Iterative Greedy LMI for Sparse Control

نویسندگان

چکیده

In this letter, we propose a novel method to find matrices that satisfy sparsity and LMI (linear matrix inequality) constraints at the same time. This problem appears in sparse control design such as representation of state feedback gain, graph with fastest mixing, FIR (finite impulse response) filter design, name few. We an efficient algorithm for solution based on Dykstra's projection algorithm. then prove convergence theorem proposed algorithm, show some examples illustrate merits demerits method.

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ژورنال

عنوان ژورنال: IEEE Control Systems Letters

سال: 2022

ISSN: ['2475-1456']

DOI: https://doi.org/10.1109/lcsys.2021.3087964