PID Regulated Balancing Cube
Abstract: In this project a cube was constructed with the intent for it to balance on one of its edges by regulating the speed of a reaction wheel. To be able to do this, a research was done to understand the mechanics of the system and to know what components were required for the project. A brushed DC motor was used with one reaction wheel on each end of its shaft, using the moment of inertia to convert the torque from the motor to an angular acceleration of the cube. A control system was implemented to regulate the speed of the motor depending on the angular offset of the cube. This control system was chosen to be a proportional–integral–derivative (PID) controller, and a number of different tuning methods were used to determine the parameters of said controller to create a stable system. Despite the different methods used, the cube did not successfully balance for a longer period of time.
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