A Unified Approach to High-Gain Adaptive Controllers | Zendy

Ian Gravagne | Zendy; John M. Davis | Zendy; Jeffrey J. DaCunha | Zendy

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A Unified Approach to High-Gain Adaptive Controllers

Author(s) -

Ian Gravagne,

John M. Davis,

Jeffrey J. DaCunha

Publication year - 2009

Publication title -

abstract and applied analysis

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.228

H-Index - 56

eISSN - 1687-0409

pISSN - 1085-3375

DOI - 10.1155/2009/198353

Subject(s) - control theory (sociology) , high gain antenna , mathematics , adaptive control , monotonic function , controller (irrigation) , automatic gain control , stability (learning theory) , gain scheduling , computer science , control (management) , bandwidth (computing) , mathematical analysis , agronomy , amplifier , computer network , artificial intelligence , machine learning , biology , physics , optics

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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