Robustness analysis and synthesis of SISO systems under both plant and controller perturbations

DOI10.1016/S0167-6911(00)00090-6zbMath0985.93043WikidataQ126977484 ScholiaQ126977484MaRDI QIDQ5940856

Long Wang, Zhi-Sheng Duan, Lin Huang

Publication date: 20 August 2001

Published in: Systems \& Control Letters (Search for Journal in Brave)

zbMATH Keywords

robustnesslinear matrix inequalityperturbationsLMIanalysis and synthesismultilinear disc polynomials

Mathematics Subject Classification ID

Sensitivity (robustness) (93B35) Linear inequalities of matrices (15A39) Perturbations in control/observation systems (93C73) Robust stability (93D09) Synthesis problems (93B50)

Related Items

Multiplier design for extended strict positive realness and its applications ⋮ A new viewpoint of H ∞ control in frequency domain

Uses Software

• LMI toolbox

Cites Work

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• All controllers for the general \({\mathcal H}_ \infty\) control problem: LMI existence conditions and state space formulas
• Controller design for plants with structured uncertainty
• Explicit controller formulas for LMI-based \(H_ \infty\) synthesis
• Multiplying disks: Robust stability of a cascade connection
• Robust stability of a family of disc polynomials
• Robust stabilizability for a class of transfer functions
• A linear matrix inequality approach to H_∞ control
• Robust, fragile, or optimal?

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