Title
Sliding mode control for singular stochastic Markovian jump systems with uncertainties.
Abstract
This paper considers sliding mode control design for singular stochastic Markovian jump systems with uncertainties. A suitable integral sliding function is proposed and the resulting sliding mode dynamics is an uncertain singular stochastic Markovian jump system. A set of new sufficient conditions is developed which not only guarantees the stochastic admissibility of the sliding mode dynamics, but also determines all the parameter matrices in the integral sliding function. Then, a sliding mode control law is synthesized such that reachability of the specified sliding surface can be ensured. Finally, three examples are given to demonstrate the effectiveness of the results.
Year
DOI
Venue
2017
10.1016/j.automatica.2017.01.002
Automatica
Keywords
Field
DocType
Singular systems,Stochastic systems,Markovian jump systems,Sliding mode control
Mathematical optimization,Matrix (mathematics),Control theory,Singular systems,Markovian jump,Reachability,Mathematics,Sliding mode control
Journal
Volume
Issue
ISSN
79
1
0005-1098
Citations 
PageRank 
References 
24
0.84
11
Authors
4
Name
Order
Citations
PageRank
Qingling Zhang11353100.93
Li Li2240.84
xinggang yan347146.12
sarah k spurgeon472471.21