هدایت تناسبی با ضریب ناوبری متغیر بر حسب زاویه بردار سرعت نسبی با خط دید و نرخ آن

نوع مقاله: مقالة‌ تحقیقی‌ (پژوهشی‌)

نویسندگان

1 عضو هیئت علمی دانشکده مهندسی مکانیک دانشگاه تربیت مدرس

2 دانشکده مکانیک، دانشگاه تربیت مدرس

چکیده

در تحقیق حاضر، عملکرد قانون هدایت تناسبی حقیقی با پروفیل‌های مختلف ضریب ناوبری متغیر برحسب زاویه بین بردار سرعت نسبی و خط‌‌دید در حالت خطای سمت اولیه و هدف با مانور ثابت بررسی شده‌است. از آنجایی که انتخاب پروفیل مناسب در حالت خطای سمت اولیه و مانور ثابت هدف، تقریباً عکس یکدیگر شده-است، یک ضریب ناوبری متغیر تابعی از دو پارامتر زاویة مذکور و نرخ آن ارائه شده‌است. به این طریق فاصله خطا، بطور نمونه برای ضریب ناوبری 4، برای دو قله نخست نمودار فاصله خطای بی‌بعد برحسب زمان بی‌بعد کاهش می‌یابد. تحلیل حاضر با استفاده از معادلات بی‌بعد در مختصات قطبی برای دو سیستم کنترل ایده‌ال و دوجمله‌ای مرتبه 5 بدون شتاب اشباع انجام شده‌است. به لحاظ کاربردی، نتایج به ازای ضرایب ناوبری 3 تا 5 تنظیم شده‌است.

کلیدواژه‌ها


عنوان مقاله [English]

Proportional Navigation Guidance with Variable Navigation Ratio in terms of the angle of relative velocity with respect to Line-of-Sight and its Rate

نویسندگان [English]

  • S. Hamid Jalali-Naieni 1
  • Ali Arabian Arani 2
1 Faculty of Mechanical Engineering Tarbiat Modares University
2 Dept of Mechanical Engineering, Tarbiat Modares University
چکیده [English]

In the present work, the performance of True Proportional Navigation (TPN) with different profiles for effective navigation ratio in terms of the relative velocity angle with respect to line-of-sight is investigated due to initial heading errors and target maneuvers. Since an appropriate profile of effective navigation ratio for heading error is almost in contrary with the appropriate profile for maneuvering targets, a variable effective navigation ratio in terms of the relative velocity angle and its rate is introduced. In this way, the miss distance (MD) for the first two peaks of the normalized MD graph versus normalized final time, for example under an effective navigation ratio of 4, is reduced together. The analysis is carried out using normalized equations in polar coordinates for perfect and binomial fifth-order control systems without acceleration limit. Due to practical consideration, the effective navigation ratio is tuned and limited between 3 and 5.

کلیدواژه‌ها [English]

  • Proportional navigation
  • variable navigation ratio
  • miss distance
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