Paper Info
Title
Stabilization analysis of single-input polynomial fuzzy systems using control Lyapunov functions
Abstract
This paper presents a novel method for stabilization analysis of the single-input polynomial fuzzy systems using a sum of squares (SOS) approach to construct control Lyapunov functions (CLFs) for the systems. First, we represent a nonlinear system as a polynomial fuzzy system. Then, sufficient conditions in SOS terms for a positive definite function to become a CLF is presented. We solve the sufficient conditions using SOS optimization technique to construct the CLF. Finally, after a CLF is constructed, the controller for the system is designed using Sontag's formula. To illustrate the validity of the proposed approach, a design example is provided.
Year
DOI
Venue
2014
10.1109/FUZZ-IEEE.2014.6891740
Fuzzy Systems
Keywords
Field
DocType
Lyapunov methods,control system synthesis,fuzzy systems,nonlinear control systems,optimisation,stability,CLF,SOS approach,SOS optimization technique,Sontag formula,Stabilization Analysis,control Lyapunov functions,nonlinear system,polynomial fuzzy system,positive definite function,single-input polynomial fuzzy systems,sum-of-square approach
Lyapunov function,Lyapunov equation,Polynomial,Control theory,Control-Lyapunov function,Lyapunov optimization,Lyapunov redesign,Fuzzy control system,Mathematics,Lyapunov exponent
Conference
ISSN
Citations 
PageRank 
1544-5615
0
0.34
References 
Authors
0
5
Name
Order
Citations
PageRank
Radian Furqon140.91
Ying-Jen Chen214413.16
Motoyasu Tanaka318025.20
Kazuo Tanaka440840.44
Hua O Wang51139135.28