Numerical algorithms for the largest structured singular value of a μ-synthesis control system

Kun Chu Chen, Chern Shuh Wang, Ching Chang Yen

Research output: Contribution to journalArticlepeer-review

Abstract

Numerical algorithms for the computation of an upper bound of the largest structured singular value arising from the μ-synthesis control problem are developed. Since the computation for the largest structured singular value has been shown to be an NP-hard problem in literatures, we concentrate the study on the computation for an upper bound of the largest structured singular value. A Newton's type method is proposed. Some theoretical results related to the method are investigated. Numerical implementation shows the efficiency of the method.

Original languageEnglish
Pages (from-to)973-998
Number of pages26
JournalTaiwanese Journal of Mathematics
Volume14
Issue number3 A
DOIs
Publication statusPublished - 2010 Jun

All Science Journal Classification (ASJC) codes

  • Mathematics(all)

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