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:: Volume 2, Issue 1 (6-2014) ::
2014, 2(1): 81-96 Back to browse issues page
Examining chaotic motions of a satellite and its 3-axis attitude control using back-stepping sliding mode method
Mostafa Faramin , Mohammad Ataei *
University of Isfahan , Ataei@eng.ui.ac.ir
Abstract:   (18832 Views)
The present paper proves chaos phenomenon for a range of parameters in attitude dynamic of a satellite and designs an appropriate nonlinear controller, while ensuring optimal system performance, the controller guarantees control of a chaotic state. As the dynamic equations of a three-axis satellite are defined as a nonlinear non-autonomous system, a technique is offered for calculating the Lyapunov exponents of such systems that may express the system’s chaotic state. Using the technique, the chaotic behavior of a system is proved within a range of parameters. Then a back-stepping sliding mode controller is proposed based on the desired performance and the closed-loop system stability is proved based on the Lyapunov’s theorem. Moreover, converting the system into a compatible form with the conditions of the Melnikov theorem using this analytical method ensures removing chaos phenomenon in the controlled system. Calculating Lyapunov exponents of the closed system confirms this issue. Finally, the simulation results obtained from the proposed controlling actions for different work fields are presented.
Keywords: Satellite attitude control, Chaotic motions, Back-stepping sliding mode control, Melnikov’s method, Lyapunov exponents
Full-Text [PDF 624 kb]   (2931 Downloads)    
Type of Study: Research | Subject: Nonlinear Control
Received: 2014/01/18 | Accepted: 2014/04/12 | Published: 2014/06/16
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Faramin M, Ataei M. Examining chaotic motions of a satellite and its 3-axis attitude control using back-stepping sliding mode method. Nonlinear Systems in Electrical Engineering 2014; 2 (1) :81-96
URL: http://journals.sut.ac.ir/jnsee/article-1-79-en.html

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Volume 2, Issue 1 (6-2014) Back to browse issues page
سامانه های غیرخطی در مهندسی برق Journal of Nonlinear Systems in Electrical Engineering
نشریه سامانه‌های غیرخطی در مهندسی برق در خصوص اصول اخلاقی انتشار مقاله، از توصیه‌های «کمیته بین‌المللی اخلاق نشر» موسوم به COPE و «منشور و موازین اخلاق پژوهش» مصوب معاونت پژوهش و فناوری وزارت علوم، تحقیقات و فناوری تبعیت می‌کند.
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