Simulating linear systems in the MatLab software package using the structural blocks of the Simulink application

Abstract

The paper considers the peculiarities of linear system simulation in the MatLab software package using the structural blocks of the Simulink application. Typical links of linear systems and their transfer functions are described. The simulation process is exemplified by the system of the object control by its rotation angle. A structural diagram is built for such a system, the mathematical model of which is made in the form of an aperiodic link of the first order. The parameters of the controllers forming the control signal are calculated. A detailed description of the model construction is provided in the Simulink application of the MatLab software package. As a result of simulation, the authors obtained the graphs during the study of the object control system: 1) under external impact without changing controller parameters; 2) under external impact when using a PID controller. The final model was built; it allows comparing the curves of the object rotation control signal in the system with the PD controller and the PID controller as well as displaying the transient curves of the object rotation angle.