Dominant pole placement with fractional order PID controllers: D-decomposition approach
Abstract
Dominant pole placement is a useful technique designed to deal with the problem of controlling a high order or time-delay systems with low order controller such as the PID"controller. This paper tries to solve this problem by using D-decomposition method. Straightforward analytic procedure makes this method extremely powerful and easy to apply. This technique is applicable to a wide range of transfer functions: with or without time-delay, rational and non-rational ones, and those describing distributed parameter systems. In order to control as many different processes as possible, a fractional order PID controller is introduced, as a generalization of classical PID controller. As a consequence, it provides additional parameters for better adjusting system performances. The design method presented in this paper tunes the parameters of PID and fractional PID controller in order to obtain good load disturbance response with a constraint on the maximum sensitivity and sensitivity to noise ...measurement. Good set point response is also one of the design goals of this technique. Numerous examples taken from the process industry are given, and D-decomposition approach is compared with other PID optimization methods to show its effectiveness.
Keywords:
PID control / fractiorial order PID controller / Dominant pole placement / D-decompositionSource:
Isa Transactions, 2017, 67, 76-86Publisher:
- Elsevier Science Inc, New York
Funding / projects:
- 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)
- 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: 10.1016/j.isatra.2016.11.013
ISSN: 0019-0578
PubMed: 27939223
WoS: 000397355900008
Scopus: 2-s2.0-85007579405
Collections
Institution/Community
Mašinski fakultetTY - JOUR AU - Mandić, Petar AU - Sekara, Tomislav B. AU - Lazarević, Mihailo AU - Bošković, Marko C. PY - 2017 UR - https://machinery.mas.bg.ac.rs/handle/123456789/2544 AB - Dominant pole placement is a useful technique designed to deal with the problem of controlling a high order or time-delay systems with low order controller such as the PID"controller. This paper tries to solve this problem by using D-decomposition method. Straightforward analytic procedure makes this method extremely powerful and easy to apply. This technique is applicable to a wide range of transfer functions: with or without time-delay, rational and non-rational ones, and those describing distributed parameter systems. In order to control as many different processes as possible, a fractional order PID controller is introduced, as a generalization of classical PID controller. As a consequence, it provides additional parameters for better adjusting system performances. The design method presented in this paper tunes the parameters of PID and fractional PID controller in order to obtain good load disturbance response with a constraint on the maximum sensitivity and sensitivity to noise measurement. Good set point response is also one of the design goals of this technique. Numerous examples taken from the process industry are given, and D-decomposition approach is compared with other PID optimization methods to show its effectiveness. PB - Elsevier Science Inc, New York T2 - Isa Transactions T1 - Dominant pole placement with fractional order PID controllers: D-decomposition approach EP - 86 SP - 76 VL - 67 DO - 10.1016/j.isatra.2016.11.013 ER -
@article{ author = "Mandić, Petar and Sekara, Tomislav B. and Lazarević, Mihailo and Bošković, Marko C.", year = "2017", abstract = "Dominant pole placement is a useful technique designed to deal with the problem of controlling a high order or time-delay systems with low order controller such as the PID"controller. This paper tries to solve this problem by using D-decomposition method. Straightforward analytic procedure makes this method extremely powerful and easy to apply. This technique is applicable to a wide range of transfer functions: with or without time-delay, rational and non-rational ones, and those describing distributed parameter systems. In order to control as many different processes as possible, a fractional order PID controller is introduced, as a generalization of classical PID controller. As a consequence, it provides additional parameters for better adjusting system performances. The design method presented in this paper tunes the parameters of PID and fractional PID controller in order to obtain good load disturbance response with a constraint on the maximum sensitivity and sensitivity to noise measurement. Good set point response is also one of the design goals of this technique. Numerous examples taken from the process industry are given, and D-decomposition approach is compared with other PID optimization methods to show its effectiveness.", publisher = "Elsevier Science Inc, New York", journal = "Isa Transactions", title = "Dominant pole placement with fractional order PID controllers: D-decomposition approach", pages = "86-76", volume = "67", doi = "10.1016/j.isatra.2016.11.013" }
Mandić, P., Sekara, T. B., Lazarević, M.,& Bošković, M. C.. (2017). Dominant pole placement with fractional order PID controllers: D-decomposition approach. in Isa Transactions Elsevier Science Inc, New York., 67, 76-86. https://doi.org/10.1016/j.isatra.2016.11.013
Mandić P, Sekara TB, Lazarević M, Bošković MC. Dominant pole placement with fractional order PID controllers: D-decomposition approach. in Isa Transactions. 2017;67:76-86. doi:10.1016/j.isatra.2016.11.013 .
Mandić, Petar, Sekara, Tomislav B., Lazarević, Mihailo, Bošković, Marko C., "Dominant pole placement with fractional order PID controllers: D-decomposition approach" in Isa Transactions, 67 (2017):76-86, https://doi.org/10.1016/j.isatra.2016.11.013 . .