期刊
IEEE TRANSACTIONS ON AUTOMATIC CONTROL
卷 67, 期 11, 页码 6053-6059出版社
IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
DOI: 10.1109/TAC.2021.3123245
关键词
Transmission line matrix methods; Linear matrix inequalities; Eigenvalues and eigenfunctions; Observers; Transforms; Time-varying systems; Standards; Interval observer; Metzler matrix; positive system
This article presents a simple, necessary, and sufficient condition for a real matrix to be similar to a Metzler matrix of dimension three, and provides a construction method for the transfer matrix. This construction is utilized to design an interval observer for a family of continuous-time systems. The case of limit cycles in the love dynamics is used as an example for the interval observer design.
A simple, necessary, and sufficient condition ensuring that a real matrix of dimension three is similar to a Metzler matrix is exhibited. When this condition is satisfied, a construction of the transfer matrix is given. This construction is used to design an interval observer for a family of continuous-time systems. An example is provided with interval observer design for the so-called love dynamics in the case of limit cycles
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