طراحی مسیر بهینه برای ربات فضایی شناور - آزاد در حرکت نقطه به نقطه به روش غیرمستقیم

نوع مقاله : مقاله پژوهشی

نویسندگان

1 عضو هیات علمی / دانشکدة مهندسی مکانیک، آزمایشگاه رباتیک و کنترل، دانشگاه سمنان

2 کارشناس ارشد مهنـدسی مکانیک / آزمایشگاه رباتیک و کنترل، دانشکدة مهندسی مکانیک، دانشگاه سمنان

چکیده

در این مقاله روشی جدید براساس حل غیرمستقیم مسئلة کنترل بهینه برای طراحی مسیر بهینة ربات فضایی شناور - آزاد، در حرکت نقطه به نقطه ارائه شده است. برای این منظور، معادلات دینامیکی سیستم در کنار قیود غیرهولونومیک ناشی از برقراری قانون بقای ممنتم زاویه‌ای در فرم فضای حالت استخراج می‌شود. سپس با استفاده از قضیة اساسی حساب تغییرات، شرایط لازم بهینگی به‌دست می‌آید. معادلات حاصل به یک مسئلة مقدار مرزی دونقطه‌ای منجر می‌شود که حل آنها مسیر بهینه و تابع کنترل بهینه را نتیجه خواهد داد. در روش ارائه‌شده می‌توان هم فضاپیما و هم منیپولاتور را از موقعیت اولیه به موقعیت نهایی به‌گونه‌ای رساند که علاوه بر برآوردن دقیق شرایط مرزی، معادلات دینامیکی و قیود غیرهولونومیک، یک تابع عملکرد همچون توان یا گشتاور مصرفی نیز کمینه شود. در این مقاله شبیه‌سازی برای یک ربات فضایی شناور - آزاد دو لینکی انجام شده، نتایج حاصل با کارهای قبلی مقایسه و نهایتاً کارایی روش پیشنهادی در کاهش حرکت پایه نمایش داده شده است.

کلیدواژه‌ها

موضوعات

عنوان مقاله [English]

Optimal trajectory planning of free-floating space robot using indirect approach in point to point motion

نویسندگان [English]

  • Amin Nikoobin 1
  • Nastaran Samani 2
1
2
چکیده [English]

In this paper, a new method on the base of the indirect solution of optimal control problem is presented for trajectory planning of Free-Floating Space Robot (FFSR) in point to point motion. To this end, dynamic equations of the system beside the non-holonomic constraints due to angular momentum conservation low are derived in the state space form. Then the necessary conditions for optimality are derived using the fundamental theorem calculus of variations. The obtained equations lead to a two-point boundary value problem (BVP) which its solution result in optimal trajectory and optimal control function. In  the proposed method, both manipulator and base moves from the initial pose to the final pose in such a way that all the boundary conditions, dynamic equations and non-holonomic constraints are satisfied, and a given performance index such as consumed power or torque is also minimized. Simulations are performed for a two-link free-floating space manipulator and the obtained results are compared with the previous works, and the efficiency of proposed method to reduce the base movement is illustrated.

کلیدواژه‌ها [English]

  • free-floating space manipulator
  • optimal trajectory planning
  • point to point motion
  • optimal control
  • indirect method

مراجع

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دانش و فناوری هوافضا
دوره 5، شماره 1 - شماره پیاپی 1
اردیبهشت 1395
صفحه 17-30

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