Title :
On structured singular values of reciprocal matrices
Author :
Yamamoto, Shigeru ; Kimura, Hidenori
Author_Institution :
Dept. of Syst. Eng., Osaka Univ., Japan
Abstract :
Computing the structured singular value (or μ) is a bottleneck of the robustness analysis and synthesis of control systems. In this paper, it is shown that μ is identical to the maximum singular value for an important class of matrices called reciprocal, which reflects the intrinsic symmetry of physical world
Keywords :
control system analysis; control system synthesis; matrix algebra; robust control; intrinsic symmetry; maximum singular value; reciprocal matrices; robustness analysis; robustness synthesis; structured singular values; Chromium; Erbium; Matrix decomposition; Singular value decomposition; Stability analysis; Symmetric matrices; Transfer functions; Upper bound; Virtual manufacturing;
Conference_Titel :
American Control Conference, Proceedings of the 1995
Conference_Location :
Seattle, WA
Print_ISBN :
0-7803-2445-5
DOI :
10.1109/ACC.1995.532227
