A new optimisation method of PIDC controller under constraints on robustness and sensitivity to measurement noise using amplitude optimum principle
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 effectiv...eness of the proposed design method.
Keywords:
robustness / PIDC controller / optimisation / disturbance rejection / amplitude optimumSource:
International Journal of Control, 2021Publisher:
- Taylor & Francis Ltd, Abingdon
Funding / projects:
- Serbia-Italian bilateral project ADFOCMEDER
- Ministry of Science, Technological Development and Innovation of the Republic of Serbia, institutional funding - 200105 (University of Belgrade, Faculty of Mechanical Engineering) (RS-MESTD-inst-2020-200105)
- Intelligent Control Systems of the Air-conditioning for the Purpose of Achieving Energy Efficient Exploitation Regimes in the Complex Operating Conditions (RS-MESTD-Technological Development (TD or TR)-33047)
- Sustainability and improvement of mechanical systems in energetic, material handling and conveying by using forensic engineering, environmental and robust design (RS-MESTD-Technological Development (TD or TR)-35006)
- Development of methods and techniques for early diagnostic of cervical, colon, oral cavity cancer and melanoma based on a digital image and excitation-emission spectrum in visible and infrared domain (RS-MESTD-Integrated and Interdisciplinary Research (IIR or III)-41006)
- Energy efficiency Improvement of Hydro and Thermal power plants in EPS by development and implementation of power electronics based regulation and automation equipment (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
Collections
Institution/Community
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 . .