Title
Fuzzy Integral Sliding-Mode Control for Nonlinear Semi-Markovian Switching Systems With Application
Abstract
The issue of sliding-mode control (SMC) design is studied for a class of nonlinear semi-Markovian switching systems (S-MSSs) via T–S fuzzy approach. Compared with previous literature, novel integral sliding-mode surfaces (ISMSs) are developed to depend on the designed controller gains and projection matrices. The aim of this work is to design an appropriate fuzzy SMC law under complex stochastic semi-Markovian switching process. For this purpose, the novel ISMSs are developed under the T–S fuzzy modeling framework. Then, based on the weak infinitesimal operator theory, sufficient conditions are given for stochastic stability criteria relying on the sojourn-time. Furthermore, an appropriate fuzzy SMC law is proposed to drive the state signals onto the predefined fuzzy manifold. Finally, an electric circuit model illustrates the effectiveness of the theoretical findings.
Year
DOI
Venue
2022
10.1109/TSMC.2020.3034484
IEEE Transactions on Systems, Man, and Cybernetics: Systems
Keywords
DocType
Volume
Semi-Markovian switching,sliding-mode control (SMC),sojourn-time (ST),T–S fuzzy approach
Journal
52
Issue
ISSN
Citations 
3
2168-2216
5
PageRank 
References 
Authors
0.38
0
5
Name
Order
Citations
PageRank
Wenhai Qi113510.51
Xianwen Gao2295.12
Choon Ki Ahn3121881.53
Jinde Cao411399733.03
Jun Cheng553643.22