✦ LIBER ✦

On the stability of discrete-time systems with hysteretic controllers

✍ Scribed by H. Bhaumik; A.K. Mahalanabis

Publisher: Elsevier Science
Year: 1970
Tongue: English
Weight: 532 KB
Volume: 289
Category: Article
ISSN: 0016-0032
DOI: 10.1016/0016-0032(70)90274-7

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✦ Synopsis

The problem of deriving a frequency-domain su$cient condition for the global asymptotic stability of a discrete-time system having hysteretic controllers is considered. It is suggested that the hysteretic characteristic be replaced by a function of the form f (y, g) where y(t) is the input to the controller. This allows the problem to be reformulated to that of deriving a suflcient condition for the stability of a two-controller system where both the controllers are nonhysteretic. This latter problem is solved by embedding it into a two-variable problem. Numerical examples are presented which illustrate the results.

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