2023
DOI: 10.3390/fractalfract7060468
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Factorized Doubling Algorithm for Large-Scale High-Ranked Riccati Equations in Fractional System

Abstract: In real-life control problems, such as power systems, there are large-scale high-ranked discrete-time algebraic Riccati equations (DAREs) from fractional systems that require stabilizing solutions. However, these solutions are no longer numerically low-rank, which creates difficulties in computation and storage. Fortunately, the potential structures of the state matrix in these systems (e.g., being banded-plus-low-rank) could be beneficial for large-scale computation. In this paper, a factorized structure-pres… Show more

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