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Received July 17, 2022
Revised October 26, 2022
Accepted November 23, 2022
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New non-interactive form of the proportional-integral-derivative-acceleration (PIDA) controller and its explicit tuning rule
1Department of Chemical Engineering, Kyungpook National University, Daegu 41566, Korea 2Department of Chemical Engineering, Sunchon National University, 225 Jungang-ro, Suncheon, Jeollanam-do 57922, Korea
khryu@scnu.ac.kr, suwhansung@knu.ac.kr
Korean Journal of Chemical Engineering, June 2023, 40(6), 1277-1283(7), 10.1007/s11814-022-1356-0
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Abstract
The physical meaning of the derivative and the acceleration term of the proportional-integral-derivativeacceleration (PIDA) controller was analyzed, and a new non-interactive form of the PIDA controller is proposed. Also,
a new tuning rule for the PIDA controller was developed by combining the physical meaning of the two derivative
terms with the previous integral of the time-weighted absolute value of the error (ITAE) tuning rule for the PID controller. The proposed tuning rule, composed of simple explicit algebraic equations, provides excellent performance for
various processes without using any optimization methods and iterative computation
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3. L. Fan and E. M. Joo, Design for auto-tuning PID controller based on genetic algorithms, in: 2009 4th IEEE Conf. Ind. Electron. Appl.,
IEEE, 1924 (2009).
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5. D. C. Meena and A. Devanshu, Genetic algorithm tuned PID controller for process control, in: 2017 Int. Conf. Inven. Syst. Control,IEEE, 1 (2017).
6. N. J. Killingsworth and M. Krstic, IEEE Control Syst. Mag., 26, 70(2006).
7. M. I. Solihin, L. F. Tack and M. L. Kean, Tuning of PID controller using particle swarm optimization (PSO), in: Proceeding Int. Conf.
Adv. Sci. Eng. Inf. Technol., 458 (2011).
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11. S. W. Sung, I.-B. Lee, J. Lee and S.-H. Yi, J. Chem. Eng. Jpn., 29, 990(1996).
12. S. W. Sung and I.-B. Lee, Ind. Eng. Chem. Res., 35, 2596 (1996).
13. S. Skogestad, J. Process Control., 13, 291 (2003).
14. C. K. Yoo, H. J. Kwak and I.-B. Lee, Chem. Eng. Res. Des., 79, 754(2001)
15. S. Jung and R. C. Dorf, Analytic PIDA controller design technique for a third order system, in: Proc. 35th IEEE Conf. Decis. Control,IEEE, 2513 (1996).
16. S. Buakaew, W. Narksarp, C. Wongtaychatham and W. Sangpisit,PIDA controller realized on commercial IC current feedback operational amplifiers, in: Proc. Int. MultiConference Eng. Comput. Sci.(2017).
17. M. Kumar and Y. V. Hote, Robust IMC-PIDA controller design for load frequency control of a time delayed power system, in: 2019 IEEE 58th Conf. Decis. Control, IEEE, 8380 (2019).
18. D. Puangdownreong, ICA, 3, 303 (2012).
19. D. K. Sambariya and D. Paliwal, Optimal design of PIDA controller using harmony search algorithm for AVR power system, in: 2016 IEEE 6th Int. Conf. Power Syst., IEEE, 1 (2016).
20. M. Huba and D. Vrančič, IFAC-PapersOnLine, 51, 954 (2018).
21. M. A. Sahib, Eng. Sci. Technol. an Int. J., 18, 194 (2015).
22. D. K. Sambariya and D. Paliwal, Optimal design of PIDA controller using firefly algorithm for AVR power system, in: 2016 Int. Conf.Comput. Commun. Autom., IEEE, 987 (2016).
23. K. Donuk, N. Özbey, M. İnan, C. Yeroğlu and D. Hanbay, Investigation of PIDA controller parameters via PSO algorithm, in: 2018 Int. Conf. Artif. Intell. Data Process., IEEE, 1 (2018).
24. A. M. Mosaad, M. A. Attia and A. Y. Abdelaziz, Ain Shams Eng. J.,10, 755 (2019).
25. A. Sharma, H. Sharma, A. Bhargava and N. Sharma, Int. J. Metaheuristics, 5, 278 (2016)
