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Multi‐objective state feedback control for linear delay systems
Author(s) -
Xie Wei,
Eisaka Toshio
Publication year - 2010
Publication title -
asian journal of control
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.769
H-Index - 53
eISSN - 1934-6093
pISSN - 1561-8625
DOI - 10.1002/asjc.212
Subject(s) - control theory (sociology) , linear matrix inequality , state (computer science) , lyapunov function , mathematics , controller (irrigation) , full state feedback , state variable , feedback control , control (management) , output feedback , matrix (chemical analysis) , computer science , mathematical optimization , nonlinear system , engineering , control engineering , algorithm , physics , quantum mechanics , artificial intelligence , agronomy , biology , thermodynamics , materials science , composite material
Abstract This paper provides new linear matrix inequalities (LMI)‐based formulae for mixed H 2 /H ∞ state‐feedback synthesis of linear continuous‐time systems with state delays of any size. The proposed delay‐independent LMI‐based conditions enable us to parameterize a memoryless state‐feedback controller without involving the Lyapunov variables in the formula. Compared with previous results based on a common Lyapunov variable, the proposed formula provides less conservative results. Copyright © 2010 John Wiley and Sons Asia Pte Ltd and Chinese Automatic Control Society