A new upper bound for the skewed structured singular value

✍ Scribed by Gilles Ferreres; Vincent Fromion

• Publisher: John Wiley and Sons
• Year: 1999
• Tongue: English
• Weight: 155 KB
• Volume: 9
• Category: Article
• ISSN: 1049-8923
• DOI: 10.1002/(sici)1099-1239(199901)9:1<33::aid-rnc390>3.0.co;2-f

✦ Synopsis

The structured singular value (s.s.v) enables the study of robust stability and performance of a controller in the presence of real parametric uncertainties and complex uncertainties corresponding to neglected dynamics. In spite of the NP-hard characteristic of the problem, it is now possible to compute an interval for the s.s.v. using polynomial-time algorithms. The skewed s.s.v. was introduced by Fan and Tits in the context of robust performance analysis. The primary aim of this paper is to propose a new mixed upper bound, which is applicable to problems with a special, but practically important, structure. We then illustrate through a realistic missile example that certain problems naturally require the tool rather than the tool.