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LQR-Based Adaptive Control Strategy for the Planar Double Inverted Pendulum

机译:基于LQR的平面双倒立摆自适应控制策略

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In this paper, based on previous research results and the linear quadratic optimal theory, the improved LQR adaptive controller was designed that can optimize control effect using coordinated factor. The mathematical model of planar double inverted pendulum is established by means of analytical dynamics method, then the optimal controller is presented with LQR theory, and further the output of the LQR adaptive controller is refined through coordinator, which is the function of the states of planar pendulum, and on account of that, control action exerted on the pendulum is improved. Simulation results together with pilot scale experiment in the lab verify the efficacy of the suggested scheme, show that the controller designed to be simple, real-time is good, and can also ensure that the different operating conditions with high control precision, fast response, good stability and robustness.
机译:本文基于已有的研究成果和线性二次最优理论,设计了一种改进的LQR自适应控制器,该控制器可以利用协调因子来优化控制效果。利用解析动力学方法建立了平面双倒立摆的数学模型,然后用LQR理论提出了最优控制器,并通过协调器对LQR自适应控制器的输出进行了优化,这是平面状态的函数。因此,改善了对摆的控制作用。仿真结果与实验室中试规模实验相结合,验证了所提方案的有效性,表明该控制器设计简单,实时性好,还可以确保不同的工况,控制精度高,响应速度快,良好的稳定性和鲁棒性。

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