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تحلیل فاصله خطای قانون هدایت صریح مرتبه اول با/بدون اثر رادوم

نوع مقاله : مقالة‌ تحقیقی‌ (پژوهشی‌)

نویسندگان

1 دانشجوی دکتری، دانشکده مهندسی مکانیک، دانشگاه تربیت مدرس، تهران، ایران

2 دانشیار، دانشکده مهندسی مکانیک، دانشگاه تربیت مدرس، تهران، ایران

3 دانشجوی دکتری، دانشکده مهندسی مکانیک، دانشگاه تربیت مدرس، تهران ، ایران

چکیده

در این مقاله، تحلیل فاصله خطای قانون هدایت صریح مرتبه اول با استفاده از معادلات خطی شده به صورت بی‌بعد به منظور به دست آوردن منحنی‌های بی‌بعد فاصله خطا ارائه می‌شود. اثر انحراف سمت اولیه، هدف مانوری با شتاب ثابت، محدودیت شتاب رهگیر، خطای اثر رادوم و همچنین سیستم کنترل دوجمله‌ای مرتبة پنجم در تحلیل حاضر لحاظ شده‌است. علاوه بر این، بازخورد نرخ زاویة بدنی به رابطه قانون هدایت صریح به عنوان یک روش جبران کلاسیک شناخته شدة اثر رادوم، اضافه شده است. این تحلیل برای مقادیر مختلف توان تابع آلفا که به عنوان نرخ کاهش خطای تلاش صفر به ازای ورودی کنترل واحد تعریف می‌شود، انجام شده‌است. در حالت خاص، قانون هدایت صریح به ازای تابع آلفا با توان واحد، منجر به استراتژی هدایت بهینۀ مرتبه اول برای کمینه‌سازی معیار عملکرد انتگرال مجذور دستور شتاب در کل زمان پرواز می‌شود. با استفاده از ترسیم نمودارهای بی‌بعد ریشة مجذور فاصله خطا برحسب ثابت زمانی نرخ چرخش خط‌دید و ضریب شیب رادوم، علاوه بر تحلیل فاصله خطا، محدودة پایداری به ازای مقادیر مختلف توان تابع آلفا حاصل می‌شود.

کلیدواژه‌ها

موضوعات

عنوان مقاله [English]

Miss Distance analysis of First-Order Explicit Guidance Law with/without radome effect

نویسندگان [English]

  • Amirhossein Mirzaei 1
  • S. Hamid Jalali-Naini 2
  • Ali Arabian Arani 3

1 PhD Student, Department of Mechanical Engineering, Tarbiat Modares University, Tehran, Iran

2 Associate Professor, Department of Mechanical Engineering, Tarbiyat Modares of University, Tehran, Iran

3 PhD Student, Department of Mechanical Engineering, Tarbiat Modares University, Tehran, Iran

چکیده [English]

The miss distance analysis of the first-order explicit guidance law (EGL) is carried out using linearized equation of motion in the normalized form in order to obtain normalized miss distance curves. The initial heading error, constant target, acceleration limit, radome refraction error, and fifth-order binomial control system are considered. Moreover, body rate feedback is added to the explicit guidance law as a well-known classical compensation method of the radome effect as in proportional navigation. The analysis is performed for different values of the power of the alpha function, defined as the time decrease rate of the zero-effort miss to unit control input. As a special case, the EGL with unit power gives the first-order optimal guidance strategy for minimizing the integral of the square of the commanded acceleration during the total flight time. For the performance/stability analysis, the rms miss distance versus turning rate time constant and radome slope can be plotted for different values of the power of alpha function.

کلیدواژه‌ها [English]

  • Terminal Guidance
  • explicit guidance
  • optimal Guidance
  • miss distance analysis
  • radome refraction
مراجع
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علوم و فناوری فضایی
دوره 15، شماره 4 - شماره پیاپی 54
دی 1401
صفحه 1-19
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هم رسانی
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