Abstract
A new fractional-order proportional-integral controller embedded in a Smith predictor is systematically proposed based on fractional calculus and Bode’s ideal transfer function. The analytical tuning rules are first derived by using the frequency domain for a first-order-plus-dead-time process model, and then are easily applied to various dynamics, including both the integer-order and fractional-order dynamic processes. The proposed method consistently affords superior closed-loop performance for both servo and regulatory problems, since the design scheme is simple, straightforward, and can be easily implemented in the process industry. A variety of examples are employed to illustrate the simplicity, flexibility, and effectiveness of the proposed SP-FOPI controller in comparison with other reported controllers in terms of minimum the integral absolute error with a constraint on the maximum sensitivity value.
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Vu, T.N.L., Lee, M. Smith predictor based fractional-order PI control for time-delay processes. Korean J. Chem. Eng. 31, 1321–1329 (2014). https://doi.org/10.1007/s11814-014-0076-5
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DOI: https://doi.org/10.1007/s11814-014-0076-5