Title
Stabilization of discrete-time T-S fuzzy systems with saturating actuators
Abstract
This paper focuses on the problem of stabilization of nonlinear discrete-time systems with actuator saturation. Based on the idea of multiple Lyapunov function (MLF) and slack variables functional terms of the controller design method, the problem of estimating the domain of attraction of T-S fuzzy nonlinear discrete-time systems with actuator saturation under a state feedback law is formulated and solved as Linear Matrix Inequalities (LMIs). An LMI-based optimization problem is then derived for computing the state feedback gains such that the origin of the closed-loop system with actuator saturation is asymptotically stable when starting in a region as large as possible. Numerical example demonstrates the effectiveness of the design method.
Year
DOI
Venue
2017
10.1109/ATSIP.2017.8075531
2017 International Conference on Advanced Technologies for Signal and Image Processing (ATSIP)
Keywords
Field
DocType
Discrete-time systems,LMI,stabilization,actuator saturation,T-S fuzzy systems
Lyapunov function,Slack variable,Nonlinear system,Control theory,Fuzzy logic,Discrete time and continuous time,Fuzzy control system,Optimization problem,Mathematics,Actuator
Conference
ISBN
Citations 
PageRank 
978-1-5386-0552-3
0
0.34
References 
Authors
14
4
Name
Order
Citations
PageRank
Khadija Naamane100.34
Redouane Chaibi242.12
tissir3287.57
abdelaziz hmamed49617.82