Note on Interval Observer Design Based on Positive System Theory
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.
KeywordsPositive system Interval observer Time-invariant transformation Time-varying transformation