Robust identification and Galois sequences

DOI10.1080/00207179108934204zbMath0742.93017OpenAlexW2088644390MaRDI QIDQ3979751

Pertti M. Mäkilä

Publication date: 26 June 1992

Published in: International Journal of Control (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207179108934204

zbMATH Keywords

Chebyshev identification methodfinite pulse response models

Mathematics Subject Classification ID

System identification (93B30) Linear systems in control theory (93C05)

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Convergence analysis of central and minimax algorithms in scalar regressor models ⋮ The least-squares identification of FIR systems subject to worst-case noise ⋮ Properties of least squares estimates in set membership identification ⋮ Worst-case identification of nonlinear fading memory systems ⋮ Analysis of linear methods for robust identification in \(\ell_ 1\) ⋮ Consistent parameter bounding identification for linearly parametrized model sets ⋮ Model quality evaluation in set membership identification ⋮ Robust identification for rational fractional transfer functions ⋮ Identification and control -- Closed-loop issues ⋮ Estimation of model quality ⋮ Worst-case control-relevant identification ⋮ Modelling of uncertain systems via linear programming ⋮ On input design in \(\ell_{\infty}\) conditional set membership identification ⋮ Subspace-based identification of infinite-dimensional multivariable systems from frequency-response data ⋮ On the worst-case divergence of the least-squares algorithm ⋮ Representation and identification of non-parametric nonlinear systems of short term memory and low degree of interaction ⋮ A stochastic analysis of robust estimation algorithms inH_∞with rational basis functions ⋮ Worst-case analysis of the least-squares method and related identification methods ⋮ Worst-case identification in Banach spaces ⋮ Robustness in \(H_\infty\) identification ⋮ Worst case system identification in \(\ell{}_ 1\): Optimal algorithms and error bounds ⋮ The sample complexity of worst-case identification of FIR linear systems ⋮ Algorithms for robust identification in \({\mathcal H}_\infty\) with nonuniformly spaced frequency response data ⋮ Complexity of identification of linear systems with rational transfer functions ⋮ On the optimal worst-case experiment design for constrained linear systems ⋮ The least squares algorithm, parametric system identification and bounded noise ⋮ Worst-case identification in \(\ell_ 2\): Linear and nonlinear algorithms

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• Linear Control Theory with an ${\bf H}_\infty $ Optimality Criterion
• Feedback and optimal sensitivity: Model reference transformations, multiplicative seminorms, and approximate inverses
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• Algorithm 495: Solution of an Overdetermined System of Linear Equations in the Chebychev Norm [F4]

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