Precise Characterizations of the Stability Margin in Time-Domain Space for Planar Systems Undergoing Periodic Switching
Precise Characterizations of the Stability Margin in Time-Domain Space for Planar Systems Undergoing Periodic Switching
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DOI：
10.1109/access.2017.2722417
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发表时间：
2017
期刊：
影响因子：
3.9
通讯作者：
Zunbing Sheng;W. Qian
中科院分区：
文献类型：
--
作者：
Zunbing Sheng;W. Qian
研究了平面周期切换系统的稳定性分析问题。我们刻画了由子系统的停留时间构成的空间中的稳定裕度，由此我们可以在必要和充分的意义上评估整个系统的渐近稳定性。停留时间的相互约束条件取决于各子系统平衡点的类型。稳定性条件表示在一个家庭的超越不等式，它可以数值求解，并精确地描绘在时域空间。最后给出了一个具体的算例来说明理论结果。
This paper addresses the stability analysis problem for planar periodic switching systems. We characterize the stability margin in the space constituted by the dwell times of the subsystems, by which we can assess the asymptotic stability of the overall system in the necessary and sufficient sense. The mutual constraint conditions on the dwell times in nature depend on the type of equilibrium point of each subsystem. The stability conditions are expressed in terms of a family of transcendental inequalities, which can be numerically solved and precisely depicted in the time-domain space. An example is worked out in detail to illustrate the theoretical results.