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

Bisoffi, A., De Persis, C. & Tesi, P., Nov-2020, In : Systems and Control Letters. 145, 104788.

Research output: Contribution to journalArticleAcademicpeer-review

Motivated by the goal of having a building block in the design of direct 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 underapproximation 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.

Original languageEnglish
Article number104788
JournalSystems and Control Letters
Publication statusPublished - Nov-2020


  • Basin of attraction, Bilinear systems, Direct data-driven control, Linear matrix inequalities, Lyapunov functions

ID: 135934440