Design and tuning of fractional-order multiloop PID controllers

Edet, Emmanuel and Katebi, Reza; (2016) Design and tuning of fractional-order multiloop PID controllers. In: 2016 UKACC 11th International Conference on Control (CONTROL). IEEE, GBR. ISBN 978-1-4673-9891-6 (https://doi.org/10.1109/CONTROL.2016.7737589)

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Abstract

Frequency domain based design methods are investigated for the design and tuning of fractional-order PID for time-delayed processes. Since Ziegler-Nichol's tuning rule and other algorithms cannot be applied directly to tuning of fractional-order controllers, a new algorithm is developed to handle the tuning of these fractional-order PID controllers based on a single frequency point test just like Ziegler-Nichol's rule for conventional PID controllers. Critical frequency point of the system is located on Nyquist diagram and controller parameters are calculated from these critical frequency measurements to meet control design specifications. Thereafter, fractional order controller is obtained to meet a specified robustness criterion. This yields simple tuning formulas for fractional order PIDs without the need for offline parameter optimization. The proposed method is extended to multivariable systems using sequential loop closing technique. Extended simulation studies show that good compromise between performance and robustness for both scalar and multivariable process control design can be achieved.

ORCID iDs

Edet, Emmanuel ORCID logoORCID: https://orcid.org/0000-0002-4439-1635 and Katebi, Reza ORCID logoORCID: https://orcid.org/0000-0003-2729-0688;