The complex /spl mu/ analysis for reciprocal systems

The structured singular value (SSV or /spl mu/) is a reasonable tool for robustness analysis of control systems with structured uncertainties. However, analysis by using /spl mu/ generally needs complicated computations. In this paper, we show that computing /spl mu/ of a special class of matrices,...

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Bibliographic Details
Published inProceedings of 35th IEEE Conference on Decision and Control Vol. 2; pp. 1309 - 1314 vol.2
Main Authors Oku, H., Yamamoto, S., Kimura, H.
Format Conference Proceeding
LanguageEnglish
Published IEEE 1996
Subjects
Control system analysis
Control systems
Mechanical systems
Physics
Robust control
Symmetric matrices
System testing
Transfer functions
Uncertainty
Upper bound
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ISBN9780780335905
0780335902
ISSN0191-2216
DOI10.1109/CDC.1996.572680

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Summary:The structured singular value (SSV or /spl mu/) is a reasonable tool for robustness analysis of control systems with structured uncertainties. However, analysis by using /spl mu/ generally needs complicated computations. In this paper, we show that computing /spl mu/ of a special class of matrices, that is reciprocal, is not so complicated. The bounds of /spl mu/ of reciprocal matrices are easily calculated in comparison with general matrix cases. Reciprocity is extensive notion of symmetry, which can be seen in the so-called collocated mechanical systems. It is shown that robust performance tests for such reciprocal systems are also simple.
ISBN:9780780335905
0780335902
ISSN:0191-2216
DOI:10.1109/CDC.1996.572680