摘要
应用牛顿力学和Lagrange力学,对一级倒立摆系统进行数学建模,得出一致的状态空间方程,保证了结论的正确性。通过分析得知,采用Lagrange力学比牛顿力学分析方法更清晰、简单。其结果对倒立摆和其他类似非线性系统稳定性的研究具有理论指导作用。
The mathematical model of a single inverted pendulum is built by using the Newton mechanics and Lagrange mechanics, consistent state space equation is obtained to ensure the correctness of the conclusions. The analysis shows that： the use of Lagrange Mechanics than Newtonian mechanics analysis method is more clear, simple. The results have theoretical guiding significance for the inverted pendulum and other similar non-linear system stability research.
出处
《机械工程师》
2012年第5期21-23,共3页
Mechanical Engineer
关键词
倒立摆
牛顿力学
Lagrange力学
数学建模
inverted pendulum
Newtonian mechanics
Lagrange mechanics
mathematical modeling
