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In the last decades, there is a boom of fractional calculus (FC) applications in many technical areas including process control. The multiple fractional-order pole models (MFPM) were proven as suitable for modeling processes that are essentially monotone from their physical nature (holds true for a big percentage of chemical processes). Due to implementation aspects, the time-domain real-time simulation of MFPM is a challenging problem. For this purpose, often a high order zero/pole transfer function is employed. This paper describes a novel multiple fractional pole simulator based on exact step response discretization. The proposed technique decreases computational burden and the resulting simulator can be deployed even to real-time embedded devices. The advantages of SW tools developed are demonstrated on various examples including predictive control feedback loop simulation.

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Fractional-order process simulator based on exact step response discretization∗∗This work was supported by the Technology Agency of the Czech Republic - project No. TA02010152 and by the European Regional Development Fund (ERDF), project NTIS - New Technologies for Information Society, European Centre of Excellence, CZ.1.05/1.1.00/02.0090. The support is gratefully acknowledged.