Passive analysis and finite-time anti-disturbance control for semi-Markovian jump fuzzy systems with saturation and uncertainty

Tianbo Xu, Chunxia Zhu, Wenhai Qi, Jun Cheng, Kaibo Shi and Liangliang Sun

Applied Mathematics and Computation, 2022, vol. 424, issue C

Abstract: This paper mainly addresses the issue of passivity for semi-Markovian jump fuzzy systems (S-MJFSs) with saturation and uncertainty and analyzes the finite-time performance. Compared with existing research results, the passivity problem of semi-Markovian jump system (S-MJS) with mixed disturbances is proposed, and time-delay, parameter uncertainty are also considered in the close-loop systems. Takagi-Sugeno (T-S) fuzzy strategy is used to deal with finite-time nonlinear problem. Firstly, the sufficient condition of finite-time boundedness for S-MJFSs is proposed by the derivation and transformation of matrix inequality. Then, disturbance observer based control (DOBC) and passive control are combined to address the robust passive problem. Furthermore, finit-time passive controller is solved to guarantee the control requirements of uncertain S-MJFSs. Finally, the results are applied in the practical system model and the feasibility of the results is verified.

Keywords: Semi-Markovian jump systems; Passivity; T-S Fuzzy model; Finite-time boundedness; Uncertain system; Saturation (search for similar items in EconPapers)
Date: 2022
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (1)

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S0096300322001163
Full text for ScienceDirect subscribers only

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:424:y:2022:i:c:s0096300322001163

DOI: 10.1016/j.amc.2022.127030

Access Statistics for this article

Applied Mathematics and Computation is currently edited by Theodore Simos

More articles in Applied Mathematics and Computation from Elsevier
Bibliographic data for series maintained by Catherine Liu ().