Paper Info
Title
Stability analysis of dynamic nonlinear interval type-2 TSK fuzzy control systems based on describing function
Abstract
This paper focuses on the limit cycles prediction problem to discuss the stability analysis of dynamic nonlinear interval type-2 Takagi-Sugeno-Kang fuzzy control systems (NIT2 TSK FCSs) with adjustable parameters. First, in order to alleviate computational burden, a simple architecture of NIT2 TSK FCS using two embedded nonlinear type-1 TSK fuzzy control systems (NT1 TSK FCSs) is proposed. Then, describing function (DF) of NIT2 TSK FCS is obtained based on the DFs of embedded NT1 TSK FCSs. Subsequently, integrating the stability equation and parameter plane approaches provides a solution to identify the limit cycle and the asymptotically stable regions. Moreover, particle swarm optimization technique is applied to minimize the limit cycle region. Furthermore, for robust design, a gain-phase margin tester is utilized to specify the minimum gain margin (GM(min)) and phase margin (PMmin) when limit cycles can arise. Finally, two simulation examples are considered to validate the advantages of the presented method.
Year
DOI
Venue
2020
10.1007/s00500-020-04811-0
SOFT COMPUTING
Keywords
DocType
Volume
Interval type-2 Takagi-Sugeno-Kang fuzzy control systems,Stability,Limit cycle,Gain margin,Phase margin,Describing function
Journal
24.0
Issue
ISSN
Citations 
19.0
1432-7643
0
PageRank 
References 
Authors
0.34
0
2
Name
Order
Citations
PageRank
Zahra Namadchian161.43
Assef Zare2161.90