Title :
Research of Car Inverted Pendulum Model Based on Lagrange Equation
Author :
Zhang, Lijuan ; Tu, Yaqing
Author_Institution :
Dept. of Inf. Eng., Logistical Eng. Univ., Chongqing
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
Keywords :
differential equations; mechanics; nonlinear control systems; vehicles; Lagrange equation; analytical mechanics; car inverted pendulum model; differential equation; general kinetic energy; general potential energy; mathematics tool; Control systems; Control theory; Equations; Intelligent control; Kinetic energy; Lagrangian functions; Mathematical model; Mathematics; Potential energy; Power engineering and energy; Lagrange equation; car inverted pendulum; mathematic model;
Conference_Titel :
Intelligent Control and Automation, 2006. WCICA 2006. The Sixth World Congress on
Conference_Location :
Dalian
Print_ISBN :
1-4244-0332-4
DOI :
10.1109/WCICA.2006.1712457
