Robust adaptive neural control for a class of time-varying delay systems with backlash-like hysteresis input

Xiuyu Zhang; Zhi Li; Chun Yi Su; Xinkai Chen; Jianguo Wang; Linlin Xia

doi:10.1002/asjc.1182

Robust adaptive neural control for a class of time-varying delay systems with backlash-like hysteresis input

Xiuyu Zhang
, Zhi Li
, Chun Yi Su
, Xinkai Chen
, Jianguo Wang
, Linlin Xia

Control Systems

Research output: Contribution to journal › Article › Academic › peer-review

13 Citations (Scopus)

167 Downloads (Pure)

Abstract

This paper proposes a robust adaptive dynamic surface control (DSC) scheme for a class of time-varying delay systems with backlash-like hysteresis input. The main features of the proposed DSC method are that 1) by using a transformation function, the prescribed transient performance of the tracking error can be guaranteed; 2) by estimating the norm of the unknown weighted vector of the neural network, the computational burden can be greatly reduced; 3) by using the DSC method, the explosion of complexity problem is eliminated. It is proved that the proposed scheme guarantees all the closed-loop signals being uniformly ultimately bounded. The simulation results show the validity of the proposed control scheme.

Original language	English
Pages (from-to)	1087-1101
Number of pages	15
Journal	Asian Journal of Control
Volume	18
Issue number	3
DOIs	https://doi.org/10.1002/asjc.1182
Publication status	Published - 1 May 2016

Funding

This work was supported in part by the National Natural Science Foundation of China under Grants 61304015, U1201244, 61228301, 61411140039, and 51176028, in part by the China Postdoctoral Science Foundation under Grant 2013M540839, in part by the Emerging Industries of Strategic Importance of Guangdong Province of China under Grant 2012A090100012, in part by the Nature Science Foundation of Jilin Province underGrant 20140101059JC, in part by the Outstanding Young Scholar Project of Jilin City under Grant 2013625002, in part by the Twelfth FiveYear Scientific Research Plan of Jilin Province under Grant [2014]111

Keywords

Backlash-like hysteresis
Dynamic surface control
Prescribed tracking error performance
Unknown time-varying delay

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10.1002/asjc.1182

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abstract = "This paper proposes a robust adaptive dynamic surface control (DSC) scheme for a class of time-varying delay systems with backlash-like hysteresis input. The main features of the proposed DSC method are that 1) by using a transformation function, the prescribed transient performance of the tracking error can be guaranteed; 2) by estimating the norm of the unknown weighted vector of the neural network, the computational burden can be greatly reduced; 3) by using the DSC method, the explosion of complexity problem is eliminated. It is proved that the proposed scheme guarantees all the closed-loop signals being uniformly ultimately bounded. The simulation results show the validity of the proposed control scheme.",

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AU - Wang, Jianguo

AU - Xia, Linlin

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AB - This paper proposes a robust adaptive dynamic surface control (DSC) scheme for a class of time-varying delay systems with backlash-like hysteresis input. The main features of the proposed DSC method are that 1) by using a transformation function, the prescribed transient performance of the tracking error can be guaranteed; 2) by estimating the norm of the unknown weighted vector of the neural network, the computational burden can be greatly reduced; 3) by using the DSC method, the explosion of complexity problem is eliminated. It is proved that the proposed scheme guarantees all the closed-loop signals being uniformly ultimately bounded. The simulation results show the validity of the proposed control scheme.

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Robust adaptive neural control for a class of time-varying delay systems with backlash-like hysteresis input

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