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Sufficient conditions for the synthesis of H ∞ fixed‐order controllers
Author(s) -
Mattei Massimiliano
Publication year - 2000
Publication title -
international journal of robust and nonlinear control
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.361
H-Index - 106
eISSN - 1099-1239
pISSN - 1049-8923
DOI - 10.1002/1099-1239(20001230)10:15<1237::aid-rnc512>3.0.co;2-k
Subject(s) - linear matrix inequality , controller (irrigation) , mathematical optimization , order (exchange) , convex optimization , mathematics , control theory (sociology) , regular polygon , matrix (chemical analysis) , computer science , control (management) , finance , artificial intelligence , economics , materials science , geometry , agronomy , composite material , biology
This brief note deals with the synthesis of H ∞ fixed‐order controllers for linear systems. It is well known that this problem can be formulated as a bilinear matrix inequality optimization problem which is non convex and NP hard to solve. In this paper sufficient conditions are provided which allow to convert the controller design into a linear matrix inequality feasibility problem. A numerical example on a practical control problem shows the application of the proposed technique. Copyright © 2000 John Wiley & Sons, Ltd.