MDADT准则下各子系统不稳定切换系统的稳定性分析

2018 10th International Conference on Communications, Circuits and Systems (ICCCAS) Pub Date : 2018-12-01 DOI:10.1109/ICCCAS.2018.8768904

Xiang Mao, Xiaozeng Xu, Hongbin Zhang

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引用次数: 1

摘要

本文研究了所有子系统不稳定的离散时间切换系统的一个新的模相关平均停留时间稳定性结果。结合MDADT分析方法，将子系统分为切换稳定子系统和切换不稳定子系统两类。切换不稳定子系统引起的状态发散可以通过激活切换稳定子系统足够长的时间来补偿。在此基础上，对所有子系统都不稳定的切换系统，提出了一个新的全局指数稳定性结果。此外，新结果是对先前方法的推广，更适用于更不稳定子系统的情况。数值算例说明了所建立结果的优越性。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Stability Analysis of Switched System with All Subsystems Unstable under MDADT Criteria

In this paper, a new mode-dependent average dwell time (MDADT) stability result of discrete-time switched systems with all subsystems unstable is investigated. Combined with MDADT analysis method, we classified subsystems into two categories: switching stable subsystems and switching unstable subsystems. State divergence caused by switching unstable subsystems could be compensated by activating switching stable subsystems for a sufficiently long time. Based on the above considerations, a new globally exponentially stability result was proposed for switched systems with all subsystems unstable. In addition, the new result is a generalization of the previous method, which is more suitable for the case of more unstable subsystems. Some numerical examples are given to illustrate the advantages of our established results.

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2018 10th International Conference on Communications, Circuits and Systems (ICCCAS)

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