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倒立摆系统数学建模与PID控制器实现
引用本文:杜岗,徐静.倒立摆系统数学建模与PID控制器实现[J].连云港职业技术学院学报,2013,26(2):19-23.
作者姓名:杜岗  徐静
作者单位:连云港职业技术学院,江苏连云港,222006
摘    要:针对多变量、非线性、强耦舍性的倒立摆系统,采用牛顿一欧拉法建立了其动力学方程,并进行了线性化处理,得到了状态空间模型,从而设计出一种传统PID控制方案,实现了对摆杆的稳定控制。最后在MATLAB环境下进行了计算机仿真,仿真结果表明,摆杆角度控制过程具有良好的动态性能和稳态性能,验证了建模的正确性和控制方案的有效性。

关 键 词:建模  倒立摆  PID

Mathematical Modeling of Inverted Pendulum System and Complementation of PID Controller
DU Gang , XU Jing.Mathematical Modeling of Inverted Pendulum System and Complementation of PID Controller[J].Journal of Lianyungang Technical College,2013,26(2):19-23.
Authors:DU Gang  XU Jing
Institution:(Lianyungang Technical CoUege, Lianyungang 222006, China)
Abstract:For the inverted pendulum system with multi - variable, nonlinear and strong coupling, Newton - Euler method was used to establish its dynamics equation with linear processing and the state space model formed. Therefore a traditional PID control plan was designed and achieved stability control of the pendulum rod. Finally a computer simulation was carried out in the MATI_AB environment and the findings show that control process of the swing angle has good dynamic performance and steadystate performance, verifying correctness and effectiveness of modeling
Keywords:modeling  inverted pendulum  PID
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