Stability analysis of pulsewidth-modulated feedback systems
Stability analysis of pulsewidth-modulated feedback systems
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DOI：
10.1109/cdc.2000.912313
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发表时间：
2000-12
期刊：
影响因子：
--
通讯作者：
Ling Hou;A. Michel
中科院分区：
文献类型：
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作者：
Ling Hou;A. Michel
我们展示了具有线性设备的脉宽调制 (PWM) 反馈系统的新李亚普诺夫和拉格朗日稳定性结果。我们考虑非临界情况，其中被控对象传递函数的极点都在复平面的左半部分；以及临界情况，其中一个极点位于原点，而其余极点都在复平面的左半部分。对于这些系统，我们应用李亚普诺夫直接方法来建立新的和改进的稳定性结果。我们在分析中采用二次李亚普诺夫函数。然而，在证明中我们使用了不同的主要化，需要与现有结果中使用的假设显着不同的假设。此外，我们将结果优化程序纳入其中，从而显着改善我们的结果。我们通过两个与文献中提供的示例相同的具体示例来证明我们结果的适用性和质量。
We present new Lyapunov and Lagrange stability results for pulse-width-modulated (PWM) feedback systems with linear plants. We consider the non-critical case, where the poles of the transfer function of the plant are all in the left-half of the complex plane and the critical case, where one pole is at the origin while the remaining poles are all in the left-half of the complex plane. For these systems we apply the direct method of Lyapunov to establish new and improved stability results. We employ quadratic Lyapunov functions in our analysis. However, in the proofs we make use of different majorizations, requiring hypotheses that differ significantly from those used in the existing results. Additionally, we incorporate into our results optimization procedures that improve our results significantly. We demonstrate the applicability and quality of our results by means of two specific examples that are identical to examples presented in the literature.