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

Liu, Zhen; Zhao, Lin; Zhu, Quanmin; Gao, Cunchen

Abstract

© 2016 Informa UK Limited, trading as Taylor & Francis Group. The problem of robust H∞ 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∞ 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.

• Journal Article Type: Article
• Acceptance Date: Nov 29, 2016
• Online Publication Date: Nov 29, 2016
• Publication Date: May 19, 2017
• Deposit Date: Dec 9, 2016
• Publicly Available Date: Nov 29, 2017
• Journal: International Journal of Systems Science
• Print ISSN: 0020-7721
• Electronic ISSN: 1464-5319
• Publisher: Taylor & Francis
• Peer Reviewed: Peer Reviewed
• Volume: 48
• Issue: 7
• Pages: 1380-1394
• DOI: https://doi.org/10.1080/00207721.2016.1258597
• Keywords: neutral stochastic systems, sliding-mode control,non-fragile observer, H∞, performance, stability
• Public URL: https://uwe-repository.worktribe.com/output/896812
• Publisher URL: http://dx.doi.org/10.1080/00207721.2016.1258597
• Contract Date: Dec 9, 2016