Frequency-domain data-driven control design in the Loewner framework

Kergus, Pauline; Poussot-Vassal, Charles; Demourant, Fabrice; Formentin, Simone

doi:10.1016/j.ifacol.2017.08.531

Cited by 11 publications

(26 citation statements)

References 9 publications

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“…That is how model reduction is done through the Loewner framework. In [11], the controller model is directly reduced to the objective order n but then the obtained controller is not necessarily stable and its poles can be affected by the noise.…”

Section: Preliminary Results: Loewner-basedmentioning

confidence: 99%

“…As detailed in [11], the L-DDC algorithm allows to identify a controller, without any a priori structure. The specifications are expressed as a reference transfer function M which represents the desired behavior in closed-loop.…”

Section: Problem Formulationmentioning

confidence: 99%

“…This was not possible in the original version of the L-DDC algorithm proposed in [11] but, in this paper, we propose to use the algorithm introduced in [14] to ensure the stability of the identified controller. Note that this algorithm has already been combined with the Loewner framework in [16] in the area of model reduction.…”

Section: A Enforcing Stability Of the Controllermentioning

confidence: 99%

“…Another method is the L-DDC algorithm, originally proposed in [11]. This is a one shot method based on frequencydomain data that does not require a initial stabilizing controller.…”

Section: Introductionmentioning

confidence: 99%

“…Then, the proposed method to design a controller on the basis of frequencydomain data is exposed in Section IV. In comparison with [11], the main contribution is to allow to treat noisy data and to enforce the stability of the controller, these two aspects are detailed in Section IV. Finally, an academic example is considered in Section V to illustrate the method.…”

Section: Introductionmentioning

confidence: 99%

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Data-driven control design in the Loewner framework: Dealing with stability and noise

Kergus

Formentin

Poussot-Vassal

et al. 2018

2018 European Control Conference (ECC)

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The L-DDC (Loewner Data Driven Control) algorithm is a data-driven controller design method based on frequency-domain input-output data. The identification of the plant is skipped and the controller is designed directly from the measurements using the Loewner approach, known for model approximation and reduction. However, in the L-DDC method, the identified controller is not guaranteed to be stable and the effect of noise on the identified controller is unknown. In this article, we ensure the stability of the controller and propose a solution to deal with noisy data. The method is validated on a numerical example.

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Section: Preliminary Results: Loewner-basedmentioning

confidence: 99%

Section: Problem Formulationmentioning

confidence: 99%

Section: A Enforcing Stability Of the Controllermentioning

confidence: 99%

“…Another method is the L-DDC algorithm, originally proposed in [11]. This is a one shot method based on frequencydomain data that does not require a initial stabilizing controller.…”

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations