Title
Dissipative control for Markov jump non-linear stochastic systems based on T–S fuzzy model
Abstract
The dissipative analysis and control problems for a class of Markov jump non-linear stochastic systems MJNSSs are investigated. A sufficient condition for the dissipativity of MJNSSs is given in terms of coupled non-linear Hamilton–Jacobi inequalities HJIs. Generally, it is difficult to solve the coupled HJIs. In this paper, based on T–S fuzzy model, the dissipative analysis and controller design for MJNSSs is proposed via solving a set of linear matrix inequalities LMIs instead of HJIs. Finally, a numerical example is presented to show the effectiveness of the proposed method.
Year
DOI
Venue
2014
10.1080/00207721.2012.748103
Int. J. Systems Science
Keywords
Field
DocType
fuzzy model,dissipative analysis,non-linear hamilton,dissipative control,systems mjnsss,linear matrix inequality,control problem,jacobi inequalities hjis,markov jump non-linear stochastic,controller design,fuzzy control
Mathematical optimization,Fuzzy model,Nonlinear system,Controller design,Control theory,Matrix (mathematics),Dissipative system,Markov chain,Fuzzy control system,Jump,Mathematics
Journal
Volume
Issue
ISSN
45
5
0020-7721
Citations 
PageRank 
References 
8
0.52
24
Authors
3
Name
Order
Citations
PageRank
Li Sheng112515.24
Ming Gao2798.36
Weihai Zhang362567.73