Kinematic Model for Stabilization and Orientation Control of the Suspended Equipment of an Unmanned Aerial Vehicle

The article is devoted to the development and research of a kinematic model of stabilization and orientation control of the suspended equipment of an unmanned aerial vehicle (UAV). The created model is based on the kinematic model of a three-axis gimbal (TAG): the structure of the TAG for the UAV, the mathematical description of the TAG of the UAV and the derivation of kinematic equations for the problems of stabilizing and controlling the orientation of the UAV suspension equipment. In the general case, the derivation of the kinematic equations of the TAG on the UAV is a complex process and is similar to the derivation of a kinematic model of a robotic arm with six degrees of freedom. The TAG is considered as a manipulative mechanism with six degrees of freedom: three degrees of freedom are determined by the UAV rotations around the axes of the coordinate system attached to the UAV, and three degrees of freedom are set by the frames of the TAG along the channels of yaw, roll and pitch during rotational movements of these frames around the corresponding axes of the coordinate systems attached to the frames of the TAG. Such a statement in the general case does not have an unambiguous solution for the tasks of stabilization and orientation control of the suspended equipment of UAV. To eliminate this ambiguity, optimization is used in the process of designing the TAG and installing the TAG in such positions on the UAV that reduce the computational complexity of the tasks being solved. The kinematic model is presented in the article by kinematic equations, the solution of which ensures the stabilization of the suspended equipment of UAV, and kinematic equations, the solution of which allows you to control the equipment (camera) of the UAV when tracking moving objects (moving targets) in space. The simulation of the TAG in the MATLAB Simulink software environment was performed. The simulation results in the MATLAB Simulink software environment prove the adequacy of the developed kinematic model of the TAG and its effectiveness for solving the problems of stabilization and orientation control of the suspended equipment of UAV.