Mathematical Description of System for Stabilization of Aviation Equipment in Problems of Synthesis and Simulation

This paper deals with developing the mathematical description of the system for stabilization of the aviation equipment. The set of equations describing separate units of the above-mentioned system is proposed. The united model of the stabilization object and motor is represented. The features of mounting the stabilization system with payload on the moving vehicle are described. The nonlinearities inherent in real moving vehicles are taken into consideration. Features of the united model of the electric motor are listed. The elastic connection between the stabilization object and the electric motor and the drive backlashes are taken into consideration in the mathematical model. The influence of the hysteresis in the model of the gyroscopic tachometer is mathematically described. The block diagram of the mathematical model is represented. The control law is proposed. Simulation of transient processes of the control system synthesized using the developed mathematical model has been carried out. The simulation results are represented. The obtained results can be useful for designing stabilization systems of the wide class.