LAUSR

This paper is concerned with the controller design of uncertain positive systems. First, we decompose the feedback gain matrix Km×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.