Robust analysis and synthesis of linear polytopic discrete-time periodic systems via LMIs
Robust analysis and synthesis of linear polytopic discrete-time periodic systems via LMIs
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通过 LMI 进行线性多面体离散时间周期系统的稳健分析和综合
DOI：
10.1109/cdc.2005.1583077
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发表时间：
2005
期刊：
影响因子：
--
通讯作者：
J. Daafouz
中科院分区：
文献类型：
--
作者：
D. Arzelier;D. Peaucelle;C. Farges;J. Daafouz
研究一类特殊的不确定线性离散周期系统。本文研究了基于周期状态反馈律的真实多面体线性离散周期系统鲁棒镇定问题。利用附加松弛变量和周期Lyapunov引理，给出了鲁棒镇定的一个扩展充分条件。基于周期参数相关的Lyapunov函数，证明了最后一个条件总是比基于二次稳定性框架的更经典的条件更保守。这是由文献中的数值例子说明的。
A particular class of uncertain linear discrete-time periodic systems is considered. The problem of robust stabilization of real polytopic linear discrete-time periodic systems via a periodic state-feedback law is tackled here. Using additional slack variables and the periodic Lyapunov lemma, an extended sufficient condition of robust stabilization is proposed. Based on periodic parameter-dependent Lyapunov functions, this last condition is shown to be always less conservative than the more classic one based on the quadratic stability framework. This is illustrated on numerical examples from the literature.