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

Author

Listed:
  • Zhen Liu
  • Lin Zhao
  • Quanmin Zhu
  • Cunchen Gao

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.

Suggested Citation

  • Zhen Liu & Lin Zhao & Quanmin Zhu & Cunchen Gao, 2017. "Design of sliding-mode observer for a class of uncertain neutral stochastic systems," International Journal of Systems Science, Taylor & Francis Journals, vol. 48(7), pages 1380-1394, May.
    • Handle: RePEc:taf:tsysxx:v:48:y:2017:i:7:p:1380-1394
    DOI: 10.1080/00207721.2016.1258597
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