Robust Stability Analysis of Single-Parameter Dependent Descriptor Systems
Robust Stability Analysis of Single-Parameter Dependent Descriptor Systems
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DOI：
10.1109/cdc.2005.1582610
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发表时间：
2005-12
期刊：
影响因子：
--
通讯作者：
R. Sakuwa;Y. Fujisaki
中科院分区：
文献类型：
--
作者：
R. Sakuwa;Y. Fujisaki
研究了系数矩阵为不确定参数仿射函数的广义时不变系统的精确鲁棒稳定性分析。给出了鲁棒稳定性的一个充要条件，即变量矩阵为参数多项式矩阵的参数化线性矩阵不等式（LMI），其中多项式矩阵关于参数的次数的上界被显式地导出.然后，它表明，参数化的LMI减少到一个参数独立的和有限维的LMI，这意味着这类系统的鲁棒稳定性分析可以被改写为一个有限维凸可行性问题。
Exact robust stability analysis is considered for time-invariant descriptor systems whose coefficient matrices are affine functions of an uncertain parameter. A necessary and sufficient condition for robust stability is given as a parameterized linear matrix inequality (LMI) whose variable matrices are polynomial matrices of the parameter, where an upper bound of the degree of the polynomial matrices with respect to the parameter is derived explicitly. Then, it is shown that the parameterized LMI is reduced to a parameter-independent and finite-dimensional LMI, which implies that robust stability analysis of this class of systems can be recast exactly as a finite-dimensional convex feasibility problem.