A new result on observer-based sliding mode control design for a class of uncertain Ito^ stochastic delay systems

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

Abstract

© 2017 The Franklin Institute This paper develops a new observer-based sliding mode control (SMC) scheme for a general class of Ito^ stochastic delay systems (SDS). The key merit of the presented scheme lies in its simplicity and integrity in design process of the traditional sliding mode observer (SMO) strategy, i.e., the state observer and sliding surface design as well as the associated sliding mode controller synthesis. For guaranteeing to use the scheme, a new LMIs-based criterion is established to ensure the exponential stability of the underlying sliding mode dynamics (SMDs) in mean-square sense with H∞ performance. A bench test example is provided to numerically demonstrate the efficacy of the scheme and illustrate the application procedure for potential readers/users with interest in their ad hoc applications and methodology expansion.

Citation

Liu, Z., Zhu, Q., Zhao, L., Yu, J., & Gao, C. (2017). A new result on observer-based sliding mode control design for a class of uncertain Ito^ stochastic delay systems. Journal of The Franklin Institute, 354(18), 8200-8216. https://doi.org/10.1016/j.jfranklin.2017.10.016

• Journal Article Type: Article
• Acceptance Date: Oct 1, 2017
• Online Publication Date: Nov 2, 2017
• Publication Date: Dec 1, 2017
• Deposit Date: Dec 5, 2017
• Publicly Available Date: Nov 2, 2018
• Journal: Journal of the Franklin Institute
• Print ISSN: 0016-0032
• Publisher: Elsevier
• Peer Reviewed: Peer Reviewed
• Volume: 354
• Issue: 18
• Pages: 8200-8216
• DOI: https://doi.org/10.1016/j.jfranklin.2017.10.016
• Keywords: stochastic systems, state estimation, H_inf performance, sliding modecontrol, time-delay
• Public URL: https://uwe-repository.worktribe.com/output/876855
• Publisher URL: http://dx.doi.org/10.1016/j.jfranklin.2017.10.016