Duality and basis functions for robust \({\mathcal H}_2\)-performance analysis

DOI10.1016/S0005-1098(97)00103-9zbMath0924.93008MaRDI QIDQ1129703

Keat-Choon Goh, Wu, Fen

Publication date: 7 November 1999

Published in: Automatica (Search for Journal in Brave)

zbMATH Keywords

dualityrobust performancebasis functionsstructured uncertainty

Mathematics Subject Classification ID

Sensitivity (robustness) (93B35) Linear inequalities of matrices (15A39)

Related Items

An algorithm for robust performance tests based on frequency-dependent LMIs, Real-time fixed-order lateral \(H_2\) controller for micro air vehicle

Uses Software

• LMI toolbox
• Mu Analysis and Synthesis Toolbox

Cites Work

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• Linear matrix inequalities in robustness analysis with multipliers
• \({\mathcal H}_ 2\) guaranteed cost control for uncertain continuous-time linear systems
• On the Kalman-Yakubovich-Popov lemma
• The complex structured singular value
• A primal-dual potential reduction method for problems involving matrix inequalities
• A cosmological model with negative constant deceleration parameter in Brans-Dicke theory
• The robust H/sub 2/ control problem: a worst-case design
• Robustness in the presence of mixed parametric uncertainty and unmodeled dynamics
• LQG control with an H/sup infinity / performance bound: a Riccati equation approach
• A multiloop generalization of the circle criterion for stability margin analysis
• Mixed H/sub 2//H/sub infinity / control: a convex optimization approach
• Mixed ℋ/sub 2/ and ℋ/sub ∞/ performance objectives. I. Robust performance analysis
• Mixed ℋ/sub 2/ and ℋ/sub ∞/ performance objectives. II. Optimal control
• Optimal guaranteed cost control and filtering for uncertain linear systems
• Linear Matrix Inequalities in System and Control Theory
• Robust performance against time-varying structured perturbations