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On the delay margin of dead-time compensators

机译:死区时间补偿器的延迟余量

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摘要

Dead-time compensators (DTCs) are frequently regarded as being excessively sensitive to uncertainty in the loop delay. Yet this claim is based mostly on empirical studies rather than on any rigorous analysis. In particular, despite existing literature on calculating the delay margin, Ad, there appears to be no study of the underlying reasons of such a sensitivity. In this paper we address the latter issue. By applying Nyquist criterion arguments, we demonstrate that substantial deterioration Of Ad is caused by the crossover proliferation phenomenon, which, in turn, may be triggered by the use of DTC, especially when aggressive control strategies are used. We also show that crossover proliferation may give rise to the discontinuity Of Ad as a function of system parameters. We argue that the sensitivity of DTCs to delay uncertainty shows mainly through these discontinuity points, so that the robustness can be improved if the discontinuities are avoided.
机译:死区时间补偿器(DTC)通常被认为对环路延迟的不确定性过于敏感。但是,这种说法主要基于经验研究,而不是任何严格的分析。尤其是,尽管已有有关计算延迟裕度Ad的文献,但似乎尚未研究这种敏感性的根本原因。在本文中,我们解决后一个问题。通过应用Nyquist标准参数,我们证明了Ad的大幅劣化是由交叉扩散现象引起的,而交叉扩散现象又可能是由于DTC的使用而引起的,尤其是在使用主动控制策略时。我们还表明,交叉扩散可能会导致Ad的不连续性作为系统参数的函数。我们认为,DTC对延迟不确定性的敏感性主要通过这些不连续点显示出来,因此,如果避免不连续性,则可以提高鲁棒性。

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