Improvement of Proportional-Integral-Derivative Control for Time-Delay Nonlinear Systems by a Time-Delay Estimation Method
Abstract
Nonlinearity and other existing uncertainties, such as time delay, are commonly found in systems involving realistic operations. Lately, the time-delay estimation (TDE) mechanism has been gaining popularity in various control theory-related fields concerning the compensation of uncertainties present in control systems. This paper examines the effects of nonlinear backlash-like hysteresis and system time delay using a proportional-integral-derivative (PID) controller, followed by introducing a TDE technique to a PID-controlled time-delay system. Experimental studies using simulation results are performed to validate the effectiveness of the proposed TDE-PID control method by emphasizing the estimation and attenuation of the nonlinearity effect present in a time-delay system. The results indicate an improved and robust transient system response under the impact of uncertainties like hysteresis and system disturbance present in a time-delay system. Further, the proposed TDE-PID control method is analysed for systems with varying time delays, and the simulation results further substantiate that the proposed method is effective. By considering various uncertainties, the proposed method can be used in different industrial applications, such as the frequency and voltage control in power systems.
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The performance of an ADRC controller concerning estimation and attenuation of nonlinear backlash-like hysteresis under time delay and uncertainties is greatly improved in conjunction with TDE mechanisms.
“Moreover, recent research has shown that the performance of an ADRC controller concerning estimation and attenuation of nonlinear backlash-like hysteresis under time delay and uncertainties is greatly improved in conjunction with TDE mechanisms [8,17].”
From A comparative study on time-delay estimation for time-delay nonlinear system control (2025) · cites this paper as [17]
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A comparative study on time-delay estimation for time-delay nonlinear system control
Nahri, S. N. F., Department of Electrical Engineering, F. O. E. A. T. B. E., Du, S., van Wyk, B. J., & Ajayi, O. K. (2025) · AIMS Electronics and Electrical Engineering · doi:10.3934/electreng.2025015 · Cited by 3 · see citing works
Self-citationNahri, S. N. F., Du, S., van Wyk, B. J., Ajayi, O. K., Nyasulu, T. D., & Yu, H. (2025) · IEEE Access · doi:10.1109/access.2025.3645727
Self-citationOptimal Regulation of Time Delayed System using Enhanced Predictive Control
Vennapusa, L. K. R., Kumar, V., Reddy, S. R., Basha, K. A., Surendra, G., & Debnath, M. K. (2025) · International Conference on Power Electronics and Energy (ICPEE) · doi:10.1109/icpee65973.2025.11411450
- Authors
- Fatima Nahri, S. N., Du, S., van Wyk, B. J., Kayode Ajayi, O., Nyasulu, T. D., & Yu, H.
- Affiliations
- Tshwane University of Technology,Department of Electrical Engineering,Pretoria,South Africa
- Tshwane University of Technology (ZA)
- Venue
- 2025 33rd Southern African Universities Power Engineering Conference (SAUPEC)
- Publisher
- IEEE
- Published
- 2025-01-29
- Pages
- 1-6
- OpenAlex
- W4409103300
- Cited by
- 3
- References
- 14
- Citations by year
- 2025: 3
- FWCI
- 6.58
- Type
- conference paper
- Language
- en
- Open access
- closed
- Locations
- Southern African Universities Power Engineering Conference (SAUPEC) (publishedVersion)
- Funders
- National Research Foundation
- Topics
- Physical Sciences › Engineering › Control and Systems Engineering › Advanced Control Systems Design
- Physical Sciences › Engineering › Control and Systems Engineering › Stability and Control of Uncertain Systems
- Physical Sciences › Engineering › Control and Systems Engineering › Adaptive Control of Nonlinear Systems
- Keywords
- time delay estimation, PID control, time-delay systems, time-varying delays, disturbance rejection
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