GA-Based Fuzzy Sliding Mode Controller for Nonlinear Systems
Joint Authors
Chiang, W. L.
Chen, P. C.
Chen, Cheng-Wu
Source
Mathematical Problems in Engineering
Issue
Vol. 2008, Issue 2008 (31 Dec. 2008), pp.1-16, 16 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2008-11-16
Country of Publication
Egypt
No. of Pages
16
Main Subjects
Abstract EN
Generally, the greatest difficulty encountered when designing a fuzzy sliding mode controller (FSMC) or an adaptive fuzzy sliding mode controller (AFSMC) capable of rapidly and efficiently controlling complex and nonlinear systems is how to select the most appropriate initial values for the parameter vector.
In this paper, we describe a method of stability analysis for a GA-based reference adaptive fuzzy sliding model controller capable of handling these types of problems for a nonlinear system.
First, we approximate and describe an uncertain and nonlinear plant for the tracking of a reference trajectory via a fuzzy model incorporating fuzzy logic control rules.
Next, the initial values of the consequent parameter vector are decided via a genetic algorithm.
After this, an adaptive fuzzy sliding model controller, designed to simultaneously stabilize and control the system, is derived.
The stability of the nonlinear system is ensured by the derivation of the stability criterion based upon Lyapunov's direct method.
Finally, an example, a numerical simulation, is provided to demonstrate the control methodology.
American Psychological Association (APA)
Chen, P. C.& Chen, Cheng-Wu& Chiang, W. L.. 2008. GA-Based Fuzzy Sliding Mode Controller for Nonlinear Systems. Mathematical Problems in Engineering،Vol. 2008, no. 2008, pp.1-16.
https://search.emarefa.net/detail/BIM-463682
Modern Language Association (MLA)
Chen, P. C.…[et al.]. GA-Based Fuzzy Sliding Mode Controller for Nonlinear Systems. Mathematical Problems in Engineering No. 2008 (2008), pp.1-16.
https://search.emarefa.net/detail/BIM-463682
American Medical Association (AMA)
Chen, P. C.& Chen, Cheng-Wu& Chiang, W. L.. GA-Based Fuzzy Sliding Mode Controller for Nonlinear Systems. Mathematical Problems in Engineering. 2008. Vol. 2008, no. 2008, pp.1-16.
https://search.emarefa.net/detail/BIM-463682
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-463682