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Comparative study on H∞ robust control based on dynamic state feedback and static state feedback

机译:基于动态反馈和静态反馈的H∞鲁棒控制的比较研究

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Aiming at a triple Inverted pendulum model, the H robust control problem based on dynamic state feedback and static state feedback is studied in this paper. First, the sufficient condition for H robust stability based on dynamic state feedback is obtained by employing the linear matrix inequality (LMI) approach. And the design method of the H dynamic state feedback controller is given. Then, the comparison with H robust control method based on static state feedback is studied by the simulations. The results show that the dynamic-state-feedback-based H controller is equally effective as the one based on static state feedback. The former has more flexibility and less conservatism than the other, but the latter has better performance on dynamic stationarity and disturbance attenuation capability.
机译:针对三重倒立摆模型,研究了基于动态反馈和静态反馈的H鲁棒控制问题。首先,通过采用线性矩阵不等式(LMI)方法获得了基于动态状态反馈的H鲁棒稳定性的充分条件。给出了H动态状态反馈控制器的设计方法。然后,通过仿真研究了与基于静态反馈的H鲁棒控制方法的比较。结果表明,基于动态反馈的H控制器与基于静态反馈的H控制器一样有效。前者比其他方法具有更大的灵活性和更少的保守性,但是后者在动态平稳性和干扰衰减能力方面具有更好的性能。

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