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On static output‐feedback stabilization for multi‐input multi‐output positive systems
Author(s) -
Shen Jun,
Lam James
Publication year - 2014
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.3256
Subject(s) - output feedback , matrix (chemical analysis) , convex optimization , mathematical optimization , computer science , duality (order theory) , class (philosophy) , regular polygon , linear programming , control theory (sociology) , mathematics , control (management) , combinatorics , materials science , geometry , artificial intelligence , composite material
Summary This paper revisits the static output‐feedback stabilization problem for positive systems. We first point out that for a class of positive systems whose output matrix has a particular row echelon form, this problem can be completely solved via linear programming. By duality, the result is also valid when the column echelon form of the input matrix has a particular structure. Along this line, by augmenting the output matrix as well as the feedback gain matrix, an iterative convex optimization algorithm is developed for the more general case. Finally, we show that the proposed method has advantages over existing works via several numerical examples. Copyright © 2014 John Wiley & Sons, Ltd.