یک روش هم مکانی برای حل سیستم های کنترل بهینه غیرخطی کسری تأخیری با محدودیت روی متغیرهای حالت و کنترل

نویسندگان
دانشگاه صنعتی اصفهان-دانشکده علوم ریاضی
چکیده
در این تحقیق، یک روش عددی کارآمد برای حل یک کلاس از مسائل کنترل بهینه کسری تأخیری غیرخطی با محدودیت بر روی متغیرهای حالت و کنترل ارائه شده است.

روش پیشنهادی مبتنی بر توابع ترکیبی بلاک-پالس و توابع لژاندر مرتبه کسری است. با استفاده از ماتریس‌های عملیاتی تأخیر و مشتق متناظر با توابع ترکیبی،

مسأله کنترل بهینه اصلی به یک مسأله بهینه‌سازی پارامتری تبدیل می‌شود. نتایج عددی، دقت و اعتبار روش پیشنهادی را نشان می‌دهد.
کلیدواژه‌ها

عنوان مقاله English

A collocation method for solving nonlinear delay fractional optimal control system with constraints on the state and control variables

نویسندگان English

Hamid Reza Marzban
Atiyeh Nezami
Isfahan University of Technology
چکیده English

In this research, an efficient numerical method is presented for solving a class of nonlinear delay fractional optimal control problems with inequality constraints on the state and control variables. The proposed approach is based on the hybrid of block-pulse functions and fractional-order Legendre functions. By using the operational matrices of delay and derivative associated with the hybrid functions, the original optimal control problem is transformed into a parameter optimization one. The numerical results, demonstrate the accuracy and validity of the suggested method.

کلیدواژه‌ها English

delay nonlinear fractional optimal control
hybrid of block-pulse functions and fractional order Legendre functions
Caputo fractional derivative operator
derivative operational matrix
Delay operational matrix
Collocation method
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