arXiv Open Access 2020

Data-based stabilization of unknown bilinear systems with guaranteed basin of attraction

Andrea Bisoffi Claudio De Persis Pietro Tesi

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Abstrak

Motivated by the goal of having a building block in the direct design of data-driven controllers for nonlinear systems, we show how, for an unknown discrete-time bilinear system, the data collected in an offline open-loop experiment enable us to design a feedback controller and provide a guaranteed under-approximation of its basin of attraction. Both can be obtained by solving a linear matrix inequality for a fixed scalar parameter, and possibly iterating on different values of that parameter. The results of this data-based approach are compared with the ideal case when the model is known perfectly.

Topik & Kata Kunci

eess.SY math.DS

Penulis (3)

Andrea Bisoffi

Claudio De Persis

Pietro Tesi

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APA MLA BibTeX

Bisoffi, A., Persis, C.D., Tesi, P. (2020). Data-based stabilization of unknown bilinear systems with guaranteed basin of attraction. https://arxiv.org/abs/2004.11630

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Tahun Terbit: 2020
Bahasa: en
Sumber Database: arXiv
Akses: Open Access ✓