Adaptive Neural Control with Prespecified Tracking Accuracy for a Class of Switched Systems Subject to Input Delay

This paper is concerned with the adaptive tracking control design for a class of uncertain switched systems subject to input delay. Unlike the existing results on uncertain switched systems, the new proposed control scheme ensures that the tracking error converges to the accuracy given a priori acco...

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Main Authors: Xu Zhang, Jian Wu, Wu Ai, Jing Li
Format: Article
Language:English
Published: Wiley 2019-01-01
Series:Complexity
Online Access:http://dx.doi.org/10.1155/2019/6920372
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author Xu Zhang
Jian Wu
Wu Ai
Jing Li
author_facet Xu Zhang
Jian Wu
Wu Ai
Jing Li
author_sort Xu Zhang
collection DOAJ
description This paper is concerned with the adaptive tracking control design for a class of uncertain switched systems subject to input delay. Unlike the existing results on uncertain switched systems, the new proposed control scheme ensures that the tracking error converges to the accuracy given a priori according to the requirement. To achieve this aim, some nonnegative switching functions are introduced to replace the conventional Lyapunov function. In addition, neural networks are used to approximate the unknown simultaneous domination functions. By combining the backstepping technique and some common nonnegative switching functions, a stable adaptive neural controller is established. It can be shown that the closed-loop system is semiglobally uniformly ultimately bounded (SGUUB) and the tracking error satisfies the predefined accuracy. The effectiveness of the proposed control scheme is verified by a simulation example.
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institution Kabale University
issn 1076-2787
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language English
publishDate 2019-01-01
publisher Wiley
record_format Article
series Complexity
spelling doaj-art-f6c612ed958e474ca27ecdb4d418908b2025-02-03T07:25:04ZengWileyComplexity1076-27871099-05262019-01-01201910.1155/2019/69203726920372Adaptive Neural Control with Prespecified Tracking Accuracy for a Class of Switched Systems Subject to Input DelayXu Zhang0Jian Wu1Wu Ai2Jing Li3School of Mathematics and Computation Science, Anqing Normal University, Anqing 246133, ChinaThe University Key Laboratory of Intelligent Perception and Computing of Anhui Province, Anqing Normal University, Anqing 246133, ChinaCollege of Science, Guilin University of Technology, Guilin, ChinaSchool of Mathematics and Statistics, Xidian University, Xi’an 710071, ChinaThis paper is concerned with the adaptive tracking control design for a class of uncertain switched systems subject to input delay. Unlike the existing results on uncertain switched systems, the new proposed control scheme ensures that the tracking error converges to the accuracy given a priori according to the requirement. To achieve this aim, some nonnegative switching functions are introduced to replace the conventional Lyapunov function. In addition, neural networks are used to approximate the unknown simultaneous domination functions. By combining the backstepping technique and some common nonnegative switching functions, a stable adaptive neural controller is established. It can be shown that the closed-loop system is semiglobally uniformly ultimately bounded (SGUUB) and the tracking error satisfies the predefined accuracy. The effectiveness of the proposed control scheme is verified by a simulation example.http://dx.doi.org/10.1155/2019/6920372
spellingShingle Xu Zhang
Jian Wu
Wu Ai
Jing Li
Adaptive Neural Control with Prespecified Tracking Accuracy for a Class of Switched Systems Subject to Input Delay
Complexity
title Adaptive Neural Control with Prespecified Tracking Accuracy for a Class of Switched Systems Subject to Input Delay
title_full Adaptive Neural Control with Prespecified Tracking Accuracy for a Class of Switched Systems Subject to Input Delay
title_fullStr Adaptive Neural Control with Prespecified Tracking Accuracy for a Class of Switched Systems Subject to Input Delay
title_full_unstemmed Adaptive Neural Control with Prespecified Tracking Accuracy for a Class of Switched Systems Subject to Input Delay
title_short Adaptive Neural Control with Prespecified Tracking Accuracy for a Class of Switched Systems Subject to Input Delay
title_sort adaptive neural control with prespecified tracking accuracy for a class of switched systems subject to input delay
url http://dx.doi.org/10.1155/2019/6920372
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AT wuai adaptiveneuralcontrolwithprespecifiedtrackingaccuracyforaclassofswitchedsystemssubjecttoinputdelay
AT jingli adaptiveneuralcontrolwithprespecifiedtrackingaccuracyforaclassofswitchedsystemssubjecttoinputdelay