Title of Paper:Improved Controller Design for Uncertain Positive Systems and its Extension to Uncertain Positive Switched Systems

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Date of Publication:2018-01-01

Journal:ASIAN JOURNAL OF CONTROL

Included Journals:SCIE、EI、Scopus

Volume:20

Issue:1

Page Number:159-173

ISSN No.:1561-8625

Key Words:Positive systems; controller design; positive switched systems; linear programming

Abstract:This paper is concerned with the controller design of uncertain positive systems. First, we decompose the feedback gain matrix K-mxn into mxn non-negative components and mxn 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.