Emergency control of unstable behavior of nonlinear systems induced by fault

This paper presents the emergency control approach intended to urgently return to the stability basin the system states affected by abrupt changes in certain system coefficients on a short time interval. Because of its short duration, the modeling of both the fault and controller involves δ -functio...

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Main Authors: Mark A. Pinsky, Michael V. Basin
Format: Article
Language:English
Published: Hindawi Limited 1998-01-01
Series:Mathematical Problems in Engineering
Subjects:
Online Access:http://dx.doi.org/10.1155/S1024123X98000854
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spelling doaj-0b04423ee4e84d91b3cc9d75babea7f72020-11-24T21:57:48ZengHindawi LimitedMathematical Problems in Engineering1024-123X1563-51471998-01-014430131610.1155/S1024123X98000854Emergency control of unstable behavior of nonlinear systems induced by faultMark A. Pinsky0Michael V. Basin1University of Nevada at Reno, Department of Mathematics – 084, Reno 89557-0045, NV, USAUniversity of Nevada at Reno, Department of Mathematics – 084, Reno 89557-0045, NV, USAThis paper presents the emergency control approach intended to urgently return to the stability basin the system states affected by abrupt changes in certain system coefficients on a short time interval. Because of its short duration, the modeling of both the fault and controller involves δ -functions significantly simplifying analysis and control of fault phenomena. The design of an mergency controller is based on the technique for computing fault-induced jumps of the system states, which is described in the paper. An emergency controller instantaneously returning states of a sample nonlinear system to its stability basin is designed.http://dx.doi.org/10.1155/S1024123X98000854Nonlinear systems; Emergency control; Fault modeling.
collection DOAJ
language English
format Article
sources DOAJ
author Mark A. Pinsky
Michael V. Basin
spellingShingle Mark A. Pinsky
Michael V. Basin
Emergency control of unstable behavior of nonlinear systems induced by fault
Mathematical Problems in Engineering
Nonlinear systems; Emergency control; Fault modeling.
author_facet Mark A. Pinsky
Michael V. Basin
author_sort Mark A. Pinsky
title Emergency control of unstable behavior of nonlinear systems induced by fault
title_short Emergency control of unstable behavior of nonlinear systems induced by fault
title_full Emergency control of unstable behavior of nonlinear systems induced by fault
title_fullStr Emergency control of unstable behavior of nonlinear systems induced by fault
title_full_unstemmed Emergency control of unstable behavior of nonlinear systems induced by fault
title_sort emergency control of unstable behavior of nonlinear systems induced by fault
publisher Hindawi Limited
series Mathematical Problems in Engineering
issn 1024-123X
1563-5147
publishDate 1998-01-01
description This paper presents the emergency control approach intended to urgently return to the stability basin the system states affected by abrupt changes in certain system coefficients on a short time interval. Because of its short duration, the modeling of both the fault and controller involves δ -functions significantly simplifying analysis and control of fault phenomena. The design of an mergency controller is based on the technique for computing fault-induced jumps of the system states, which is described in the paper. An emergency controller instantaneously returning states of a sample nonlinear system to its stability basin is designed.
topic Nonlinear systems; Emergency control; Fault modeling.
url http://dx.doi.org/10.1155/S1024123X98000854
work_keys_str_mv AT markapinsky emergencycontrolofunstablebehaviorofnonlinearsystemsinducedbyfault
AT michaelvbasin emergencycontrolofunstablebehaviorofnonlinearsystemsinducedbyfault
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