Note on Interval Observer Design Based on Positive System Theory

  • Shenghui GuoEmail author
  • Wenyang Zhang
  • Jingyun Xu
Part of the Lecture Notes in Control and Information Sciences book series (LNCIS, volume 480)


This paper surveys interval observer design methods based on positive system theory, and two cases by using linear transformation are considered: (1) time-invariant linear transformation, the main tool is Sylvester equation; (2) time-varying linear transformation, and the Jordan canonical form plays a key role. The conclusion is that the performance of the two methods can be optimized by modifying some matrices in the design process. A numerical example is given to show the validity of our results.


Positive system Interval observer Time-invariant transformation Time-varying transformation 


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© Springer Nature Switzerland AG 2019

Authors and Affiliations

  1. 1.College of Electronics and Information Engineering, Suzhou University of Science and TechnologySuzhouPeople’s Republic of China
  2. 2.Key Laboratory of Control Engineering of Henan ProvinceHenan Polytechnic UniversityJiaozuoPeople’s Republic of China
  3. 3.College of Engineering, Huzhou UniversityHuzhouPeople’s Republic of China

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