Mathematical Modelling of Hover Board

Abstract

A self-balancing scooterate (also"hoverboard", self-balancingsystem on board)is a self-balancing transport system consisting of motorized wheels have pad on which the rider places her or his feet and stands on pad to drive. The driver or a person controls the velocity of Hoverboard by leaning forwards or backwards, and provide direction with a steering command. The study of balancing of a person on Hoverboard can be explained with the help of a complex computer algorithm that stabilizes the under-actuated system. The methodology or The Concepts used for controlling the Hover board mechanism through mathematical modelling can be studied by explaining through kinematic model, the dynamic model (using Lagrange approach) that are presented to control the Two-Wheel personal Balancing Transporter (TWPBT) as follows.