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Asymptotic stability of interconnected passive non-linear systems

✍ Scribed by A. Isidori; S. M. Joshi; A. G. Kelkar

Publisher: John Wiley and Sons
Year: 1999
Tongue: English
Weight: 116 KB
Volume: 9
Category: Article
ISSN: 1049-8923
DOI: 10.1002/(sici)1099-1239(19990430)9:5<261::aid-rnc403>3.0.co;2-v

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✦ Synopsis

This paper addresses the problem of stabilization of a class of internally passive non-linear time-invariant dynamic systems. A class of non-linear marginally strictly passive (MSP) systems is defined, which is less restrictive than input-strictly passive systems. It is shown that the interconnection of a non-linear passive system and a non-linear MSP system is globally asymptotically stable. The result generalizes and weakens the conditions of the passivity theorem, which requires one of the systems to be input-strictly passive. In the case of linear time-invariant systems, it is shown that the MSP property is equivalent to the marginally strictly positive real (MSPR) property, which is much simpler to check.

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