An approach to solving parameter-dependent LMI conditions based on finite number of LMI conditions
An approach to solving parameter-dependent LMI conditions based on finite number of LMI conditions
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一种基于有限个 LMI 条件求解参数相关 LMI 条件的方法
DOI：
10.1109/acc.1997.611851
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发表时间：
1997
期刊：
影响因子：
--
通讯作者：
K. Uchida
中科院分区：
文献类型：
--
作者：
T. Azuma;R. Watanabe;K. Uchida
Many researches for linear parameter varying systems focus on the approach using a parameter-dependent Lyapunov function. Analysis and controller design for linear parameter varying systems are characterized by parameter-dependent linear matrix inequalities (LMIs). We propose an approach to solving parameter-dependent LMI conditions based on a finite number of LMI conditions. The proposed method does not require any particular assumptions on the parameter dependence except continuity. We consider a class of linear parameter varying systems and apply the proposed technique to analysis of their L/sup 2/ gain. Finally we demonstrate its efficacy by a numerical case study.
