| 一级倒立摆系统的数学建模方法研究 |
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| 引用本文： | 刘凯.一级倒立摆系统的数学建模方法研究[J].机械工程师,2012(5):21-23. |
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| 作者姓名： | 刘凯 |
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| 作者单位： | 渤海船舶职业学院,辽宁 葫芦岛,125005 |
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| 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。
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| 关 键 词： | 倒立摆 牛顿力学 Lagrange力学 数学建模 |
Mathematical Modeling Methods Study of Single Inverted-pendulum System |
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| LIU Kai.Mathematical Modeling Methods Study of Single Inverted-pendulum System[J].Mechanical Engineer,2012(5):21-23. |
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| Authors: | LIU Kai |
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| Affiliation: | LIU Kai (Bohai Shipbuilding Vocation College, Huludao 125005, China) |
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| Abstract: | 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. |
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| Keywords: | inverted pendulum Newtonian mechanics Lagrange mechanics mathematical modeling |
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