基于改进lmi的多面体不确定系统d -稳定性条件

Yung-Sheng Liu, C. Fang, S. Kau, Lin Hong
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引用次数: 6

摘要

提出了具有多面体不确定性的线性系统鲁棒d稳定性的一个较不保守的条件。通过对一组只涉及多面体顶点的线性矩阵不等式的可行性检验,可以很容易地证明该多面体的鲁棒d稳定性。结果表明,所提出的条件包含了许多最近作为特例公布的条件。据作者所知,与目前在多面体不确定系统鲁棒d稳定性分析领域中可用的其他条件相比,目前的结果是最不保守的
本文章由计算机程序翻译,如有差异,请以英文原文为准。
An improved LMI-based D-stability condition for polytopic uncertain systems
A less conservative condition for robust D-stability of linear systems with polytopic uncertainties is proposed. The robust D-stability can be easily attested by means of a feasibility test of a set of linear matrix inequalities (LMIs) involving only the vertices of the polytope. It is shown that the proposed condition include a lot of conditions published recently as particular cases. To the best of authors' knowledge, the present result is the least conservative in comparison with other conditions currently available in the field of robust D-stability analysis for polytopic uncertain systems
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