Comparative Controlling of the Lorenz Chaotic System Using the SMC and APP Methods
Joint Authors
Source
Mathematical Problems in Engineering
Issue
Vol. 2018, Issue 2018 (31 Dec. 2018), pp.1-9, 9 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2018-12-06
Country of Publication
Egypt
No. of Pages
9
Main Subjects
Abstract EN
The Lorenz chaotic system is based on a nonlinear behavior and this causes the system to be unstable.
Therefore, two different controller models were developed and named as the adaptive pole placement and sliding mode control (SMC) methods for the establishment of continuous time nonlinear Lorenz chaotic system.
In order to achieve this, an improved controller structure was developed first theoretically for both the controller methods and then tested practically using the numerical samples.
During the establishment of adaptive pole placement method for the Lorenz chaotic system, various stages were applied.
The nonlinear chaotic system was also linearized by means of Taylor Series expansion processes.
In addition, the feedback matrix of the adaptive pole placement method was determined using linear Jacobian matrix.
The chaotic system reached an equilibrium point by using both the SMC and adaptive pole placement methods; however the simulation results of the SMC had better success than adaptive pole placement control technique.
American Psychological Association (APA)
Köse, Ercan& Mühürcü, Aydın. 2018. Comparative Controlling of the Lorenz Chaotic System Using the SMC and APP Methods. Mathematical Problems in Engineering،Vol. 2018, no. 2018, pp.1-9.
https://search.emarefa.net/detail/BIM-1209725
Modern Language Association (MLA)
Köse, Ercan& Mühürcü, Aydın. Comparative Controlling of the Lorenz Chaotic System Using the SMC and APP Methods. Mathematical Problems in Engineering No. 2018 (2018), pp.1-9.
https://search.emarefa.net/detail/BIM-1209725
American Medical Association (AMA)
Köse, Ercan& Mühürcü, Aydın. Comparative Controlling of the Lorenz Chaotic System Using the SMC and APP Methods. Mathematical Problems in Engineering. 2018. Vol. 2018, no. 2018, pp.1-9.
https://search.emarefa.net/detail/BIM-1209725
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1209725