Design of sliding-mode observer for a class of uncertain neutral stochastic systems

Zhen Liu, Lin Zhao, Quanmin Zhu and Cunchen Gao

International Journal of Systems Science, 2017, vol. 48, issue 7, 1380-1394

Abstract: The problem of robust H∞$\mathscr {H}_{\infty }$ control for a class of uncertain neutral stochastic systems (NSS) is investigated by utilising the sliding-mode observer (SMO) technique. This paper presents a novel observer and integral-type sliding-surface design, based on which a new sufficient condition guaranteeing the resultant sliding-mode dynamics (SMDs) to be mean-square exponentially stable with a prescribed level of H∞$\mathscr {H}_{\infty }$ performance is derived. Then, an adaptive reaching motion controller is synthesised to lead the system to the predesigned sliding surface in finite-time almost surely. Finally, two illustrative examples are exhibited to verify the validity and superiority of the developed scheme.

Date: 2017
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DOI: 10.1080/00207721.2016.1258597

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