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Iterative H 2 ‐conic controller synthesis
Author(s) -
Bridgeman Leila Jasmine,
Forbes James Richard
Publication year - 2019
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/rnc.4581
Subject(s) - conic section , conic optimization , control theory (sociology) , norm (philosophy) , mathematical optimization , controller (irrigation) , convex optimization , linear matrix inequality , mathematics , regular polygon , computer science , control (management) , convex combination , agronomy , geometry , artificial intelligence , law , political science , biology
Summary This paper proposes a method to synthesize controllers that minimize an upper bound on the closed‐loopH 2 ‐norm while imposing desired controller conic bounds. An initial conic controller is synthesized and iteratively improved. Conic sectors can be used to characterize a variety of input‐output properties, such as gain, phase, and minimum gain. If such plant properties hold robustly to uncertainty present, then closed‐loop stability can be ensured robustly via the Conic Sector Theorem by imposing desired controller conic bounds. Consequently, this paper provides a versatile optimal and robust controller synthesis method. Moreover, it relies only on the solution of convex optimization problems subject to linear matrix inequality constraints, making it readily implementable.