The complex μ analysis for reciprocal systems

Author

Oku, Hiroshi ; Yamamoto, Shigeru ; Kimura, Hidenori

Author_Institution

Dept. of Math. Eng. & Inf. Phys., Tokyo Univ., Japan

Volume

2

fYear

1996

fDate

11-13 Dec 1996

Firstpage

1309

Abstract

The structured singular value (SSV or μ) is a reasonable tool for robustness analysis of control systems with structured uncertainties. However, analysis by using μ generally needs complicated computations. In this paper, we show that computing μ of a special class of matrices, that is reciprocal, is not so complicated. The bounds of μ 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

Keywords

control system analysis; frequency-domain analysis; matrix algebra; robust control; state-space methods; transfer functions; collocated mechanical systems; complex μ analysis; reciprocal matrices; reciprocal systems; robust performance tests; robustness analysis; structured singular value; structured uncertainties; symmetry; Control system analysis; Control systems; Mechanical systems; Physics; Robust control; Symmetric matrices; System testing; Transfer functions; Uncertainty; Upper bound;

fLanguage

English

Publisher

ieee

Conference_Titel

Decision and Control, 1996., Proceedings of the 35th IEEE Conference on

Conference_Location

Kobe

ISSN

0191-2216

Print_ISBN

0-7803-3590-2

Type

conf

DOI

10.1109/CDC.1996.572680

Filename

572680