The complexity of the organization of pneumatic actuator control makes a nonlinear mathematical apparatus that takes into account the thermodynamic processes in the filling and draining of the working cavities of the pneumatic cylinder. The review of existing approaches and methods of pneumatic systems control allows us to draw conclusions about a significant simplification of the mathematical model of the system under study, which leads to a discrepancy between the mathematical model of its technical original and the limited application of the developed control laws.

Keywords: the pneumatic actuator nonlinear mathematical model, synthesis of a synergetic controller, invariant manifold