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Static output feedback control for positive linear continuous‐time systems
Author(s) -
Wang Cuihong,
Huang Tianmin
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.2836
Subject(s) - control theory (sociology) , output feedback , controller (irrigation) , linear matrix inequality , linear system , computer science , basis (linear algebra) , matrix (chemical analysis) , control (management) , mathematics , mathematical optimization , mathematical analysis , materials science , geometry , artificial intelligence , agronomy , composite material , biology
SUMMARY This paper studies the problem of designing the static output feedback controller for the positive linear continuous‐time systems. On the basis of a system augmentation approach, a novel characterization on the stable condition of the closed‐loop system is firstly established. Then, a necessary and sufficient condition is given to ensure the existence of the desired static output feedback controller, and an iterative linear matrix inequality algorithm is presented to compute the feedback gain matrix. Finally, a numerical example is provided to illustrate the effectiveness of the proposed method. Copyright © 2012 John Wiley & Sons, Ltd.