Researching of Two-Wheeled Self-Balancing Robot Base on LQR Combined with PID

Liang Sun, Jiafei Gan
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引用次数: 53

Abstract

Two-wheeled self-balancing robot is a non-stable, non-linear, strong coupling system.On the basis of building up the system structure model,kinetic equation is built up by using the Lagrange' s method,then obtaining the linearizing model in the vicinity of the balance.The control method of combining LQR and PID can effectively overcome the impact of the constraints on the system in the linearization process,and whit the controller core of DSP TMS320LF2812,the two-wheeled self-balancing robot can achieve dynamic balance whitin a larger angle range. The physical experiments results demonstrate that it can control the two-wheeled robot system in a very short period of time to get a stable dynamic equilibrium,validity and rationality of the designed controller are verified through the performance experiments of the prototype.
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基于LQR与PID相结合的两轮自平衡机器人研究
两轮自平衡机器人是一个非稳定、非线性、强耦合的系统。在建立系统结构模型的基础上,利用拉格朗日法建立了动力学方程,得到了平衡点附近的线性化模型。LQR与PID相结合的控制方法可以有效克服线性化过程中约束对系统的影响,并以DSP TMS320LF2812为控制核心,使两轮自平衡机器人在更大的角度范围内实现动态平衡。物理实验结果表明,该控制器可以在很短的时间内控制两轮机器人系统达到稳定的动态平衡,通过样机的性能实验验证了所设计控制器的有效性和合理性。
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