<abstract xmlns="http://www.w3.org/1999/xhtml">

<p>The present paper complements the results of several recent papers on higher-order (HO) controllers with automatic-reset. A modification of the two-step tuning of the constrained second-order derivative controllers based on integrator-plus-dead-time (IPDT) models is proposed. In the first step, the linear controller is designed using the multiple real dominant poles (MRDPs) method to avoid the slowdown of the closed-loop dynamics due to the presence of slow poles. In the second step, the smallest time constant of the numerator of the MRDP-optimal controller transfer function is selected as the automatic-reset time constant. The derived control method was tested on a thermal system for the filament disc dryer to demonstrate the deployment, tuning, use and impact of controllers with increasing derivative degree in practical applications. It is shown that the use of HO controllers is similar to the traditional hyper-reset controllers (i.e. series proportional-integral-derivative [PID] controllers) from the user’s point of view. However, the advantages are faster transient responses while maintaining sufficiently smooth input and output shapes of the process with a minimum number of monotonic intervals. The overall design can be seen as a generalisation and discretisation of the Ziegler and Nichols graphical tuning method. One of the main new features is the consideration of a constrained control signal, as is typical for a pulse width modulated (PWM) actuator. Such actuators are often used in speed-controlled electric drives and in power electronics, among other applications.</p>
</abstract>

The present paper complements the results of several recent papers on higher-order (HO) controllers with automatic-reset. A modification of the two-step tuning of the constrained second-order derivative controllers based on integrator-plus-dead-time (IPDT) models is proposed. In the first step, the linear controller is designed using the multiple real dominant poles (MRDPs) method to avoid the slowdown of the closed-loop dynamics due to the presence of slow poles. In the second step, the smallest time constant of the numerator of the MRDP-optimal controller transfer function is selected as the automatic-reset time constant. The derived control method was tested on a thermal system for the filament disc dryer to demonstrate the deployment, tuning, use and impact of controllers with increasing derivative degree in practical applications. It is shown that the use of HO controllers is similar to the traditional hyper-reset controllers (i.e. series proportional-integral-derivative [PID] controllers) from the user’s point of view. However, the advantages are faster transient responses while maintaining sufficiently smooth input and output shapes of the process with a minimum number of monotonic intervals. The overall design can be seen as a generalisation and discretisation of the Ziegler and Nichols graphical tuning method. One of the main new features is the consideration of a constrained control signal, as is typical for a pulse width modulated (PWM) actuator. Such actuators are often used in speed-controlled electric drives and in power electronics, among other applications.

Constrained Series PI, PID and PIDA Controller Design Inspired by Ziegler–Nichols

Slovak University of Technology in Bratislava, Institute of Automotive Mechatronics

Power Electronics and Drives

This work is licensed under the Creative Commons Attribution 4.0 International License.

The present paper complements the results of several recent papers on higher-order (HO) controllers with automatic-reset. A modification of the two-step tuning...

Constrained Series PI, PID and PIDA Controller Design Inspired by Ziegler–Nichols

Published Online: Jun 29, 2024

Page range: 331 - 346

Received: Dec 30, 2023

Accepted: May 22, 2024

DOI: https://doi.org/10.2478/pead-2024-0021

Keywords
performance portrait, multiple real dominant pole, constrained control, series PI, PID and PIDA controller

© 2024 Mikulas Huba et al., published by Sciendo

This work is licensed under the Creative Commons Attribution 4.0 International License.

Constrained Series PI, PID and PIDA Controller Design Inspired by Ziegler–Nichols

Published Online: Jun 29, 2024

Page range: 331 - 346

Received: Dec 30, 2023

Accepted: May 22, 2024

DOI: https://doi.org/10.2478/pead-2024-0021

Keywordsperformance portrait, multiple real dominant pole, constrained control, series PI, PID and PIDA controller

© 2024 Mikulas Huba et al., published by Sciendo

This work is licensed under the Creative Commons Attribution 4.0 International License.

Keywords
performance portrait, multiple real dominant pole, constrained control, series PI, PID and PIDA controller