Theoretical and Natural Science

- The Open Access Proceedings Series for Conferences


Theoretical and Natural Science

Vol. 26, 20 December 2023


Open Access | Article

Performance analysis of proportional feedback control and integral control in DC motors and speed control

Junyu Long * 1
1 Southwest Jiaotong University

* Author to whom correspondence should be addressed.

Theoretical and Natural Science, Vol. 26, 81-88
Published 20 December 2023. © 2023 The Author(s). Published by EWA Publishing
This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Citation Junyu Long. Performance analysis of proportional feedback control and integral control in DC motors and speed control. TNS (2023) Vol. 26: 81-88. DOI: 10.54254/2753-8818/26/20241023.

Abstract

Control systems play a crucial role in modern engineering and technology, and their stability and performance are vital for the success of various applications. This paper aims to explore the application and performance analysis of proportional feedback control (P control) in DC motors and integral control (PI control) in speed control. The following section provides an exposition of the fundamental principles underpinning P control and PI control, alongside an exhaustive account of their practical implementations within the Tinkercad and Octave software environments. The simulations carried out in Tinkercad serve as the basis for evaluating step responses associated with varying values, leveraging a 1Hz function generator. Subsequent analysis pertains to proportional-integral control through the utilization of Octave's PZmap and root locus methodologies, with specific regard to their implications for system stability and control performance in the context of speed control. The experimental outcomes reveal the aptitude of P control in scenarios demanding rapid responses, while establishing the superiority of PI control in the context of steady-state error mitigation. In the experimental analysis conducted, an evident trend emerged as Kp values were systematically increased within the framework of proportional feedback control. The primary observation related to the reduction in system response times, along with the concurrent rise in overshooting tendencies.

Keywords

Control Systems, Simulation Analysis, PID Control, Real-world Application

References

1. K.J. Åström, T. Hägglund, The future of PID control, Control Engineering Practice, Volume 9, Issue 11, 2001, Pages 1163-1175, ISSN 0967-0661.

2. Z.Shafiei, A.T. Shenton, Tuning of PID-type controllers for stable and unstable systems with time delay, Automatica, Volume 30, Issue 10, 1994, Pages 1609-1615, ISSN 0005-1098.

3. Ziegler, J. G. and N. B. Nichols (1942). Optimum setting for automatic controllers. Trans. ASME, 64, 759-768.

4. Anon, A. (1999). Special edition on PID tuning methods. Computing & Control Engineering Journal, 10(2).

5. Ho, M. T., Datta, A., & Bhattacharyya, S. P. (1996). A new approach to feedback stabilization. In Proceedings of the 35th IEEE conference on decision and control, IEEE, vol. 4 (pp. 4643–4648).

6. Munro, N., Söylemez, M. T., & Baki, H. (1999). Computation of D-stabilizing low-order compensators. IEEE Trans. on Automatic Control, Submitted for publication.

7. Söylemez, M. T., Munro, N., Baki, H. (1999). Fast calculation of stabilizing PID controllers. Automatica, submitted for publication.

8. Clark, D. W. (1986). Automatic tuning of PID regulators, in Expert Systems and Optimisation in Process Control, pp. 85-104. Technical Press.

9. Panagopoulos, H. (2000). PID control design, extension, application. Ph.D. thesis, Department of Automatic Control, Lund Institute of Technology, Lund, Sweden.

10. Wallen, A. (2000). Tools for autonomous process control. Ph.D. thesis, Department of Automatic Control, Lund Institute of Technology, Lund, Sweden.

11. Hao Yuan, et al., 2021. A fuzzy logic PI control with feedforward compensation for hydrogen pressure in vehicular fuel cell system, International Journal of Hydrogen Energy, Volume 46, Issue 7, Pages 5714-5728, ISSN 0360-3199.

12. Y. Li et al., 2021 "Electrochemical Model-Based Fast Charging: Physical Constraint-Triggered PI Control," in IEEE Transactions on Energy Conversion, vol. 36, no. 4, pp. 3208-3220.

13. Z. Li and S. Li, "Saturated PI Control for Nonlinear System With Provable Convergence: An Optimization Perspective," in IEEE Transactions on Circuits and Systems II: Express Briefs, vol. 68, no. 2, pp. 742-746, Feb. 2021, doi: 10.1109/TCSII.2020.3007879.

Data Availability

The datasets used and/or analyzed during the current study will be available from the authors upon reasonable request.

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Volume Title
Proceedings of the 3rd International Conference on Computing Innovation and Applied Physics
ISBN (Print)
978-1-83558-235-0
ISBN (Online)
978-1-83558-236-7
Published Date
20 December 2023
Series
Theoretical and Natural Science
ISSN (Print)
2753-8818
ISSN (Online)
2753-8826
DOI
10.54254/2753-8818/26/20241023
Copyright
20 December 2023
Open Access
This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited

Copyright © 2023 EWA Publishing. Unless Otherwise Stated