Open Access
2009 A Unified Approach to High-Gain Adaptive Controllers
Ian A. Gravagne, John M. Davis, Jeffrey J. DaCunha
Abstr. Appl. Anal. 2009: 1-13 (2009). DOI: 10.1155/2009/198353


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.


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Ian A. Gravagne. John M. Davis. Jeffrey J. DaCunha. "A Unified Approach to High-Gain Adaptive Controllers." Abstr. Appl. Anal. 2009 1 - 13, 2009.


Published: 2009
First available in Project Euclid: 16 March 2010

zbMATH: 1184.93100
MathSciNet: MR2595164
Digital Object Identifier: 10.1155/2009/198353

Rights: Copyright © 2009 Hindawi

Vol.2009 • 2009
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