文章基本信息

标题：Symbolic models for incrementally stable switched systems with aperiodic time sampling ⁎
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作者：Zohra Kader ; Antoine Girard ; Adnane Saoud 等
期刊名称：IFAC PapersOnLine
印刷版ISSN：2405-8963
出版年度：2018
卷号：51
期号：16
页码：253-258
DOI：10.1016/j.ifacol.2018.08.043
语种：English
出版社：Elsevier
摘要：AbstractIn this paper, we consider the problem of symbolic model design for the class of incrementally stable switched systems. Contrarily to the existing results in the literature where switching is considered as periodically controlled, in this paper, we consider aperiodic time sampling resulting either from uncertain or event-based sampling mechanisms. Firstly, we establish sufficient conditions ensuring that usual symbolic models computed using periodic time-sampling remain approximately bisimilar to a switched system when the sampling period is uncertain and belongs to a given interval; estimates on the bounds of the interval are provided. Secondly, we propose a new method to compute symbolic models related by feedback refinement relations to incrementally stable switched systems, using an event-based approximation scheme. For a given precision, these event-based models are guaranteed to enable transitions of shorter duration and are likely to allow for more reactiveness in controller design. Finally, an example is proposed in order to illustrate the proposed results and simulations are performed for a Boost dc-dc converter structure.
关键词：KeywordsApproximate bisimulationfeedback refinement relationswitched systemsaperiodic samplingincremental stability