Improved Polynomial Fuzzy Modeling and Controller with Stability Analysis for Nonlinear Dynamical Systems
Joint Authors
Kharrati, Hamed
Pedrycz, Witold
Alizadeh, Ghasem
Khanmohammadi, Sohrab
Source
Mathematical Problems in Engineering
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-21, 21 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-12-24
Country of Publication
Egypt
No. of Pages
21
Main Subjects
Abstract EN
This study presents an improved model and controller for nonlinear plants using polynomial fuzzy model-based (FMB) systems.
To minimize mismatch between the polynomial fuzzy model and nonlinear plant, the suitable parameters of membership functions are determined in a systematic way.
Defining an appropriate fitness function and utilizing Taylor series expansion, a genetic algorithm (GA) is used to form the shape of membership functions in polynomial forms, which are afterwards used in fuzzy modeling.
To validate the model, a controller based on proposed polynomial fuzzy systems is designed and then applied to both original nonlinear plant and fuzzy model for comparison.
Additionally, stability analysis for the proposed polynomial FMB control system is investigated employing Lyapunov theory and a sum of squares (SOS) approach.
Moreover, the form of the membership functions is considered in stability analysis.
The SOS-based stability conditions are attained using SOSTOOLS.
Simulation results are also given to demonstrate the effectiveness of the proposed method.
American Psychological Association (APA)
Kharrati, Hamed& Khanmohammadi, Sohrab& Pedrycz, Witold& Alizadeh, Ghasem. 2012. Improved Polynomial Fuzzy Modeling and Controller with Stability Analysis for Nonlinear Dynamical Systems. Mathematical Problems in Engineering،Vol. 2012, no. 2012, pp.1-21.
https://search.emarefa.net/detail/BIM-1029520
Modern Language Association (MLA)
Kharrati, Hamed…[et al.]. Improved Polynomial Fuzzy Modeling and Controller with Stability Analysis for Nonlinear Dynamical Systems. Mathematical Problems in Engineering No. 2012 (2012), pp.1-21.
https://search.emarefa.net/detail/BIM-1029520
American Medical Association (AMA)
Kharrati, Hamed& Khanmohammadi, Sohrab& Pedrycz, Witold& Alizadeh, Ghasem. Improved Polynomial Fuzzy Modeling and Controller with Stability Analysis for Nonlinear Dynamical Systems. Mathematical Problems in Engineering. 2012. Vol. 2012, no. 2012, pp.1-21.
https://search.emarefa.net/detail/BIM-1029520
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1029520