Research of Car Inverted Pendulum Model Based on Lagrange Equation

Abstract

This paper analysed the movement of single, double and triple car inverted pendulum. It gives out the expression of general kinetic energy and general potential energy of N level car inverted pendulum in detail. In the end, it reaches the general model of car N level inverted pendulum system. Lagrange equation based on analytical mechanics focus on derivation with mathematics tools and has more superiority than vector mechanics