New results on positive realness in the presence of delayed dynamics
De la Sen, Manuel (Universidad del País Vasco. Departamento de Electricidad y Electrónica)
Ibeas, Asier (Universitat Autònoma de Barcelona. Departament de Telecomunicació i Enginyeria de Sistemes)

Date:	2019
Abstract:	Positive realness is a very important tool for the achievement of hyperstability and passivity of dynamic systems. This paper is devoted to extend some positive realness results of transfer functions in the presence of point-delayed delayed dynamics. Sufficiency-type conditions which guarantee the positive realness of delayed transfer functions under point delays are given. The value of the direct input-output interconnection gain is seen to be crucial in the performed analysis. The relevance of the results in potential applications rely in the importance of the hyperstability property of closed-loop systems under non-linear and time-varying controller devices. In fact, if the feed-forward controlled plant has a strictly positive real transfer function, then the closed-loop system is asymptotically hyperstable, that is, globally asymptotically Lyapunov's stable for any non-linear time-varying controller which belongs to a hyperstable class defined as that which satisfies a Popov's type inequality.
Grants:	Ministerio de Economía y Competitividad DPI2016-77271-R Ministerio de Economía y Competitividad DPI2015-64766-R
Rights:	Aquest document està subjecte a una llicència d'ús Creative Commons. Es permet la reproducció total o parcial, la distribució, i la comunicació pública de l'obra, sempre que no sigui amb finalitats comercials, i sempre que es reconegui l'autoria de l'obra original. No es permet la creació d'obres derivades.
Language:	Anglès
Document:	Article ; recerca ; Versió publicada
Subject:	Hyperstability ; Point internal and external delays ; Positive realness ; Transfer function
Published in:	Engineering Journal, Vol. 23, Issue 1 (January 2019) , p. 75-94, ISSN 0125-8281

DOI: 10.4186/ej.2019.23.1.75

20 p, 811.1 KB

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