Advances in Proportional-Integral-Derivative-Based Control of Dynamic Systems: Theory and Applications

A special issue of Mathematics (ISSN 2227-7390).

Deadline for manuscript submissions: 31 August 2025 | Viewed by 1011

Special Issue Editors


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Guest Editor
Department of Systems and Control, J. Stefan Institute, SI-1000 Ljubljana, Slovenia
Interests: PID control; anti-windup protection; process identification; electronics design
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Guest Editor
INESC-TEC, University of Trás-os-Montes e Alto Douro, 5001-911 Vila Real, Portugal
Interests: PID control; intelligent control; control engineering education; evolutionary and natural inspired metaheuristics for single and multiple objective optimisation problem solving
Special Issues, Collections and Topics in MDPI journals

Special Issue Information

Dear Colleagues,

Proportional-integral-derivative (PID) controllers are among the most commonly used controllers in industry. They play a crucial role in maintaining control efficiency and stability in various industrial processes. Some of the key benefits of PID controllers are their versatility, adaptability, ease of implementation and robust performance. This makes them indispensable tools for maintaining control and stability in various industrial processes. Although the first industrial automatic and hyper reset controllers date back to the 1940s, the development of controller tuning methods and the modification of control algorithms and structures has not stood still. On the contrary, the number of studies is constantly increasing. The Special Issue deals with new tuning methods for constrained PID controllers and other control algorithms with comparable computational complexity.

Dr. Damir Vrančić
Dr. Paulo Moura Oliveira
Guest Editors

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Keywords

  • proportional-integral-derivative (PID) control
  • automatic reset
  • hyper reset
  • constrained control
  • controller tuning
  • optimal control, time-delay control
  • discrete control implementation

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Published Papers (1 paper)

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Research

27 pages, 7192 KiB  
Article
A New Closed-Loop Control Paradigm Based on Process Moments
by Damir Vrančić, Pavol Bisták, Mikuláš Huba and Paulo Moura Oliveira
Mathematics 2025, 13(2), 244; https://doi.org/10.3390/math13020244 - 13 Jan 2025
Viewed by 548
Abstract
The paper presents a new control concept based on the process moment instead of the process states or the process output signal. The control scheme is based on separate control of reference tracking and disturbance rejection. The tracking control is achieved by additionally [...] Read more.
The paper presents a new control concept based on the process moment instead of the process states or the process output signal. The control scheme is based on separate control of reference tracking and disturbance rejection. The tracking control is achieved by additionally feeding the input of the process model by the scaled output signal of the process model. The advantage of such feedback is that the final state of the process output can be analytically calculated and used for control instead of the actual process output value. The disturbance rejection, including model imperfections, is controlled by feeding back the filtered difference between the process output and the model output to the process input. The performance of tracking and disturbance rejection is simply controlled by two user-defined gains. Several examples have shown that the new control method provides very good and stable tracking and disturbance rejection performance. Full article
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