Title
Observer-based stabilization of sector-bounded nonlinear stochastic systems in the presence of intermittent measurements.
Abstract
This paper focuses on the stabilization problem of sector-bounded stochastic nonlinear systems, in which the measured output can be only intermittently available. An intermittent observer is constructed to estimate the unmeasurable states. By employing a piecewise time-dependent Lyapunov function method, mean square exponential stability and almost sure exponential stability criteria are established in terms of linear matrix inequalities (LMIs). It shows that the almost sure stability criterion is less conservative than the mean square stability criterion. With the help of the singular value decomposition technique, the controller and observer gains can be achieved by solving a set of LMIs. Finally, two numerical examples are provided to illustrate the validity of the proposed scheme.
Year
DOI
Venue
2019
10.1016/j.amc.2018.10.033
Applied Mathematics and Computation
Keywords
Field
DocType
Nonlinear stochastic systems,Intermittent measurements,Piecewise time-dependent Lyapunov function
Lyapunov function,Stability criterion,Singular value decomposition,Nonlinear system,Mathematical analysis,Control theory,Exponential stability,Observer (quantum physics),Piecewise,Mathematics,Bounded function
Journal
Volume
ISSN
Citations 
346
0096-3003
0
PageRank 
References 
Authors
0.34
21
2
Name
Order
Citations
PageRank
Yan Jiang13610.46
Jun-yong Zhai2429.91