint/disturbance characteristics of the problem. The benefits of this method are shown for a variety of simulated plants, which include a fourth-order system, plants with time delay and integrators, and a plant with zeros outside the unit circle.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 1317-1334 |
| Number of pages | 18 |
| Journal | Computers and Chemical Engineering |
| Volume | 20 |
| Issue number | 11 |
| State | Published - 1996 |
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ASJC Scopus subject areas
- Chemical Engineering(all)
- Control and Systems Engineering
Cite this
Digital PID controller design using ARX estimation. / Rivera, Daniel; Gaikwad, S. V.
In: Computers and Chemical Engineering, Vol. 20, No. 11, 1996, p. 1317-1334.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - Digital PID controller design using ARX estimation
AU - Rivera, Daniel
AU - Gaikwad, S. V.
PY - 1996
Y1 - 1996
N2 - This paper describes a comprehensive methodology to obtain reduced-order models that satisfy the Prett-García digital PID tuning rules, using prefiltered AutoRegressive with external input (ARX) estimation as a basis. The Prett-García tuning rules possess the advantage that they systematically relate all the controller parameters to the plant model and a low-pass filter with a single adjustable parameter, which directly influences the closed-loop speed-of-response. Furthermore, these rules avoid the problems of intersample rippling, excessive overshoot and undershoot that are a consequence of sampling. The essential aspect of the estimation method is the selection of the prefilter, which allows the reduced model to retain those plant characteristics that have the most effect on closed-loop system behavior. The design of the prefilter is performed systematically using the engineer's desired control requirements and the setpoint/disturbance characteristics of the problem. The benefits of this method are shown for a variety of simulated plants, which include a fourth-order system, plants with time delay and integrators, and a plant with zeros outside the unit circle.
AB - This paper describes a comprehensive methodology to obtain reduced-order models that satisfy the Prett-García digital PID tuning rules, using prefiltered AutoRegressive with external input (ARX) estimation as a basis. The Prett-García tuning rules possess the advantage that they systematically relate all the controller parameters to the plant model and a low-pass filter with a single adjustable parameter, which directly influences the closed-loop speed-of-response. Furthermore, these rules avoid the problems of intersample rippling, excessive overshoot and undershoot that are a consequence of sampling. The essential aspect of the estimation method is the selection of the prefilter, which allows the reduced model to retain those plant characteristics that have the most effect on closed-loop system behavior. The design of the prefilter is performed systematically using the engineer's desired control requirements and the setpoint/disturbance characteristics of the problem. The benefits of this method are shown for a variety of simulated plants, which include a fourth-order system, plants with time delay and integrators, and a plant with zeros outside the unit circle.
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M3 - Article
AN - SCOPUS:0030190665
VL - 20
SP - 1317
EP - 1334
JO - Computers and Chemical Engineering
JF - Computers and Chemical Engineering
SN - 0098-1354
IS - 11
ER -