A design scheme of variable structure adaptive control for uncertain dynamic systems
type: Item
instance of: scholarly article
title: A design scheme of variable structure adaptive control for uncertain dynamic systems
zbMATH Open document ID: 0847.93007
DOI: 10.1016/0005-1098(95)00192-1
author: Chunbo Feng
author: Yuqiang Wu
published in: Automatica
publication date: 1996-10-07T00:00:00Z
review text: A model reference adaptive control (MRAC) scheme that can guarantee global asymptotic stability for systems without unstable zeros and unmodeled dynamics was proposed more than fifteen years ago. This was regarded as a landmark development of MRAC theory, but it was soon shown that this scheme cannot always guarantee global asymptotic stability if unmodeled dynamics and bounded external disturbances are present. Since then, many modified MRAC schemes have been proposed. The authors of this paper propose a design scheme of adaptive control with variable structure for linear time-invariant systems with unmodeled or uncertain dynamics. Both additive and multiplicative unmodeled dynamics are considered. The transfer function of the modeled part of the plant is allowed to have unstable zeros and unstable poles. A sign-following system and logic switchings are introduced into the control system; these improve the robustness of adaptive control and simplify the algorithm. The authors prove the global stability of the overall system. They also provide simulation results which show the effectiveness of their methods.
Mathematics Subject Classification ID: 93B12
Mathematics Subject Classification ID: 93C40
Mathematics Subject Classification ID: 93B51
zbMATH DE Number: 885864
zbMATH Keywords: model reference adaptive control
zbMATH Keywords: design
zbMATH Keywords: adaptive control
zbMATH Keywords: variable structure
zbMATH Keywords: sign-following
zbMATH Keywords: logic switchings
zbMATH Keywords: global stability
reviewed by: William J. Satzer Jr.
MaRDI profile type: Publication
full work available at URL: 0005-1098(95)00192-1
OpenAlex ID: W2012307493
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description: scientific article; zbMATH DE number 885864