Title
Observer design for switching nonlinear systems
Abstract
In this paper we consider observer design for discrete-time switching systems represented by Takagi-Sugeno fuzzy models. For the design we use a switching Lyapunov function defined on the switches. In order to develop stability conditions for the estimation error dynamics, we consider the variation of this function along possible switches. The conser-vativeness of the approach is reduced by considering the α-sample variation of the Lyapunov function. This approach can bring solutions to observer design for some switching systems with unobservable and unstable local models. The developed conditions are illustrated on a numerical example.
Year
DOI
Venue
2014
10.1109/FUZZ-IEEE.2014.6891625
Fuzzy Systems
Keywords
Field
DocType
Lyapunov methods,control system synthesis,discrete time systems,fuzzy control,nonlinear control systems,observers,stability,time-varying systems,α-sample variation,Takagi-Sugeno fuzzy models,discrete-time switching systems,estimation error dynamics,observer design,stability conditions,switching Lyapunov function,switching nonlinear systems,unobservable local models,unstable local models,Takagi-Sugeno fuzzy models,nonquadratic Lyapunov function,observer design,periodic systems,switching systems
Lyapunov function,Mathematical optimization,Nonlinear system,Computer science,Control theory,Fuzzy logic,Stability conditions,Lyapunov redesign,Observer (quantum physics),Unobservable
Conference
ISSN
Citations 
PageRank 
1544-5615
1
0.37
References 
Authors
16
4
Name
Order
Citations
PageRank
Zsófia Lendek1454.33
Paula Raica211.72
J. Lauber327522.74
Thierry Marie Guerra4106073.97