Title
Sliding mode observer based control for a class of nonlinear time delay systems with delayed uncertainties
Abstract
In this paper, a class of nonlinear time varying delay systems is considered. A sliding mode observer is proposed by employing the structure of the uncertainty such that the sliding motion associated with the error dynamics is uniformly asymptotically stable. Then, based on the observer, a nonlinear discontinuous control scheme is presented to stabilise the system uniformly asymptotically. The Razuminkin Lyapunov approach is used to deal with the time delay. The accessible part of both the bounds and the nonlinear terms is separated and used in the control design to reduce conservatism. A numerical example is given to illustrate the proposed approach.
Year
DOI
Venue
2011
10.1109/CDC.2011.6160436
CDC-ECE
Keywords
Field
DocType
observers,nonlinear time varying delay systems,nonlinear terms,nonlinear discontinuous control scheme,delayed uncertainties,sliding mode observer based control,uncertain systems,control design,delay systems,asymptotic stability,razuminkin lyapunov approach,time-varying systems,error dynamics,control system synthesis,sliding motion,uniform asymptotic stability,delays,nonlinear control systems,lyapunov methods,variable structure systems,conservatism reduction,uncertainty
State observer,Mathematical optimization,Nonlinear system,Computer science,Control theory,Exponential stability,Lyapunov approach,Observer (quantum physics),Variable structure control,Stability theory,Sliding mode control
Conference
ISSN
ISBN
Citations 
0743-1546 E-ISBN : 978-1-61284-799-3
978-1-61284-799-3
2
PageRank 
References 
Authors
0.42
2
3
Name
Order
Citations
PageRank
xinggang yan147146.12
sarah k spurgeon272471.21
Yury Orlov352052.75