Polytopic best-meanH∞performance analysis

DOI10.1080/00207721.2012.659710zbMath1278.93278OpenAlexW2131670296MaRDI QIDQ2872534

S. Boyarski

Publication date: 15 January 2014

Published in: International Journal of Systems Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207721.2012.659710

zbMATH Keywords

polytopic uncertaintyMonte Carlo analysisprobabilistic performanceuniform distribution assumptionclosed-loop pointwise \(H_\infty\)-normsconvex uncertainty polytopesdisturbance attenuation levels (DALs)robust \(H_\infty\) analysis

Mathematics Subject Classification ID

(H^infty)-control (93B36) Linear systems in control theory (93C05) Identification in stochastic control theory (93E12)

Related Items (2)

Extended bounded real lemma based sum of squares for static output feedback H_∞ heading control ⋮ An asymptotically exact LMI solution to the robust discretisation of LTI systems with polytopic uncertainties and its application to sampled-data control

Cites Work

• The uniform distribution: A rigorous justification for its use in robustness analysis
• A new robust D-stability condition for real convex polytopic uncertainty
• Mean value coordinates
• Probability-guaranteed robust \(H_{\infty }\) performance analysis and state-feedback design
• Robust \(H_{\infty }\) control design for best mean performance over an uncertain-parameters box
• Discrete-timeH_∞andH₂control with structured disturbances and probability-relaxed requirements
• An lpd approach to robust H/sub 2/ and H∞ static output-feedback design
• Probabilistic robust design with linear quadratic regulators
• Randomized algorithms for robust controller synthesis using statistical learning theory

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