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Analysis of hybrid feedback systems with PFM mechanisms

机译:具有PFM机制的混合反馈系统分析

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摘要

A graphical method is proposed for analysing hybrid feedback systems with PFM mechanisms. The system comprises a pulse frequency modulator (PFM) in the feedforward path and a linear constant plant in the feedback. The describing function approach is employed, applied not to the original system, but to an equivalent system. The approach takes into account two types of pulse, impulses and finite-height pulses, emitted from the modulator. Numerical examples show that the proposed method is practical in the sense that it can give an estimated stability condition, which is not excessively conservative, but still remains in the safety side. The fact that the finite- height pulses are taken into consideration as an approximation of the impulses gives another practicality to the approach.
机译:提出了一种图形方法来分析具有PFM机制的混合反馈系统。该系统在前馈路径中包括一个脉冲频率调制器(PFM),在反馈中包括一个线性常数。描述函数方法被采用,不应用于原始系统,而是应用于等效系统。该方法考虑了从调制器发出的两种脉冲,即脉冲和有限高度脉冲。数值算例表明,该方法在可以给出估计的稳定性条件的意义上是可行的,该条件不是过于保守,而是仍然在安全方面。将有限高度脉冲作为脉冲的近似值考虑在内的事实为该方法提供了另一种实用性。

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