Structured singular value with repeated scalar blocks
Structured singular value with repeated scalar blocks
复制标题
具有重复标量块的结构化奇异值
DOI：
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发表时间：
1988
期刊：
影响因子：
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通讯作者：
J. Doyle
中科院分区：
文献类型：
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作者：
A. Packard;J. Doyle
结构奇异值μ是研究一类矩阵摄动问题的重要线性代数工具。这对于分析动态系统的稳定性和性能[DoyWS]是有用的。本文比[Doy]更详细地研究了包含重复标量参数的不确定性结构。在[DOYP]中，证明了[DOYWS]的频域μ检验在概念上可以简化为单个常量矩阵μ检验，但不确定性结构必须用大的重复标量块来增加。本文研究了这些不确定块的μ和上界的性质，并在假设上界是可以可靠计算的情况下，比较了基于频域和状态空间μ的测试。
The structured singular value, μ, is an important linear algebra tool to study a class of matrix perturbation problems, [Doy]. It is useful for analyzing the robustness of stability and performance of dynamical systems [DoyWS]. This paper studies uncertainty structures involving repeated scalar parameters in more detail than in [Doy]. In [DoyP], it was shown that the frequency domain μ tests of [DoyWS] can conceptually be reduced to a single constant matrix μ test, but the uncertainty structure must be augmented with a large repeated scalar block. This paper studies the properties of μ and the upper bound with these types of uncertainty blocks, and compares the frequency domain vs. state space μ based tests, assuming that the upper bound is what can be reliably computed.