Adaptive control for a class of nonlinear time-delay systems preceded by unknown hysteresis

Xiuyu Zhang and Yan Lin

International Journal of Systems Science, 2013, vol. 44, issue 8, 1468-1482

Abstract: In this article, a robust adaptive neural dynamic surface control is proposed for a class of time-delay nonlinear systems preceded by saturated hystereses. Compared with the present schemes of dealing with time delay and hystereses input, the main advantages of the proposed scheme are that the prespecified transient and steady-state performance of tracking error can be guaranteed, the computational burden can be greatly reduced and the explosion of complexity problem inherent in backstepping control can be eliminated. Moreover, the utilisation of saturated-type Prandtl–Ishlinskii model makes our scheme more applicable. It is proved that the new scheme can guarantee all the closed-loop signals semiglobally uniformly ultimate bounded. Simulation results are presented to demonstrate the validity of the proposed scheme.

Date: 2013
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DOI: 10.1080/00207721.2012.659690

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