Sliding mode control for T–S fuzzy singular semi-Markovian jump system. (November 2018)

• Record Type: Journal Article
• Authors: Zhang, Di; Zhang, Qingling
• Is Part Of: Nonlinear analysis. Volume 30(2018)
• Page Start: 72
• Page End: 91
• Publication Date: 2018-11
• Subjects: Singular semi-Markovian jump system -- T–S fuzzy system -- Sliding mode control -- Integral delay sliding mode surface; Nonlinear functional analysis -- Periodicals; Analyse fonctionnelle non linéaire -- Périodiques; Nonlinear functional analysis; Periodicals; 515.7248
• DOI: 10.1016/j.nahs.2018.04.006
• Languages: English
• ISSNs: 1751-570X

Abstract

Abstract: This paper presents sliding mode control for nonlinear singular semi-Markovian jump system by Takagi–Sugeno(T–S) fuzzy technique. By intentionally introducing a proper delay, an integral sliding surface is defined. This method considers the information about the current and delayed state. The obtained sliding motion is a T–S fuzzy singular semi-Markovian jump time-delay system. It is shown that this kind of integral sliding mode control can improve the control performance when the artificial delay is added to the integral sliding mode surface. Finally, the application and the merits of the obtained results are introduced by two examples.