Limit Cycle Prediction Based on Evolutionary Multiobjective Formulation
Joint Authors
Katebi, M.
Tawfik, H.
Katebi, S. D.
Source
Mathematical Problems in Engineering
Issue
Vol. 2009, Issue 2009 (31 Dec. 2009), pp.1-17, 17 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2009-03-23
Country of Publication
Egypt
No. of Pages
17
Main Subjects
Abstract EN
This paper is concerned with an evolutionary search for limit cycle operation in a class of nonlinear systems.
In the first part, single input single output (SISO) systems are investigated and sinusoidal input describing function (SIDF) is extended to those cases where the key assumption in its derivation is violated.
Describing function matrix (DMF) is employed to take into account the effects of higher harmonic signals and enhance the accuracy of predicting limit cycle operation.
In the second part, SIDF is extended to the class of nonlinear multiinput multioutput (MIMO) systems containing separable nonlinear elements of any general form.
In both cases linearized harmonic balance equations are derived and the search for a limit cycle is formulated as a multiobjective problem.
Multiobjective genetic algorithm (MOGA) is utilized to search the space of parameters of theoretically possible limit cycle operations.
Case studies are presented to demonstrate the effectiveness of the proposed approach.
American Psychological Association (APA)
Katebi, M.& Tawfik, H.& Katebi, S. D.. 2009. Limit Cycle Prediction Based on Evolutionary Multiobjective Formulation. Mathematical Problems in Engineering،Vol. 2009, no. 2009, pp.1-17.
https://search.emarefa.net/detail/BIM-500423
Modern Language Association (MLA)
Katebi, M.…[et al.]. Limit Cycle Prediction Based on Evolutionary Multiobjective Formulation. Mathematical Problems in Engineering No. 2009 (2009), pp.1-17.
https://search.emarefa.net/detail/BIM-500423
American Medical Association (AMA)
Katebi, M.& Tawfik, H.& Katebi, S. D.. Limit Cycle Prediction Based on Evolutionary Multiobjective Formulation. Mathematical Problems in Engineering. 2009. Vol. 2009, no. 2009, pp.1-17.
https://search.emarefa.net/detail/BIM-500423
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-500423