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论文类型： 期刊论文

发表时间： 2018-01-01

发表刊物： ASIAN JOURNAL OF CONTROL

收录刊物： SCIE、EI、Scopus

卷号： 20

期号： 1

页面范围： 159-173

ISSN号： 1561-8625

关键字： Positive systems; controller design; positive switched systems; linear programming

摘要： 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.