Algorithms for worst case identification in \(\mathcal H_{\infty}\) and in the \(\nu\)-gap metric

DOI10.1016/J.AUTOMATICA.2004.01.019zbMath1110.93004OpenAlexW2061164048MaRDI QIDQ1888418

Yanyan Li

Publication date: 23 November 2004

Published in: Automatica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.automatica.2004.01.019

zbMATH Keywords

convergencedistancerobust identificationsmoothnessa priori error boundsidentification for controlidentification algorithm\(\nu\)-gap metricapproximation in \( \mathcal L_2\)-gapwinding number constraintwinding number correction

Mathematics Subject Classification ID

Sensitivity (robustness) (93B35) System identification (93B30) (H^infty)-control (93B36) Proceedings, conferences, collections, etc. pertaining to systems and control theory (93-06)

Related Items (7)

Algorithms for worst case identification in \(\mathcal H_{\infty}\) and in the \(\nu\)-gap metric ⋮ System identification for achieving robust performance ⋮ A convex optimization algorithm for frequency‐domain identification in the v‐gap metric ⋮ L₂-optimal identification of MIMO errors-in-variables models from the v-gap geometrical interpretation ⋮ On validating closed-loop behaviour from noisy frequency-response measurements ⋮ An improved computationally efficient identification method for errors-in-variables models based on v-gap optimisation ⋮ Robust control oriented identification of errors-in-variables models based on normalised coprime factors

Cites Work

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• A class of algorithms for identification in \(\mathcal H_{\infty}\)
• Algorithms for worst case identification in \(\mathcal H_{\infty}\) and in the \(\nu\)-gap metric
• Worst-case control-relevant identification
• Frequency domain uncertainty and the graph topology
• Control oriented system identification: a worst-case/deterministic approach in H/sub infinity /
• Robust identification of strongly stabilizable systems
• A linear matrix inequality approach to H_∞ control
• Fast identification n-widths and uncertainty principles for LTI and slowly varying systems
• Modeling of normalized coprime factors with ν-metric uncertainty
• Worst case system identification in H/sub ∞/: validation of a priori information, essentially optimal algorithms, and error bounds

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