Impulsive Control of Attitude Satellite With Quaternion ‎Parameters

محورهای موضوعی : مجله بین المللی ریاضیات صنعتی

M. R. Niknam ¹ , N. Abdi Sobouhi ²

1 - Department of Mathematics, Khalkhal Branch, Islamic Azad University, Khalkhal, Iran.
2 - Department of Education, Farhangian University, Tabriz, Iran.

تاریخ دریافت : 1399/10/24 تاریخ پذیرش : 1400/11/21 تاریخ انتشار : 1401/01/12

کلید واژه: Satellite attitude, Lyapunov exponent, Impulsive control, Quaternion, Chaotic system,

چکیده مقاله :

This article uses impulsive control along with quaternion parameters instead of Euler angles in kinematics equations of satellite. ‎The quaternion parameters are applied to overcome singularity problem in the numerical solution. ‎It is assumed that the satellite is subjected to deterministic external perturbations. ‎At first, ‎the chaotic behavior of system is investigated when there is no control on the system. ‎Then, ‎impulsive control is used to stabilize the satellite attitude around the equilibrium point of origin. ‎Finally, ‎simulation results are given to visualize the effectiveness and feasibility of the proposed ‎method.

چکیده انگلیسی:

این مقاله، کنترل ضربه‌ای همراه با پارامترهای کواترنیون بجای زوایای اویلر در معادلات سینماتیک ماهواره بکار می‌برد. پارامترهای کواترنیون برای غلبه بر مسئله تکینگی در حل عددی استفاده می شوند. فرض بر این است که ماهواره در معرض اغتشاشات بیرونی معین قرار دارد. در ابتدا، رفتار آشوبناک سیستم زمانی که هیچ کنترلی روی سیستم وجود ندارد تحقیق می‌شود. سپس، برای تثبیت حالت ماهواره در اطراف نقطه تعادل مبدا، از کنترل ضربه‌ای استفاده می شود. در آخر، نتایج شبیه سازی برای تجسم کارآمدی و امکان پذیری روش پیشنهادی ارائه می‌شوند.

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