A gain-based lower bound algorithm for real and mixed \(\mu \) problems

DOI10.1016/j.automatica.2009.12.008zbMath1194.93080OpenAlexW2167205973MaRDI QIDQ987607

Pete Seiler, Gary J. Balas, Andrew K. Packard

Publication date: 13 August 2010

Published in: Automatica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.automatica.2009.12.008

zbMATH Keywords

uncertain linear systemsrobust stabilitystructured singular value

Mathematics Subject Classification ID

Linear systems in control theory (93C05) Robust stability (93D09)

Related Items (7)

Computation of the real structured singular value via pole migration ⋮ Robust and nonlinear control literature survey (No. 18) ⋮ Linear fractional transformation co-modeling of high-order aeroelastic systems for robust flutter analysis ⋮ A non‐smooth lower bound on ν ⋮ Worst‐case stability and performance with mixed parametric and dynamic uncertainties ⋮ Computation of Bifurcation Margins Based on Robust Control Concepts ⋮ Robust stability clearance of flight control law based on global sensitivity analysis

Uses Software

• Robust Control Toolbox

Cites Work

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• Robustness margin need not be a continuous function of the problem data
• Structured singular values and stability analysis of uncertain polynomials. I: The generalized \(\mu\)
• Structured singular values and stability analysis of uncertain polynomials. II: A missing link
• The rank one mixed \(\mu\) problem and `Kharitonov-type' analysis
• The complex structured singular value
• Fast computation of the multivariable stability margin for real interrelated uncertain parameters
• MIXED μ PROBLEMS AND BRANCH AND BOUND TECHNIQUES
• A lower bound for the mixed μ problem
• Robustness in the presence of mixed parametric uncertainty and unmodeled dynamics
• Exact calculation of the multiloop stability margin
• The Componentwise Distance to the Nearest Singular Matrix
• Robustness analysis for systems with ellipsoidal uncertainty
• Continuity properties of the real/complex structured singular value
• Computational complexity of μ calculation
• The real structured singular value is hardly approximable
• Robustness margin calculation with dynamic and real parametric uncertainty
• Development of a skew µ lower bound

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