Computation of stability robustness bounds for linear discrete-time systems with time-varying parametric uncertainties

DOI10.1080/02522667.2007.10699768zbMath1138.93025OpenAlexW2053805900MaRDI QIDQ5455300

Yung-Shan Chou, Chun-Chen Lin

Publication date: 3 April 2008

Published in: Journal of Information and Optimization Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/02522667.2007.10699768

zbMATH Keywords

robust stabilityparametric uncertaintystructured singular value\(\mu\) theoryrate-of-variation

Mathematics Subject Classification ID

Control/observation systems with incomplete information (93C41) Discrete-time control/observation systems (93C55) Linear systems in control theory (93C05) Eigenvalue problems (93B60) Robust stability (93D09) Eigenvalues, singular values, and eigenvectors (15A18)

Uses Software

• LMI toolbox

Cites Work

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• Linear matrix inequalities in robustness analysis with multipliers
• A measure of worst-case \(H_ \infty\) performance and of largest acceptable uncertainty
• On the Kalman-Yakubovich-Popov lemma
• The complex structured singular value
• Multiplier-based robust \(H_\infty\) design with time-varying uncertainties
• Robustness in the presence of mixed parametric uncertainty and unmodeled dynamics
• Robust stability with time-varying structured uncertainty
• Stability multipliers and μ upper bounds: connections and implications for numerical verification of frequency domain conditions
• Frequency-domain criteria of robust stability for slowly time-varying systems
• Robust performance against time-varying structured perturbations
• Affine parameter-dependent Lyapunov functions and real parametric uncertainty

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