2014 European Control Conference (ECC) 2014
DOI: 10.1109/ecc.2014.6862613
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Identification of an LFT uncertainty model by minimizing the ν-gap metric

Abstract: An uncertainty model in the form of a linear fractional transformation (LFT) is composed of a nominal model augmented by an uncertainty description. The size of the uncertainty required to cover a given set of models depends not only on the set of models, but also on the nominal model. Thus, the size of the uncertainty can be minimized by choosing the nominal model optimally according to some metric. If the uncertainty model is to be used for control design, a suitable metric is the -gap metric. It is shown t… Show more

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Cited by 1 publication
(6 citation statements)
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“…As can be seen, the singular values of the model identified by the new algorithm and the system nominal model have similar behaviours. [18], is a distillation column system with pure delay and ill-conditioned and a nearly singular transfer function matrix. In this example, frequency responses in six operating conditions are used for identification.…”
Section: Simulation Resultsmentioning
confidence: 99%
See 4 more Smart Citations
“…As can be seen, the singular values of the model identified by the new algorithm and the system nominal model have similar behaviours. [18], is a distillation column system with pure delay and ill-conditioned and a nearly singular transfer function matrix. In this example, frequency responses in six operating conditions are used for identification.…”
Section: Simulation Resultsmentioning
confidence: 99%
“…Example The second example, selected from [18], is a distillation column system with pure delay and ill‐conditioned and a nearly singular transfer function matrix. In this example, frequency responses in six operating conditions are used for identification.…”
Section: Simulation Resultsmentioning
confidence: 99%
See 3 more Smart Citations