Title :
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
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;
Conference_Titel :
Decision and Control, 1996., Proceedings of the 35th IEEE Conference on
Conference_Location :
Kobe
Print_ISBN :
0-7803-3590-2
DOI :
10.1109/CDC.1996.572680
