Prozeßmodellfreier PID-Regler- Entwurf nach dem Betragsoptimum / Model-free PID-controller design by means of the method of gain Optimum

Preuss, H.-P.

doi:10.1524/auto.1991.39.112.15

Cited by 14 publications

(4 citation statements)

References 1 publication

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“…The HO-PID controller parameters will be derived according to the magnitude optimum multiple integration (MOMI) tuning method, which is based on the magnitude optimum (MO) criteria [31][32][33][34][35][36][37]. The main advantages of the MOMI method are that it combines frequency-domain MO tuning criterion (providing a fast and non-oscillatory closed-loop process output response) with the time-domain method of moments (the calculation of the process characteristic areas directly from the process time responses).…”

Section: Ho-pid Controller Tuningmentioning

confidence: 99%

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High-Order Filtered PID Controller Tuning Based on Magnitude Optimum

Vrančić

Huba

2021

Mathematics

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The paper presents a tuning method for PID controllers with higher-order derivatives and higher-order controller filters (HO-PID), where the controller and filter orders can be arbitrarily chosen by the user. The controller and filter parameters are tuned according to the magnitude optimum criteria and the specified noise gain of the controller. The advantages of the proposed approach are twofold. First, all parameters can be obtained from the process transfer function or from the measured input and output time responses of the process as the steady-state changes. Second, the a priori defined controller noise gain limits the amount of HO-PID output noise. Therefore, the method can be successfully applied in practice. The work shows that the HO-PID controllers can significantly improve the control performance of various process models compared to the standard PID controllers. Of course, the increased efficiency is limited by the selected noise gain. The proposed tuning method is illustrated on several process models and compared with two other tuning methods for higher-order controllers.

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Section: Ho-pid Controller Tuningmentioning

confidence: 99%

“…Since the calculation of the mentioned areas from the process input and output time responses, during arbitrary steady-state change, are already covered in detail in [36], it will not be repeated herein.…”

Section: Ho-pid Controller Tuningmentioning

confidence: 99%

High-Order Filtered PID Controller Tuning Based on Magnitude Optimum

Vrančić

Huba

2021

Mathematics

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“…In this section, we present a method for process identification, based on measured or calculated moments (characteristic areas) of the process [38][39][40]. As mentioned before, the characteristic areas can be calculated from an arbitrary change in the steady-state of the process, in the closed-loop or open-loop configuration (time-domain approach).…”

Section: Characteristic Areas (Process Moments)mentioning

confidence: 99%

“…Another method for process identification in the time-domain is the method of moments [38][39][40]. This method uses successive (multiple) integrations of the input and output time responses of the process [39] to obtain so-called moments or "characteristic areas" of the process.…”

Section: Introductionmentioning

confidence: 99%

A Simple Analytical Method for Estimation of the Five-Parameter Model: Second-Order with Zero Plus Time Delay

Kos

Vrančić

2021

Mathematics

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Process models play an important role in the process industry. They are used for simulation purposes, quality control, fault detection, and control design. Many researchers have been engaged in model identification. However, it is difficult to find an analytical identification method that provides a good model and requires a relatively simple experiment. This is the advantage of the method of moments. In this paper, an analytical method based on the measurement of the process moments (characteristic areas) is proposed, to identify the five-parameter model (second-order process with zero plus time delay) from either the closed-loop or open-loop time responses of the process (in the time-domain), or the general-order transfer function with time delay (in the frequency-domain). The only parameter required by the user is the type of process (minimum phase or non-minimum phase process), which in practice can be easily determined from the time response of the process. The method can also be used to reduce the higher-order process model. The proposed identification method was tested on several illustrative examples, and compared to other identification methods. The comparison with existing methods showed the superiority of the proposed method. Moreover, the tests confirmed that the algorithm of the proposed method works properly for a wide family of process models, even in the presence of moderate process noise.

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Entwurf einschleifiger Regelkreise

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Prozeßmodellfreier PID-Regler- Entwurf nach dem Betragsoptimum / Model-free PID-controller design by means of the method of gain Optimum

Cited by 14 publications

References 1 publication

High-Order Filtered PID Controller Tuning Based on Magnitude Optimum

High-Order Filtered PID Controller Tuning Based on Magnitude Optimum

A Simple Analytical Method for Estimation of the Five-Parameter Model: Second-Order with Zero Plus Time Delay

Entwurf einschleifiger Regelkreise

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