Title
Local stabilization of discrete-time TS descriptor systems.
Abstract
Descriptor models are naturally obtained from the Euler–Lagrange modeling approach to mechanical systems. Since the underlying system is nonlinear, global stabilization and/or tracking is possible only in a limited number of cases. Therefore, we develop conditions for local stabilization and tracking of discrete-time descriptor systems represented by Takagi–Sugeno fuzzy models, using both quadratic and nonquadratic Lyapunov functions. An estimate of the region of attraction is also obtained. The conditions are illustrated on a numerical example and in tracking control for a robot arm.
Year
DOI
Venue
2018
10.1016/j.engappai.2017.09.006
Engineering Applications of Artificial Intelligence
Keywords
Field
DocType
Local stabilization,TS models,Descriptor form,Robot arm
Lyapunov function,Robotic arm,Mathematical optimization,Nonlinear system,Computer science,Simulation,Control theory,Fuzzy logic,Quadratic equation,Descriptor systems,Discrete time and continuous time,Mechanical system
Journal
Volume
ISSN
Citations 
67
0952-1976
1
PageRank 
References 
Authors
0.36
21
3
Name
Order
Citations
PageRank
Zsófia Lendek1788.23
Zoltán Nagy212.05
J. Lauber327522.74