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Open AccessJournal ArticleDOI

Model validation: a connection between robust control and identification

TLDR
The model validation problem addressed is: given experimental data and a model with both additive noise and norm-bounded perturbations, is it possible that the model could produce the observed input-output data?
Abstract
The gap between the models used in control synthesis and those obtained from identification experiments is considered by investigating the connection between uncertain models and data. The model validation problem addressed is: given experimental data and a model with both additive noise and norm-bounded perturbations, is it possible that the model could produce the observed input-output data? This problem is studied for the standard H/sub infinity // mu framework models. A necessary condition for such a model to describe an experimental datum is obtained. For a large class of models in the robust control framework, this condition is computable as the solution of a quadratic optimization problem. >

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Book ChapterDOI

A note on H ∞ system identification with probabilistic apriori information

TL;DR: It is shown that the Probabilistic H∞ problem is equivalent to a worst case problem that is constructed from the probabilistic one and allows near optimal algorithms to be constructed for the probablistic H ∞, identification problem.
Proceedings ArticleDOI

Coprime factor based closed-loop model validation

TL;DR: In this paper, the authors provide a formal definition of the model validation problem and provide more details on an uncertainty model that consists of a nominal model and an additional model uncertainty or allowable model perturbation.
Journal ArticleDOI

Model Validation: A Novel Approach to Fault Detection

TL;DR: In this paper, the authors address a fault detection application of model validation using the l1 formulation, in which deterministic bounds on model uncertainty are assumed on the minimum disturbance and perturbation consistent with observed data.
Journal ArticleDOI

Self-Tuning Control by Model Unfalsification

TL;DR: In this article, a non-stochastic framework based on model unfalsification is proposed for self-tuning control, which combines model-falsification with the application of a controller with the best robust performance.
References
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Analysis of feedback systems with structured uncertainties

TL;DR: In this article, a general approach for analysing linear systems with structured uncertainty based on a new generalised spectral theory for matrices is introduced, which naturally extend techniques based on singular values and eliminate their most serious difficulties.
Proceedings ArticleDOI

Structured uncertainty in control system design

TL;DR: This paper reviews control system analysis and synthesis techniques for robust performance with structured uncertainty in the form of multiple unstructured perturbations and parameter variations in the case where parameter variations are known to be real.
Journal ArticleDOI

Control oriented system identification: a worst-case/deterministic approach in H/sub infinity /

TL;DR: The authors formulate and solve two related control-oriented system identification problems for stable linear shift-invariant distributed parameter plants, each involving identification of a point sample of the plant frequency response from a noisy, finite, output time series obtained in response to an applied sinusoidal input.
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