Study and Application of State Estimator for Time-Delay Systems with State Saturation Nonlinearities

Study and Application of State Estimator for Time-Delay Systems with State Saturation Nonlinearities

The design and application of state estimator for a class of time-delay systems with state saturation nonlinearities are firstly explored. Based on the Lyapunov-Razumikhin functions, delay-dependent sufficient conditions are established to guarantee the asymptotic stability of the error between the...

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Main Author: Yeong-Jeu Sun
Format: Article
Language:English
Published: Hindawi Limited 2015-01-01
Series:Mathematical Problems in Engineering
Online Access:http://dx.doi.org/10.1155/2015/713127
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spelling doaj-b545670082b641a69c4dd0cec49f38be2020-11-24T23:54:11ZengHindawi LimitedMathematical Problems in Engineering1024-123X1563-51472015-01-01201510.1155/2015/713127713127Study and Application of State Estimator for Time-Delay Systems with State Saturation NonlinearitiesYeong-Jeu Sun0Department of Electrical Engineering, I-Shou University, Kaohsiung 840, TaiwanThe design and application of state estimator for a class of time-delay systems with state saturation nonlinearities are firstly explored. Based on the Lyapunov-Razumikhin functions, delay-dependent sufficient conditions are established to guarantee the asymptotic stability of the error between the state estimate and the true state. Besides, an upper bound of arbitrary time-varying delays is derived to assure that the resulting error can converge asymptotically to zero. Finally, applications to the secure communication and simulation results are given to demonstrate the feasibility and effectiveness of the main results.http://dx.doi.org/10.1155/2015/713127
collection DOAJ
language English
format Article
sources DOAJ
author Yeong-Jeu Sun
spellingShingle Yeong-Jeu Sun
Study and Application of State Estimator for Time-Delay Systems with State Saturation Nonlinearities
Mathematical Problems in Engineering
author_facet Yeong-Jeu Sun
author_sort Yeong-Jeu Sun
title Study and Application of State Estimator for Time-Delay Systems with State Saturation Nonlinearities
title_short Study and Application of State Estimator for Time-Delay Systems with State Saturation Nonlinearities
title_full Study and Application of State Estimator for Time-Delay Systems with State Saturation Nonlinearities
title_fullStr Study and Application of State Estimator for Time-Delay Systems with State Saturation Nonlinearities
title_full_unstemmed Study and Application of State Estimator for Time-Delay Systems with State Saturation Nonlinearities
title_sort study and application of state estimator for time-delay systems with state saturation nonlinearities
publisher Hindawi Limited
series Mathematical Problems in Engineering
issn 1024-123X
1563-5147
publishDate 2015-01-01
description The design and application of state estimator for a class of time-delay systems with state saturation nonlinearities are firstly explored. Based on the Lyapunov-Razumikhin functions, delay-dependent sufficient conditions are established to guarantee the asymptotic stability of the error between the state estimate and the true state. Besides, an upper bound of arbitrary time-varying delays is derived to assure that the resulting error can converge asymptotically to zero. Finally, applications to the secure communication and simulation results are given to demonstrate the feasibility and effectiveness of the main results.
url http://dx.doi.org/10.1155/2015/713127
work_keys_str_mv AT yeongjeusun studyandapplicationofstateestimatorfortimedelaysystemswithstatesaturationnonlinearities
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