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Improved Controller Design for Uncertain Positive Systems and its Extension to Uncertain Positive Switched Systems
Author(s) -
Zhang Junfeng,
Zhao Xudong,
Zhang Ridong,
Chen Yun
Publication year - 2018
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.1553
Subject(s) - control theory (sociology) , controller (irrigation) , positive feedback , extension (predicate logic) , component (thermodynamics) , mathematics , element (criminal law) , zero (linguistics) , positive systems , simple (philosophy) , matrix (chemical analysis) , computer science , linear system , control (management) , engineering , artificial intelligence , mathematical analysis , physics , philosophy , materials science , law , linguistics , composite material , biology , epistemology , political science , agronomy , thermodynamics , programming language , electrical engineering
This paper is concerned with the controller design of uncertain positive systems. First, we decompose the feedback gain matrix K m × n into m × n non‐negative components and m × n non‐positive components. For the non‐negative components, each component contains only one positive element and the other elements are zero. Similarly, each non‐positive component contains only one negative element and the other ones are zero. Then, a simple and effective controller design approach of uncertain positive systems is proposed by incorporating the decomposed feedback gain matrix into the resulting closed‐loop systems and further applied to uncertain positive switched systems. It is shown that the designed controller is less conservative compared with those in the literature. Finally, a numerical example is provided to verify the validity of the proposed design.