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基于LQR理论的直线单级倒立摆PID控制仿真研究 被引量:4

Simulation Research on PID Control for Linear Single Inversed Pendulum System Based on LQR Theory
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摘要 针对一级倒立摆不稳定的特性,为其建立了数学模型,并采用双PID控制策略对其进行控制.通过线性二次型最优控制(LQR)理论计算出反馈矩阵K,将K中的参数作为PID控制器的参数.计算机仿真实验结果表明,此方法可以简化PID控制器参数的选取过程,并对直线一级倒立摆系统取得了良好的控制效果. A mathematical model was established and a double PID control strategy was adopted for a linear single inversed pendulum system for solving its instability.The feed back matrix K was calculated using the LQR theory,and the elements in K were set up to the double PID controller as the parameter.The simulation results present that this method can simplify the choosing of the parameter for the PID controller and give a good control effect to the linear single inversed pendulum system.
作者 于海洋
出处 《佳木斯大学学报(自然科学版)》 CAS 2010年第6期821-826,848,共7页 Journal of Jiamusi University:Natural Science Edition
关键词 单级倒立摆 LQR PID single inversed pendulum LQR PID
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