فناوری در مهندسی هوافضا

فناوری در مهندسی هوافضا

الگوریتم هدایت با رهیافت بهینه‌سازی عددی در مساله هدایت صفحه‌ای دارای قید

نوع مقاله : علمی پژوهشی

نویسندگان
1 دانشجوی کارشناسی ارشد، دانشکده مهندسی سیستم‌های هوشمند و علوم داده، دانشگاه خلیج فارس، بوشهر، ایران
2 دانشیار، دانشکده مهندسی سیستم‌های هوشمند و علوم داده، دانشگاه خلیج فارس، بوشهر، ایران
3 استادیار، دانشکده مهندسی سیستم‌های هوشمند و علوم داده، دانشگاه خلیج فارس، بوشهر، ایران
چکیده
در مسئله هدایت صفحه‌ای با وجود محدودیت، به‌منظور یافتن قانون هدایت بهینه در فرم حلقه‌باز، مدل ریاضی سیستم هدایت در نظر گرفته می‌شود. در گام نخست، با در نظر گرفتن شتاب جانبی به‌عنوان متغیر ورودی، معادلات دیفرانسیل حاکم تعیین می‌گردد. سپس محدوده مجاز انواع متغیرهای مسئله مشخص شده و متعاقب آن تابع هزینه مناسب انتخاب گردیده است. در مسائل هدایت با یافتن مقدار بهینه چنین تابع هزینه‌ای فرامین شتاب جانبی بهینه جسم استخراج خواهد گردید. برای نشان دادن اثر بخشی ایده در کاربردهای هدایت، رویکرد پیشنهادی در تعدادی سناریوی هدایت بکار گرفته شده‌است. سیگنال شتاب جانبی بهینه توسط یک بهینه‌ساز استخراج گردیده است. ابتدا نتایج شبیه‌سازی با روش هدایت تناسبی مقایسه گردیده و کیفیت روش هدایت نشان داده خواهد شد. سپس به‌منظور مطالعه مقاوم بودن استراتژی هدایت، مواردی مانند عدم‌قطعیت، تاخیر زمانی و اغتشاش در معادلات هدایت لحاظ شده و شبیه‌سازی تکرار می‌گردد. در شبیه‌سازی عددی دیده می‌شود قانون هدایت استخراج شده برای سیستم نامی تا حد خوبی در برابر انواع عدم‌قطعیت‌ها مقاوم خواهد بود. در خاتمه، موضوع تحقق دیجیتال هدایت و تاثیر نمونه‌برداری مطالعه می‌گردد. نشان داده خواهد شد در پیاده‌سازی رهیافت مطرح شده تا حد خوبی نسبت به دوره تناوب نمونه‌برداری مقاوم خواهد بود.
کلیدواژه‌ها

عنوان مقاله English

Guidance Algorithm via Numerical Optimization in a Constrained Planar Guidance Problem

نویسندگان English

Fatemeh Azarniveh 1
Valiollah Ghaffari 2
Vahid Meygoli 3
1 Faculty of Intelligent Systems Engineering and Data Science, Persian Gulf University, Bushehr, Iran.
2 Faculty of Intelligent Systems Engineering and Data Science, Persian Gulf University, Bushehr, Iran.
3 Faculty of Intelligent Systems Engineering and Data Science, Persian Gulf University, Bushehr, Iran.
چکیده English

This study presents an optimal open-loop guidance strategy for a constrained planar guidance problem using a numerical optimization approach. A simplified model is adopted in which both the target and vehicle maintain constant velocities, and lateral acceleration is treated as the control input. The governing equations are derived accordingly, and variable constraints are explicitly included in the problem formulation. A suitable cost function is designed, and lateral acceleration is computed by optimizing this function under the defined constraints. The proposed method is evaluated through several simulation scenarios to demonstrate its performance. Comparative analysis with proportional navigation highlights the enhanced accuracy and efficiency of the optimized guidance law. Robustness is further assessed by introducing uncertainties, time delays, and external disturbances into the model. Simulation results confirm that the guidance algorithm, designed for the nominal case, maintains reliable performance in the presence of such perturbations. Finally, digital implementation and sampling effects are investigated, showing that the proposed approach remains stable and effective across a range of sampling intervals.

کلیدواژه‌ها English

Guidance Law
Line-of-Sight Angle
Rate of Line-of-Sight Angle
Numerical Optimization
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  • تاریخ دریافت 22 شهریور 1403
  • تاریخ بازنگری 20 مهر 1403
  • تاریخ پذیرش 21 آبان 1403
  • تاریخ اولین انتشار 26 آبان 1403