TITLE

A Unified Approach to High-Gain Adaptive Controllers

AUTHOR(S)
Gravagne, Ian A.; Davis, John M.; DaCunha, Jeffrey J.
PUB. DATE
January 2009
SOURCE
Abstract & Applied Analysis;2009, Special section p1
SOURCE TYPE
Academic Journal
DOC. TYPE
Article
ABSTRACT
It has been known for some time that proportional output feedback will stabilize MIMO, minimum-phase, linear time-invariant systems if the feedback gain is sufficiently large. High-gain adaptive controllers achieve stability by automatically driving up the feedback gain monotonically. More recently, it was demonstrated that sample-and-hold implementations of the high-gain adaptive controller also require adaptation of the sampling rate. In this paper, we use recent advances in the mathematical field of dynamic equations on time scales to unify and generalize the discrete and continuous versions of the high-gain adaptive controller.We prove the stability of high-gain adaptive controllers on a wide class of time scales.
ACCESSION #
55252782

 

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