Mathematical model of a pneumatic positioning actuator with a rodless pneumatic cylinder

This paper describes the development of a mathematical model for a positional pneumatic actuator based on a rodless pneumatic cylinder. Creating an energy-efficient positional pneumatic actuator is necessary, since there are a number of tasks in industry in which pneumatic systems must be used. The purpose of the work is to create a mathematical model for faster verification and implementation of the positional actuator in other systems. The main methods for building a mathematical model are to create a diagram consisting of elements that show the relationships between the parts of the actuator, each of the elements is described by equations, as a result, a system of equations is used to implement the mathematical model in the Matlab Simulink environment. The result is a mathematical model of a pneumatic positional actuator, which can be used for preliminary research of various sizes of pneumatic rodless cylinders. The mathematical model shows that depending on the pressure value and the duration of compressed air supply, the piston can stop in certain, non-final, positions. In the future, this model can be used to test positioning algorithms, which will speed up and simplify the creation of systems based on this drive.