Paper Info
Title
Stability Analysis and Estimation of Domain of Attraction for Positive Polynomial Fuzzy Systems With Input Saturation
Abstract
AbstractIn this paper, the stability and positivity of positive polynomial fuzzy model based (PPFMB) control system are investigated, in which the positive polynomial fuzzy model and positive polynomial fuzzy controller are allowed to have different premise membership functions from each other. These mismatched premise membership functions can increase the flexibility of controller design; however, it will lead to the conservative results when the stability is analyzed based on the Lyapunov stability theory. To relax the positivity/stability conditions, the improved Taylor-series-membership-functions-dependent (ITSMFD) method is introduced by introducing the sample points information of Taylor-series approximate membership functions, local error information and boundary information of substate space of premise variables into the stability/positivity conditions. Meanwhile, the ITSMFD method is extended to the PPFMB control system with input saturation to relax the estimation of domain of attraction. Finally, simulation examples are presented to verify the feasibility of this method.
Year
DOI
Venue
2020
10.1109/TFUZZ.2019.2921267
Periodicals
Keywords
DocType
Volume
Stability analysis, Direction-of-arrival estimation, Control systems, Estimation, Nonlinear systems, Thermal stability, Fuzzy systems, Domain of attraction (DOA), imperfect premise matching (IPC) concept, improved Taylor-series-membership-functions-dependent (ITSMFD) method, input saturation, positive polynomial fuzzy model based (PPFMB) control systems
Journal
28
Issue
ISSN
Citations 
8
1063-6706
4
PageRank 
References 
Authors
0.37
26
5
Name
Order
Citations
PageRank
Meng Han19425.04
H. K. Lam23618193.15
Fucai Liu3537.49
Likui Wang415311.05
Yinggan Tang5487.36