A passivity measure of systems in cascade based on passivity indices
A passivity measure of systems in cascade based on passivity indices
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DOI：
10.1109/cdc.2010.5717648
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发表时间：
2010-12
期刊：
影响因子：
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通讯作者：
Han Yu;P. Antsaklis
中科院分区：
文献类型：
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作者：
Han Yu;P. Antsaklis
无源性指数的定义方面的过剩或短缺的无源性，他们已经推出，以扩大无源性为基础的稳定性条件更一般的情况下，无源和非无源系统。虽然大部分的工作基于无源性的稳定性结果在文献中的重点是采用无源或非无源系统的反馈互连，我们的结果集中在级联互连的无源性措施。本文从无源性指标的角度重新审视了割线判据的结果，并给出了如何利用割线判据来度量级联输入严格无源/输出严格无源系统的无源性过剩/不足，同时提出了一种度量级联耗散系统无源性的方法，其中每个子系统可以是无源的也可以是非无源的.此外，我们研究了级联互连可以通过输出反馈直接稳定的条件。
Passivity indices are defined in terms of an excess or shortage of passivity, and they have been introduced in order to extend the passivity-based stability conditions to more general cases for both passive and non-passive systems. While most of the work on passivity-based stability results in the literature focuses on employing the feedback interconnection of passive or non-passive systems, our results focus on a passivity measure for cascade interconnection. In this paper, we revisit the results on secant criterion from the perspective of passivity indices and we show how to use the secant criterion to measure the excess/shortage of passivity for cascaded Input Strictly Passive/Output Strictly Passive systems; we also propose a method to measure passivity for cascaded dissipative systems, where each subsystem could be passive or non-passive. Furthermore, we study the conditions under which the cascade interconnection can be directly stabilized via output feedback.