Output-Feedback Controller Synthesis for Dissipativity and H₂ Performance of Autoregressive Systems from Noisy Input-Output Data

2026/04/01 by Pietro Kristović, Andrej Jokić, Mircea Lazar · 1 citation
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Abstract

In this paper we propose a data-driven output-feedback controller synthesis method for discrete-time linear time-invariant systems in the form of autoregressive model with exogenous input. The synthesis goal is either to achieve dissipativity with respect to a given quadratic supply rate, or to achieve given H₂ performance level. It is assumed that the model of the plant is unknown, except for the disturbance term. To compensate for the lack of model knowledge, we have a recorded trajectory of the controlled input and the output available for control, which can be corrupted by an unknown but bounded disturbance. Derived controller synthesis method is in the form of linear matrix inequalities and is nonconservative within the considered problem setting.

Citations

• Dynamic Output-Feedback Controller Synthesis for Dissipativity and H₂ Performance from Noisy Input-State Data
• Combining Prior Knowledge and Data for Robust Controller Design
• Provably Robust Verification of Dissipativity Properties from Data

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• Dynamic Output-Feedback Controller Synthesis for Dissipativity and H₂ Performance from Noisy Input-Output Data

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