Improved Controller Design for Positive Systems and Its Application to Positive Switched Systems

Part of the Lecture Notes in Control and Information Sciences book series (LNCIS, volume 471)


This chapter will address a new controller design approach for positive systems. First, we decompose the feedback gain matrix \(K_{m\times n}\) into \(m\times n\) nonnegative components and \(m\times n\) non-positive components. For the nonnegative components, each component contains only one positive element and the other ones are zero. Similarly, each non-positive component contains only one negative element and the other ones are zero. Then, a simple but effective controller design of positive systems is proposed by incorporating the decomposed feedback gain matrix into the resulting closed-loop systems. The present approach is thus applied to positive switched systems. It is shown that the designed controller for positive switched systems is less conservative than those ones in the literature.


Positive systems Controller design Linear programming Positive switched systems. 



This work was supported in part by the National Nature Science Foundation of China (61503107, 61503105, 61473107, U1509203, U1509205), the Zhejiang Provincial Natural Science Foundation of China (LY16F030005, LR16F030003).


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© Springer International Publishing AG 2017

Authors and Affiliations

  1. 1.Key Lab for IOT and Information Fusion Technology of ZhejiangHangzhou Dianzi UniversityHangzhouChina
  2. 2.Institute of Information and Control, School of AutomationHangzhou Dianzi UniversityHangzhouChina

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