A new result on observer-based sliding mode control design for a class of uncertain Ito^ stochastic delay systems. Issue 18 (December 2017)

• Record Type: Journal Article
• Authors: Liu, Zhen; Zhu, Quanmin; Zhao, Lin; Yu, Jinpeng; Gao, Cunchen
• Is Part Of: Journal of the Franklin Institute. Volume 354:Issue 18(2017)
• Page Start: 8200
• Page End: 8216
• Publication Date: 2017-12
• Subjects: Science -- Periodicals; Technology -- Periodicals; Patents -- United States -- Periodicals; 505
• DOI: 10.1016/j.jfranklin.2017.10.016
• Languages: English
• ISSNs: 0016-0032

Abstract

Highlights: A new technical procedure of stability analysis for the observer-based closed-loop systems is developed. A simplified state observer is designed without any control terms compared with the existing results on stochastic delay systems. A novel integral sliding surface design is shown on the basis of the new observer and the outputs. A new adaptive SMC law is synthesized to ensure the sliding mode phase and maintain the expected performance of the system. Abstract: This paper develops a new observer-based sliding mode control (SMC) scheme for a general class of It o ^ 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.