Non-conservative Characterization of Bounded Real Lemma for Interval Delay Systems

Non-conservative Characterization of Bounded Real Lemma for Interval Delay Systems
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区间时滞系统有界实数引理的非保守表征

DOI:
10.1109/cdc45484.2021.9683344
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发表时间:
2021
期刊:
Proc. of 2021 60th IEEE Conference on Decision and Control
影响因子:
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通讯作者:
Hashikura Kotaro
Hashikura Kotaro
中科院分区:
--
文献类型:
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作者:
Kojima Akira;Hashikura Kotaro

文献摘要

相似文献

导出了区间时滞系统的非保守有界实引理,表征了无时滞参数相关lmi可实现的H∞性能。将这些条件推广到时延无关H∞性能的评价,并对所得到的lmi与一类决策变量之间的关系提供了一些解释。针对这两个问题,通过数值算例讨论了性能评价的分支定界法。
Non-conservative bounded real lemma is derived for interval delay systems, which characterizes the achievable H∞performance with delay-free parameter-dependent LMIs. The conditions are extended to the evaluation of delay-independent H∞performance, and some interpretations are provided on the relationship between the resulting LMIs and a class of decision variables. For both problems, a branch-and-bound method for evaluating the performance is discussed with numerical examples.