Robustness analysis with full-structured uncertainties

DOI10.1016/S0005-1098(97)00138-6zbMath0903.93007WikidataQ127008664 ScholiaQ127008664MaRDI QIDQ1388105

Peter M. Young

Publication date: 6 January 1999

Published in: Automatica (Search for Journal in Brave)

zbMATH Keywords

robustness analysisblock-diagonal structurestructured uncertaintystructured singular value method

Mathematics Subject Classification ID

Related Items (5)

Bond graph models of structured parameter uncertainties ⋮ Discussion on: ``GPC robust design using linear and/or bilinear matrix inequalities ⋮ A \(\mu \)-based optimal finite-word-length controller design ⋮ A new vertex result for robustness problems with interval matrix uncertainty ⋮ An efficient methodology for robust control of dynamic systems with interval matrix uncertainties

Uses Software

• Mu Analysis and Synthesis Toolbox

Cites Work

• The complex structured singular value
• Robustness in the presence of mixed parametric uncertainty and unmodeled dynamics
• Singular-value and eigenvalue techniques in the analysis of systems with structured perturbations
• Principal direction alignment: a geometric framework for the complete solution to the μ-problem
• Necessary and sufficient stability criterion for systems with structured uncertainties: the major principal direction alignment principle
• Characterization and efficient computation of the structured singular value
• Exact calculation of the multiloop stability margin
• Characterization of "Allowable perturbations" for robust stability
• Calculation of the structured singular value with a reduced number of optimization variables
• On the equivalence between similarity and nonsimilarity scaling in robustness analysis
• Computational complexity of μ calculation
• Linear Matrix Inequalities in System and Control Theory
• Computing bounds for the mixed μ problem
• Properties of the mixed μ problem and its bounds
• Structured singular values with nondiagonal structures. I. Characterizations
• Structured singular values with nondiagonal structures. II. Computation
• Analysis and design for ill-conditioned plants

This page was built for publication: Robustness analysis with full-structured uncertainties