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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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Journal ArticleDOI

Modeling of linear fading memory systems

TL;DR: This work considers various classes of linear time-varying bounded-input-bounded output (BIBO) stable fading memory systems and the characterizations are proved and it is shown that the norm and strong convergence coincide for BIBO stable causal fadingMemory systems.
Proceedings ArticleDOI

Closed-loop model validation; an application to an unstable experimental system

TL;DR: In this article, a model validation technique based on closed-loop, sampled, experimental data, which is applicable to open-loop unstable systems, is presented, and sufficient conditions are also derived using decimated data sets to alleviate the computation problem.
Proceedings ArticleDOI

Uncertainty Identification for a Nominal LPV Vehicle Model Based on Experimental Data

TL;DR: In this paper, a practical method is presented for modelling uncertainty of a nominal linear parameter-varying (LPV) vehicle model, which is motivated by the problem of steering a vehicle by alternately braking the front wheels in emergency situations.
Proceedings ArticleDOI

Computer-aided uncertainty modeling of nonlinear parameter-dependent systems. I. Theoretical overview

TL;DR: An overview of uncertainty modeling methods and software tools being developed for application to mixed uncertainty systems is provided, which provides a computer-aided uncertainty modeling capability that makes current robust and LPV control methods accessible to a broad class of practical problems.
Journal ArticleDOI

Uncertainty Model Unfalsification

TL;DR: In this paper, the bounds are determined from finite data for specified types of sets useful for robust control design, and the bounds can be used to design robust control models for uncertain systems.
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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