A new optimisation method of PIDC controller under constraints on robustness and sensitivity to measurement noise using amplitude optimum principle
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2021
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This paper presents a new optimisation method for PID controller cascaded with a lead-lag compensator (PIDC). Parameters of the controller are obtained by solving the constrained optimisation problem. We propose two variants of the optimality criterion. The first one is defined through the max-min optimisation problem wherein objective function is the amplitude frequency response of the PIDC controller. The second one is based on an effective approximation of the minimum value of the amplitude frequency response of the PIDC controller. Consequently, we obtain a computationally less expensive problem. Both variants of optimality criterion result in efficient load disturbance and noise rejection, while robustness is ensured by constraining the value of the maximum sensitivity Ms. Good reference shaping is supported with proper constraints based on the Amplitude Optimum (AO) principle. Numerous batches of processes typically encountered in the industry are used to demonstrate the effectiv...eness of the proposed design method.
Ključne reči:
robustness / PIDC controller / optimisation / disturbance rejection / amplitude optimumIzvor:
International Journal of Control, 2021Izdavač:
- Taylor & Francis Ltd, Abingdon
Finansiranje / projekti:
- Serbia-Italian bilateral project ADFOCMEDER
- Ministarstvo nauke, tehnološkog razvoja i inovacija Republike Srbije, institucionalno finansiranje - 200105 (Univerzitet u Beogradu, Mašinski fakultet) (RS-MESTD-inst-2020-200105)
- Inteligentni sistemi upravljanja klimatizacije u cilju postizanja energetski efikasnih režima u složenim uslovima eksploatacije (RS-MESTD-Technological Development (TD or TR)-33047)
- Održivost i unapređenje mašinskih sistema u energetici i transportu primenom forenzičkog inženjerstva, eko i robust dizajna (RS-MESTD-Technological Development (TD or TR)-35006)
- Razvoj novih metoda i tehnika za ranu dijagnostiku kancera grlića materice, debelog creva, usne duplje i melanoma na bazi digitalne slike i ekscitaciono-emisionih spektara u vidljivom i infracrvenom domenu (RS-MESTD-Integrated and Interdisciplinary Research (IIR or III)-41006)
- Povećanje energetske efikasnosti HE i TE EPS-a razvojem tehnologije i uređaja energetske elektronike za regulaciju i automatizaciju (RS-MESTD-Technological Development (TD or TR)-33020)
DOI: 10.1080/00207179.2021.1912392
ISSN: 0020-7179; eISSN 1366-5820
WoS: 000642546700001
Scopus: 2-s2.0-85104787675
Kolekcije
Institucija/grupa
Mašinski fakultetTY - JOUR AU - Mandić, Petar AU - Bošković, Marko C. AU - Sekara, Tomislav B. AU - Lazarević, Mihailo PY - 2021 UR - https://machinery.mas.bg.ac.rs/handle/123456789/90 AB - This paper presents a new optimisation method for PID controller cascaded with a lead-lag compensator (PIDC). Parameters of the controller are obtained by solving the constrained optimisation problem. We propose two variants of the optimality criterion. The first one is defined through the max-min optimisation problem wherein objective function is the amplitude frequency response of the PIDC controller. The second one is based on an effective approximation of the minimum value of the amplitude frequency response of the PIDC controller. Consequently, we obtain a computationally less expensive problem. Both variants of optimality criterion result in efficient load disturbance and noise rejection, while robustness is ensured by constraining the value of the maximum sensitivity Ms. Good reference shaping is supported with proper constraints based on the Amplitude Optimum (AO) principle. Numerous batches of processes typically encountered in the industry are used to demonstrate the effectiveness of the proposed design method. PB - Taylor & Francis Ltd, Abingdon T2 - International Journal of Control T1 - A new optimisation method of PIDC controller under constraints on robustness and sensitivity to measurement noise using amplitude optimum principle DO - 10.1080/00207179.2021.1912392 ER -
@article{ author = "Mandić, Petar and Bošković, Marko C. and Sekara, Tomislav B. and Lazarević, Mihailo", year = "2021", abstract = "This paper presents a new optimisation method for PID controller cascaded with a lead-lag compensator (PIDC). Parameters of the controller are obtained by solving the constrained optimisation problem. We propose two variants of the optimality criterion. The first one is defined through the max-min optimisation problem wherein objective function is the amplitude frequency response of the PIDC controller. The second one is based on an effective approximation of the minimum value of the amplitude frequency response of the PIDC controller. Consequently, we obtain a computationally less expensive problem. Both variants of optimality criterion result in efficient load disturbance and noise rejection, while robustness is ensured by constraining the value of the maximum sensitivity Ms. Good reference shaping is supported with proper constraints based on the Amplitude Optimum (AO) principle. Numerous batches of processes typically encountered in the industry are used to demonstrate the effectiveness of the proposed design method.", publisher = "Taylor & Francis Ltd, Abingdon", journal = "International Journal of Control", title = "A new optimisation method of PIDC controller under constraints on robustness and sensitivity to measurement noise using amplitude optimum principle", doi = "10.1080/00207179.2021.1912392" }
Mandić, P., Bošković, M. C., Sekara, T. B.,& Lazarević, M.. (2021). A new optimisation method of PIDC controller under constraints on robustness and sensitivity to measurement noise using amplitude optimum principle. in International Journal of Control Taylor & Francis Ltd, Abingdon.. https://doi.org/10.1080/00207179.2021.1912392
Mandić P, Bošković MC, Sekara TB, Lazarević M. A new optimisation method of PIDC controller under constraints on robustness and sensitivity to measurement noise using amplitude optimum principle. in International Journal of Control. 2021;. doi:10.1080/00207179.2021.1912392 .
Mandić, Petar, Bošković, Marko C., Sekara, Tomislav B., Lazarević, Mihailo, "A new optimisation method of PIDC controller under constraints on robustness and sensitivity to measurement noise using amplitude optimum principle" in International Journal of Control (2021), https://doi.org/10.1080/00207179.2021.1912392 . .