Analysis of dynamic characteristics of selected pneumatic systems with fractional calculus used in telematics

The section of the paper on simulation studies presents the application of fractional calculus to describe the dynamics of pneumatic systems used in telematics. In the construction of mathematical models of the analyzed dynamic systems, the Riemann-Liouville definition of non-integer order was used. For the analyzed model, transfer function of integer and non-integer order was determined. Functions describing characteristics in time and frequency domains were determined, whereas the characteristics of the analyzed systems were obtained by means of computer simulation. The section of the paper on laboratory research presents the results of the laboratory tests of the injection system of the internal combustion engine with special attention to the verification of simulated tests of selected pneumatic systems described with the use of fractional calculus.