When is a Matrix of Dimension Three Similar to a Metzler Matrix? Application to Interval Observer Design

• 成果类型: Article
• 署名作者: Mazenc, Frederic; Bernard, Olivier
• 署名单位: Universite Paris Saclay; INRAE
• 刊物名称: IEEE TRANSACTIONS ON AUTOMATIC CONTROL
• ISSN/ISSBN: 0018-9286
• DOI: 10.1109/TAC.2021.3123245
• 发表日期: 2022
• 页码: 6053-6059
• 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

摘要

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