Please use this identifier to cite or link to this item: http://repository.vnu.edu.vn/handle/VNU_123/27086
Title: Combining Convex-Concave Decompositions and Linearization Approaches for Solving BMIs, With Application to Static Output Feedback
Authors: Tran Dinh Quoc
Gumussoy, Suat
Michiels, Wim
Keywords: Bilinear matrix inequality (BMI);convex-concave decomposition;linear time-invariant system;semidefinite programming;static feedback controller design
Issue Date: 2012
Publisher: IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC, 445 HOES LANE, PISCATAWAY, NJ 08855-4141 USA
Citation: ISIKNOWLEDGE
Abstract: A novel optimization method is proposed to minimize a convex function subject to bilinear matrix inequality (BMI) constraints. The key idea is to decompose the bilinear mapping as a difference between two positive semidefinite convex mappings. At each iteration of the algorithm the concave part is linearized, leading to a convex subproblem. Applications to various output feedback controller synthesis problems are presented. In these applications, the subproblem in each iteration step can be turned into a convex optimization problem with linear matrix inequality (LMI) constraints. The performance of the algorithm has been bench-marked on the data from the COMPl(e)ib library.
Description: TNS06874 ; IEEE TRANSACTIONS ON AUTOMATIC CONTROL Volume: 57 Issue: 6 Pages: 1377-1390 Published: JUN 2012
URI: http://repository.vnu.edu.vn/handle/VNU_123/27086
ISSN: 0018-9286
Appears in Collections:Bài báo của ĐHQGHN trong Web of Science

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