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基于误差反馈的环形一级倒立摆自动摆起控制

Research on Swing-up single circle inverted pendulum with error feedback

中文摘要英文摘要

本文以单级环形倒立摆为研究对象,使用拉格朗日方程建立倒立摆系统的数学模型,对其进行起摆控制。提出了一种基于误差反馈的控制算法,设计了一个带乘数因子的变系数控制器,设计变系数的目的是在摆杆摆起的过程中使控制量越来越大,从而缩短起摆时间。变系数可以设计成很多形式。稳摆控制器采用LQR方法设计。通过MATLAB仿真得出使用改进后算法的起摆时间,并与未改进前及现有最常见的算法进行对比,在同样初始控制量的条件下,起摆时间缩短了3s左右,最后针对不同长度的摆杆进行起摆控制,得出改进后算法具有很好的自适应性。

his paper studies single inverted pendulum, the model of the inverted pendulum is worked out based on Lagrange method, design swing-up controller for the model. Firstly, an algorithm based on error feedback was introduced. The order of designing variable coefficient is to increase control signal in the process of swing-up the inverted pendulum, so as to decrease the time of swing-up inverted pendulum. Secondly , different kinds of variable coefficients were discussed. The Stabilization controller was designed with LQR method. Time of swing-up was obtained from MATLAB simulation with improved algorithm, it was compared with the time which is obtained from simulation with unimproved algorithm and other algorithms which already existed, the time of swing-up decreased about three seconds with the same initial condition. Lastly, more physical parameters were used to demonstrate the universal applicability of the improved method.

汪青华、汪德刚

自动化技术、自动化技术设备自动化基础理论

倒立摆系统能量控制变系数起摆LQR控制

inverted pendulum systemenergy controlvariable coefficientswing-upLQR control

汪青华,汪德刚.基于误差反馈的环形一级倒立摆自动摆起控制[EB/OL].(2013-03-27)[2025-08-11].http://www.paper.edu.cn/releasepaper/content/201303-899.点此复制

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