Optimal Decentralized Control for Uncertain Systems by Symmetric Gauss–Seidel Semi-Proximal ALM

نویسندگان

چکیده

The $\mathcal {H}_2$ -guaranteed cost decentralized control problem is investigated in this article. More specifically, on the basis of an appropriate reformulation that we put place, optimal presence parameter uncertainties then suitably characterized by convex restriction and solved space. It shown a set stabilizing controller gains for uncertain system parameterized through restriction, approximated conic optimization constructed. This facilitates use symmetric Gauss–Seidel (sGS) semi-proximal augmented Lagrangian method (ALM), which attains high computational effectiveness. A comprehensive analysis given application approach solving problem; subsequently, preserved structure, robust stability, performance are all guaranteed with proposed methodology. Furthermore, illustrative example presented to demonstrate effectiveness approach.

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ژورنال

عنوان ژورنال: IEEE Transactions on Automatic Control

سال: 2021

ISSN: ['0018-9286', '1558-2523', '2334-3303']

DOI: https://doi.org/10.1109/tac.2021.3052768