Geometric Aspects in the Computation of the Structured Singular Value.

Loading...
Thumbnail Image

Files

TR_86-16.pdf (260.81 KB)
No. of downloads: 563

Publication or External Link

Date

1986

Advisor

Citation

DRUM DOI

Abstract

The concept of structured signular value was recently introduced by Dolye (Proc. IEEE, vol.129, pp. 242-250, 1982) as a tool for the analysis and synthesis of feedback systems with structured uncertainties. In this paper an equivalent expression for the structured singular value is proposed, leading to an alternative algorithm for its computation. The new approach is based on the geometric properties of certain family of sets. Similar to previously considered schemes, the algorithm proposed here is proven to give the correct value for block-structures of size up to 3. For larger sizes, insight is gained in the question of the possible 'gap' between the structured singular value and its known upper bound.

Notes

Rights