Title
Reliable control for event-triggered singular Markov jump systems with partly unknown transition probabilities and actuator faults.
Abstract
In this paper, the problem of reliable controller design for event-triggered singular Markov jump systems with partly known transition probabilities, nonlinear perturbations and actuator faults is studied. To mitigate the burden of data transmissions over network, two event-triggered schemes with different triggering conditions are introduced. The switch law between the two event-triggered schemes is governed by a random variable with Bernoulli distribution. Taking nonlinear perturbations and actuator faults into account, the resulting closed-loop system is converted into a time-delay singular Markov jump system with partly known transition probabilities. Sufficient conditions of stochastically admissible for the resulting closed-loop system are obtained in terms of a group of linear matrix inequalities. The co-design of desirable reliable controller and weighting matrices of event-triggered schemes is presented. Finally, two numerical examples are given to show the effectiveness of the developed results.
Year
DOI
Venue
2019
10.1016/j.jfranklin.2019.01.008
Journal of the Franklin Institute
Field
DocType
Volume
Bernoulli distribution,Control theory,Random variable,Weighting,Control theory,Matrix (mathematics),Markov chain,Jump,Mathematics,Actuator
Journal
356
Issue
ISSN
Citations 
4
0016-0032
0
PageRank 
References 
Authors
0.34
23
4
Name
Order
Citations
PageRank
Yanqian Wang1184.99
Qiaochu An200.34
Ruihua Wang3112.96
Shuyu Zhang4144.74