Optimal tuning of fractional PIDCα controller in the frequency domain
Abstract
A new frequency-domain algorithm for optimization of PID regulators having a fractional differential compensator connected in series (PIDCα) has been developed. The adjustable parameters of the regulator are: proportional gain k, integral gain ki, relative attenuation factor of PID zeros ζ, zero of the fractional differential compensator-1/τ and fractional power a of the differential compensator. The optimization procedure is based on maximization of integral or proportional gain, given values of the maximum sensitivity Ms and sensitivity to measurement noise Mn. By solving the optimization procedure one obtains parameters of PIDCα regulator which results in minimum IAE (Integrated Absolute Error). The analysis of optimal PIDCα is performed through a series of simulations for several dynamic processes representative for industrial applications.
Keywords:
Robustness / PID regulator / Optimization / Fractional controlSource:
2014 International Conference on Fractional Differentiation and Its Applications, ICFDA 2014, 2014Publisher:
- Institute of Electrical and Electronics Engineers Inc.
Funding / projects:
- Inteligent SCADA system for early fault detection and error compensation in processes and equipment in process industry (RS-MESTD-Technological Development (TD or TR)-32018)
- Development of intelligent monitoring control system to increase energy efficiency in buildings (RS-MESTD-Technological Development (TD or TR)-33013)
- 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)
Collections
Institution/Community
Mašinski fakultetTY - CONF AU - Sekara, Tomislav B. AU - Rapaić, Milan R. AU - Lazarević, Mihailo PY - 2014 UR - https://machinery.mas.bg.ac.rs/handle/123456789/1948 AB - A new frequency-domain algorithm for optimization of PID regulators having a fractional differential compensator connected in series (PIDCα) has been developed. The adjustable parameters of the regulator are: proportional gain k, integral gain ki, relative attenuation factor of PID zeros ζ, zero of the fractional differential compensator-1/τ and fractional power a of the differential compensator. The optimization procedure is based on maximization of integral or proportional gain, given values of the maximum sensitivity Ms and sensitivity to measurement noise Mn. By solving the optimization procedure one obtains parameters of PIDCα regulator which results in minimum IAE (Integrated Absolute Error). The analysis of optimal PIDCα is performed through a series of simulations for several dynamic processes representative for industrial applications. PB - Institute of Electrical and Electronics Engineers Inc. C3 - 2014 International Conference on Fractional Differentiation and Its Applications, ICFDA 2014 T1 - Optimal tuning of fractional PIDCα controller in the frequency domain DO - 10.1109/ICFDA.2014.6967357 ER -
@conference{ author = "Sekara, Tomislav B. and Rapaić, Milan R. and Lazarević, Mihailo", year = "2014", abstract = "A new frequency-domain algorithm for optimization of PID regulators having a fractional differential compensator connected in series (PIDCα) has been developed. The adjustable parameters of the regulator are: proportional gain k, integral gain ki, relative attenuation factor of PID zeros ζ, zero of the fractional differential compensator-1/τ and fractional power a of the differential compensator. The optimization procedure is based on maximization of integral or proportional gain, given values of the maximum sensitivity Ms and sensitivity to measurement noise Mn. By solving the optimization procedure one obtains parameters of PIDCα regulator which results in minimum IAE (Integrated Absolute Error). The analysis of optimal PIDCα is performed through a series of simulations for several dynamic processes representative for industrial applications.", publisher = "Institute of Electrical and Electronics Engineers Inc.", journal = "2014 International Conference on Fractional Differentiation and Its Applications, ICFDA 2014", title = "Optimal tuning of fractional PIDCα controller in the frequency domain", doi = "10.1109/ICFDA.2014.6967357" }
Sekara, T. B., Rapaić, M. R.,& Lazarević, M.. (2014). Optimal tuning of fractional PIDCα controller in the frequency domain. in 2014 International Conference on Fractional Differentiation and Its Applications, ICFDA 2014 Institute of Electrical and Electronics Engineers Inc... https://doi.org/10.1109/ICFDA.2014.6967357
Sekara TB, Rapaić MR, Lazarević M. Optimal tuning of fractional PIDCα controller in the frequency domain. in 2014 International Conference on Fractional Differentiation and Its Applications, ICFDA 2014. 2014;. doi:10.1109/ICFDA.2014.6967357 .
Sekara, Tomislav B., Rapaić, Milan R., Lazarević, Mihailo, "Optimal tuning of fractional PIDCα controller in the frequency domain" in 2014 International Conference on Fractional Differentiation and Its Applications, ICFDA 2014 (2014), https://doi.org/10.1109/ICFDA.2014.6967357 . .