Quantized Feedback Stabilization of Sampled-Data Switched Linear Systems

Quantized Feedback Stabilization of Sampled-Data Switched Linear Systems
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DOI:
10.3182/20140824-6-za-1003.00260
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发表时间:
2014-03
期刊:
ArXiv
影响因子:
--
通讯作者:
M. Wakaiki;Y. Yamamoto
M. Wakaiki;Y. Yamamoto
中科院分区:
其他
文献类型:
--
作者:
M. Wakaiki;Y. Yamamoto

文献摘要

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提出了一种量化采样线性切换系统的稳定性分析方法。控制器的可用信息是有限的:在每个采样时间的量化状态和开关信号。采样时间之间的切换会产生被控对象和控制器之间的模式失配。此外,量子化的粗糙度使得轨迹在原点附近徘徊,而不是接近原点。因此,如果不匹配导致闭环系统的不稳定,则轨迹可能离开期望的邻域。对于切换系统的稳定性,我们发展了一个充分条件,其特征在于总失配时间。讨论了失配时间与开关信号驻留时间的关系。
We propose a stability analysis method for sampled-data switched linear systems with quantization. The available information to the controller is limited: the quantized state and switching signal at each sampling time. Switching between sampling times can produce the mismatch of the modes between the plant and the controller. Moreover, the coarseness of quantization makes the trajectory wander around, not approach, the origin. Hence the trajectory may leave the desired neighborhood if the mismatch leads to instability of the closed-loop system. For the stability of the switched systems, we develop a sufficient condition characterized by the total mismatch time. The relationship between the mismatch time and the dwell time of the switching signal is also discussed.