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Data-driven Optimal Pole Placement via Sylvester Equations

Year: 2025
Type: conference-paper
Abstract: This paper proposes a data-driven framework for optimal pole placement, in which the objective function is defined as a weighted sum of a robustness measure of pole placement and the Frobenius norm of the feedback gain. To derive the optimization algorithm, we propose data-driven methods for solving Sylvester equations, where data-based expressions of Sylvester equations are introduced. By utilizing this result, a gradient-based optimization algorithm is presented. The effectiveness of the proposed algorithm is demonstrated through a numerical example.
Institution: Kyoto University
Language: English
Open Access status: diamond
OpenAlex ID: W7125600619
FWCI:
Cites: 14
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