طراحی کنترل‌کننده پایدار مقاوم بهینه فازی جهت پایدارسازی سرعت خودروی برقی، در حضور عدم قطعیت‌های پارامتری و اغتشاشات خارجی
محورهای موضوعی : مهندسی برق و کامپیوتر
محمد ویسی
1
(دانشگاه پدافند هوایی خاتم‌الانبیاء (ص))
مختار شاصادقی
2
(دانشگاه صنعتی شیراز)
محمدرضا سلطانپور
3
(دانشگاه علوم و فنون هوایی شهید ستاری)
کلید واژه: کنترل‌کننده پایدار مقاوم بهینه فازیجبران‌ساز موازی توزیع‌یافتهخودروی برقینامساوی ماتریسی خطیپایدارسازی,
چکیده مقاله :
در معادلات دینامیکی غیر خطی خودروی برقی، پارامترهایی از قبیل ضریب اصطکاک بین لاستیک و جاده، ضریب کشش، مقاومت آرمیچر و مقاومت سیم‌پیچ میدان، دارای عدم قطعیت هستند. طراحی یک کنترل‌کننده که در حضور این عدم قطعیت‌های پارامتری و همچنین در حضور اغتشاشات خارجی عملکردی مقاوم داشته باشد و از طرفی به طور توأمان معیار بهینگی را نیز ارضا نماید، مسأله‌ای چالش‌برانگیز است. در کاربردهای عملی، علاوه بر مشکل فوق باید حجم محاسبات ورودی کنترل را نیز مد نظر قرار داده و یک تعامل منطقی بین عملکرد مطلوب کنترل‌کننده و حجم محاسبات برقرار نمود. در مقاله پیش روی، بر اساس مدل فازی تاکاگی- سوگنوِ خودروی برقی، یک کنترل‌کننده پایدار مقاوم بهینه فازی مبتنی بر جبران‌ساز موازی توزیع‌یافته طراحی می‌گردد. بهره‌های پسخور پایدارساز مدل فازی، کران بالای عدم قطعیت‌ها، کران بالای اثر اغتشاشات و کران بالای تابع هزینه، از طریق حل یک مسأله کمینه‌سازی و بر اساس نامساوی‌های ماتریسی خطی به صورت کاملاً برون‌خط به دست می‌آیند و لذا حجم محاسبات ورودی کنترل، فوق‌العاده کم است. این امر، امکان پیاده‌سازی عملی کنترل‌کننده پیشنهادی را میسر می‌سازد. عملکرد مطلوب کنترل‌کننده پیشنهادی در شبیه‌سازی‌های پنج مرحله‌ای نمایش داده شده است.
In electric vehicle’s nonlinear dynamic equations, some parameters has uncertainty such as the coefficient of rolling resistance, drag coefficient, armature resistance and field winding resistance. Design of a controller that is robust in the presence of these parametric uncertainties and also in presence of external disturbances, and on the other hand simultaneously satisfies the optimality criteria, is a challenging issue. In practical applications, in addition to the above problem, the computational load of the control input should also be considered and provide a rational interaction between the controller's desirable performance and the calculations volume. In the present paper, a robust optimal stable fuzzy controller based on the parallel distributed compensation is designed, using Takagi-Sugeno fuzzy model of electric vehicle. The stabilizer feedback gains of fuzzy model, the upper bound of the uncertainties, the upper bound of the disturbances effect, and the upper bound of the cost function are obtained completely offline, through the solving of a minimization problem based on the linear matrix inequality. Therefore, the calculation volume of the control input is extremely low. This allows the practical implementation of the proposed controller. The favorable performance of the proposed controller is demonstrated in five-step simulations.
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