Fractional Regulating Implementation in Digital Control Systems

The paper presents several recurrent algorithms that provide the implementation of fractional proportional-integral-differential controllers in digital control systems. The main attention is given to the study of the algorithm parameters’ role and influence. To illustrate the algorithms’ performance there are presented the dependencies of accuracy from the parameters for various methods of approximation. The benefits of the proposed algorithms include improving the operational and technical characteristics of a control system being applied in various problem domains, including production and transport industries. In general, the proposed approach allows improving the stability and quality of transient processes. Further development consists in combining different numerical methods to implement a fractional proportional-integral-differential controller. An example of the use of the proposed algorithms in practice is given for a control system of a gas-diesel locomotive internal combustion engine, which illustrates the benefits of the proposed approach. Modernization of the control system allows reducing fuel consumption and increasing the safety of the locomotive gas-diesel internal combustion engine.