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Decentralized state feedback robust H ∞ control using a differential evolution algorithm
Author(s) -
Harno Hendra G.,
Petersen Ian R.
Publication year - 2012
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.2884
Subject(s) - diagonal , control theory (sociology) , state (computer science) , controller (irrigation) , riccati equation , differential (mechanical device) , linear quadratic regulator , algebraic number , mathematics , class (philosophy) , block (permutation group theory) , algebraic riccati equation , scale (ratio) , computer science , optimal control , differential equation , mathematical optimization , control (management) , algorithm , engineering , physics , mathematical analysis , combinatorics , quantum mechanics , geometry , artificial intelligence , aerospace engineering , agronomy , biology
SUMMARY This paper presents a new method to synthesize a decentralized state feedback robust H ∞ controller for a class of large‐scale linear uncertain systems satisfying integral quadratic constraints. The decentralized controller is constructed by taking only block‐diagonal elements of a nondecentralized state feedback controller and treating neglected off‐diagonal blocks as uncertainties. A solution to this controller synthesis problem is given in terms of a stabilizing solution to a parametrized algebraic Riccati equation where the parameters are obtained using a differential evolution algorithm.Copyright © 2012 John Wiley & Sons, Ltd.