Application of two-step input to reduce overshoot of the transient response at automated control systems
DOI:
https://doi.org/10.31498/2225-6733.48.2024.310687Keywords:
step response, two-step response, ramp response, overshoot, control systemAbstract
The problems of quality improving for technology control are very important and are considered in works on the theory of automatic control and related fields. Various approaches to solving the problems are known especially by the decreasing overshoot of step response. To provide this the most of existing methods require: to adjust a controller parameters; development of a mathematical model of a controlled object; additional filters applications, that as a whole is difficult to implement under industrial conditions. The authors have proposed another approach to solving the above problems, contrary to the known ones. Namely, to apply two successive inputs with lower amplitudes and delay in time instead of the known one step input. The response of the controlled system on the complex two step inputs was considered and the optimal time delay was defined. The investigations were conducted by the modelling a typical classic linear automation control system that consists of a static control object of the first order with time delay, proposal - integration - difference controllers. The modelling results for a transient under the various applied one and two step inputs, including their ramp variation were obtained. It was shown that the two-step inputs with their ramp application gives the decreasing of the maximum displacement for a transient in a typical control system: more than 3 times increase was shown comparing with the one-step approach. The optimal time interval between the steps was determined that leads to the maximum effectiveness of the technology application. The procedure to define the details of the approach application was developed
References
Повышение динамической точности и быстродействия систем традиционной фазовой автоподстройки и систем фазовой автоподстройки частоты : монографія / В. Кривуца та ін. Київ : Ін-т електродинаміки НАН України, 2013. 227 с. URL: https://www.nas.gov.ua/UA/Book/Pages/Default.aspx?BookID=0000007183.
Repnikova N., Berdnyk Y., Hnyp V. Improving control accuracy in multi-connected digital systems. Scientific Horizons. 2022. Vol. 25. No. 7. Pp. 55-64. DOI: https://doi.org/10.48077/scihor.25(7).2022.55-64.
Babu P. S., Xavier N., Bandyopadhyay B. Robust output regulation for state feedback descriptor systems with nonovershooting behavior. European Journal of Control. 2020. Vol. 52. Pp. 19-25. DOI: https://doi.org/10.1016/j.ejcon.2019.08.008.
Schmid R., Ntogramatzidis L. Nonovershooting and nonundershooting exact output regulation. Systems & Control Letters. 2014. Vol. 70. Pp. 30-37. DOI: https://doi.org/10.1016/j.sysconle.2014.05.003.
Lu Y.-S., Li Y.-T., Liu S.-H. Initial-value compensation of a proportional–integral–derivative controller for non-overshooting motion. Proceedings of the Institution of Mechanical Engineers, Part I: Journal of Systems and Control Engineering. 2017. Vol. 231. Iss. 8. Pp. 626-637. DOI: https://doi.org/10.1177/0959651817717854.
Freiheit C., Anand D. M., Ossareh H. R. Overshoot Mitigation Using the Reference Governor Framework. IEEE Control Systems Letters. 2020. Vol. 4. Iss. 2. Pp. 518-523. DOI: https://doi.org/10.1109/lcsys.2020.2966575.
Shamsuzzoha M., Skogestad S. The setpoint overshoot method: A simple and fast closed-loop approach for PID tuning. Journal of Process Control. 2010. Vol. 20. Iss. 10. Pp. 1220-1234. DOI: https://doi.org/10.1016/j.jprocont.2010.08.003.
Vijayan V., Panda R. C. Design of a simple setpoint filter for minimizing overshoot for low order processes. ISA Transactions. 2012. Vol. 51. Iss. 2. Pp. 271-276. DOI: https://doi.org/10.1016/j.isatra.2011.10.006.
Kumar E. G., Gowthaman E. Cascade PID-lead compensator controller for non-overshoot time responses of unstable system. Energy Procedia. 2017. Vol. 117. Pp. 708-715. DOI: https://doi.org/10.1016/j.egypro.2017.05.185.
Begum G., Radhakrishnan T. K. Performance assessment of control loops involving unstable systems for set point tracking and disturbance rejection. Journal of the Taiwan Institute of Chemical Engineers. 2018. Vol. 85. Pp. 1-17. DOI: https://doi.org/10.1016/j.jtice.2018.01.024.
Abdelaty B. G., Ahmed A. H., Ouda A. N. Fixed set point weighting 2DOF PID controller for control processes. Journal of engineering mathematics. 2018. Vol. 2. Iss. 1. Pp. 21-27. DOI: https://doi.org/10.11648/j.engmath.20180201.13.
Luyben W. L. Temperature setpoint-ramp control structure for batch reactors. Chemical Engineering Science. 2019. Vol. 208. 115124. DOI: https://doi.org/10.1016/j.ces.2019.07.042.
Ali A., Majhi S. PI/PID controller design based on IMC and percentage overshoot specification to controller setpoint change. ISA Transactions. 2009. Vol. 48. Iss. 1. Pp. 10-15. DOI: https://doi.org/10.1016/j.isatra.2008.09.002.
Understanding Setpoint Ramping and Ramp/Soak Temperature Control. URL: https://www.west-cs.com/news/understanding-setpoint-ramping-and-rampsoak-temperature-control/ (дата звернення: 08.12.2023).
Койфман O. O., Мірошниченко В. І., Сімкін О. І. Аналітичне дослідження методів іденти-фікації об’єкта керування. MININGMETALTECH 2023 – The mining and metals sector: integra-tion of business, technology and education : Scientific monograph. Riga, Latvia : Baltija Publish-ing, 2023. Pp. 113-147. DOI: https://doi.org/10.30525/978-9934-26-382-8-7.
Downloads
Published
How to Cite
Issue
Section
License
The journal «Reporter of the Priazovskyi State Technical University. Section: Technical sciences» is published under the CC BY license (Attribution License).
This license allows for the distribution, editing, modification, and use of the work as a basis for derivative works, even for commercial purposes, provided that proper attribution is given. It is the most flexible of all available licenses and is recommended for maximum dissemination and use of non-restricted materials.
Authors who publish in this journal agree to the following terms:
1. Authors retain the copyright of their work and grant the journal the right of first publication under the terms of the Creative Commons Attribution License (CC BY). This license allows others to freely distribute the published work, provided that proper attribution is given to the original authors and the first publication of the work in this journal is acknowledged.
2. Authors are allowed to enter into separate, additional agreements for non-exclusive distribution of the work in the same form as published in this journal (e.g., depositing it in an institutional repository or including it in a monograph), provided that a reference to the first publication in this journal is maintained.
