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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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Proceedings ArticleDOI

Control of mixing and reactive flow processes

TL;DR: In this paper, the potential benefits and technical challenges for mixing and combustion control in fundamental as well as practical systems and to identify promising research directions that could help meet these challenges are outlined.
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l/sub 1/ identification applied to a fluid dynamics problem

TL;DR: An application of robust identification techniques to a fluid dynamics problem is presented and it is shown that for a given Reynolds number, the nondelayed dynamics can be considered as linear and infinite dimensional.
Proceedings ArticleDOI

Model falsification using SVOs for a class of discrete-time dynamic systems: A coprime factorization approach

TL;DR: This paper introduces a new method for model falsification using Set-Valued Observers (SVOs), which can be applied to a class of discrete Linear Time-Invariant dynamic systems with time-varying model uncertainties, including open-loop unstable plants.
Proceedings ArticleDOI

Accurate $\mathcal{H}_{\infty}$-Norm Estimation via Finite-Frequency Norms of Local Parametric Models

TL;DR: In this paper, a frequency response-based approach is pursued, and local modeling techniques are exploited to include the inter-grid behavior to estimate the global norm by estimating the finite-frequency L ∞ norm of the local models through the generalized KYP lemma.
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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