Title
Stability analysis of SIRMs based type-2 fuzzy logic control systems
Abstract
This paper tries to provide a stability analysis approach for the single input rule modules (SIRMs) based type-2 fuzzy logic control systems. First, in the neighbor of the equilibrium point, the closed-form input-output mappings of type-2 SIRMs (T2SIRMs) are explored, and the derivatives of T2SIRMs at the equilibrium point are computed. Then, how to compute the Jacobian matrix of the SIRMs based type-2 fuzzy logic control systems, which is a fundamental step for local stability analysis, is presented. At last, two examples on stabilization control of the TORA system and the inverted pendulum system are given. The results in both examples demonstrate that the stability analysis results agree completely with the control results.
Year
DOI
Venue
2010
10.1109/FUZZY.2010.5584126
FUZZ-IEEE
Keywords
Field
DocType
closed-form input-output mapping,single input rule module,stabilization control,type-2 fuzzy logic control system,inverted pendulum system,control system analysis,nonlinear control systems,type-2 sirm,tora system,fuzzy control,jacobian matrix,stability analysis,stability,jacobian matrices,input output,equilibrium point,engines,control systems,fuzzy logic,inverted pendulum,iterative algorithm
Inverted pendulum,Fuzzy logic control,Jacobian matrix and determinant,Iterative method,Computer science,Control theory,Fuzzy logic,Equilibrium point,Control system,Fuzzy control system
Conference
Volume
Issue
ISSN
null
null
1098-7584
ISBN
Citations 
PageRank 
978-1-4244-6919-2
8
0.46
References 
Authors
15
3
Name
Order
Citations
PageRank
Chengdong Li112115.73
Jian-Qiang Yi269589.71
Tiechao Wang3566.80