Adaptive Neural Networks Control Using Barrier Lyapunov Functions for DC Motor System with Time-Varying State Constraints

This paper proposes an adaptive neural network (NN) control approach for a direct-current (DC) system with full state constraints. To guarantee that state constraints always remain in the asymmetric time-varying constraint regions, the asymmetric time-varying Barrier Lyapunov Function (BLF) is emplo...

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Main Authors: Lei Ma, Dapeng Li
Format: Article
Language:English
Published: Wiley 2018-01-01
Series:Complexity
Online Access:http://dx.doi.org/10.1155/2018/5082401
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author Lei Ma
Dapeng Li
author_facet Lei Ma
Dapeng Li
author_sort Lei Ma
collection DOAJ
description This paper proposes an adaptive neural network (NN) control approach for a direct-current (DC) system with full state constraints. To guarantee that state constraints always remain in the asymmetric time-varying constraint regions, the asymmetric time-varying Barrier Lyapunov Function (BLF) is employed to structure an adaptive NN controller. As we all know that the constant constraint is only a special case of the time-varying constraint, hence, the proposed control method is more general for dealing with constraint problem as compared with the existing works on DC systems. As far as we know, this system is the first studied situations with time-varying constraints. Using Lyapunov analysis, all signals in the closed-loop system are proved to be bounded and the constraints are not violated. In this paper, the effectiveness of the control method is demonstrated by simulation results.
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institution Kabale University
issn 1076-2787
1099-0526
language English
publishDate 2018-01-01
publisher Wiley
record_format Article
series Complexity
spelling doaj-art-e7f71f2624e84edfad1b7f3af9189d6c2025-02-03T06:12:04ZengWileyComplexity1076-27871099-05262018-01-01201810.1155/2018/50824015082401Adaptive Neural Networks Control Using Barrier Lyapunov Functions for DC Motor System with Time-Varying State ConstraintsLei Ma0Dapeng Li1College of Science, Liaoning University of Technology, Jinzhou, Liaoning 121001, ChinaSchool of Electrical Engineering, Liaoning University of Technology, Jinzhou 121001, ChinaThis paper proposes an adaptive neural network (NN) control approach for a direct-current (DC) system with full state constraints. To guarantee that state constraints always remain in the asymmetric time-varying constraint regions, the asymmetric time-varying Barrier Lyapunov Function (BLF) is employed to structure an adaptive NN controller. As we all know that the constant constraint is only a special case of the time-varying constraint, hence, the proposed control method is more general for dealing with constraint problem as compared with the existing works on DC systems. As far as we know, this system is the first studied situations with time-varying constraints. Using Lyapunov analysis, all signals in the closed-loop system are proved to be bounded and the constraints are not violated. In this paper, the effectiveness of the control method is demonstrated by simulation results.http://dx.doi.org/10.1155/2018/5082401
spellingShingle Lei Ma
Dapeng Li
Adaptive Neural Networks Control Using Barrier Lyapunov Functions for DC Motor System with Time-Varying State Constraints
Complexity
title Adaptive Neural Networks Control Using Barrier Lyapunov Functions for DC Motor System with Time-Varying State Constraints
title_full Adaptive Neural Networks Control Using Barrier Lyapunov Functions for DC Motor System with Time-Varying State Constraints
title_fullStr Adaptive Neural Networks Control Using Barrier Lyapunov Functions for DC Motor System with Time-Varying State Constraints
title_full_unstemmed Adaptive Neural Networks Control Using Barrier Lyapunov Functions for DC Motor System with Time-Varying State Constraints
title_short Adaptive Neural Networks Control Using Barrier Lyapunov Functions for DC Motor System with Time-Varying State Constraints
title_sort adaptive neural networks control using barrier lyapunov functions for dc motor system with time varying state constraints
url http://dx.doi.org/10.1155/2018/5082401
work_keys_str_mv AT leima adaptiveneuralnetworkscontrolusingbarrierlyapunovfunctionsfordcmotorsystemwithtimevaryingstateconstraints
AT dapengli adaptiveneuralnetworkscontrolusingbarrierlyapunovfunctionsfordcmotorsystemwithtimevaryingstateconstraints