Combining Convex-Concave Decompositions and Linearization Approaches for Solving BMIs, With Application to Static Output Feedback

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 l...

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Bibliographic Details
Published in:	IEEE transactions on automatic control Vol. 57; no. 6; pp. 1377 - 1390
Main Authors:	Quoc Tran Dinh, Gumussoy, S., Michiels, W., Diehl, M.
Format:	Journal Article
Language:	English
Published:	New York, NY IEEE 01.06.2012 Institute of Electrical and Electronics Engineers The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subjects:	Algorithms Applied sciences Benchmarking Bilinear matrix inequality (BMI) Bismaleimides Computer science; control theory; systems Control system analysis Control system synthesis Control theory. Systems Convergence Convex functions convex-concave decomposition Decomposition Exact sciences and technology Inequalities Linear matrix inequalities linear time-invariant system Mapping Matrix decomposition Optimization Output feedback Programming semidefinite programming static feedback controller design Vectors linear time-invariant system Feedback regulation Control synthesis Semi definite programming Matrix inequality Bilinear form Convex programming Optimization convex―concave decomposition semidefinite programming Linear time invariant system static feedback controller design Bilinear matrix inequality (BMI) Linear matrix inequality Convex function Bilinear transform Output feedback Linearization
ISSN:	0018-9286, 1558-2523
Online Access:	Get full text
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