Improved μ upper bound computation using the μ-sensitivities. Issue 14 (2015)

• Record Type: Journal Article
• Authors: Lesprier, Jérémy; Roos, Clément; Biannic, Jean-Marc
• Is Part Of: IFAC-PapersOnLine. Volume 48:Issue 14(2015)
• Page Start: 215
• Page End: 220
• Publication Date: 2015
• Subjects: μ-analysis -- μ-sensitivities -- branch-and-bound -- robustness analysis -- multipliers; Automatic control -- Periodicals; 629.805
• DOI: 10.1016/j.ifacol.2015.09.460
• Languages: English
• ISSNs: 2405-8963

Abstract

Abstract: Three new methods are proposed in this paper to reduce the gap between the structured singular value μ and its upper bounds with a reasonable computation time. The first one is based on the classical (D, G)-scalings formulation, the second one on a more general multiplier based approach and the third one on an advanced branch-and-bound algorithm. They all use the μ -sensitivities to evaluate which uncertainties are worth considering for either partly solving some costly LMIs or intelligently cutting the uncertainty domain. They are successfully assessed on a list of realistic benchmarks.