نویسندگان
1 مهندسی مکانیک، دانشگاه صنعتی سهند، تبریز
2 ریاضیات کاربردی، دانشگاه صنعتی سهند، تبریز
چکیده
راحتی سفر و ماندگاری خودرو روی جاده از مهم‌ترین معیارها در طراحی سیستم تعلیق فعال خودرو هستند، که به‌دلیل محدودیت عملگر در تولید نیروی کنترلی، مسئله طراحی کنترل‌کننده برای این سیستم همواره با قید در ورودی کنترلی همراه است. در این مقاله یک روش جدید طراحی کنترل‌کننده غیرخطی بهینه برای سیستم تعلیق فعال خودرو با در نظر گرفتن قید روی ورودی کنترلی ارائه می‌شود. در روش کنترلی پیشنهادی، ابتدا یک شاخص عملکرد شبه نقطه‌ای به‌صورت ترکیب وزن‌داری از پاسخ‌های پیش‌بینی شده سیستم و ورودی کنترلی تعریف می‌شود. سپس مسئله کمینه کردن شاخص عملکرد در حضور قید ورودی، به‌صورت یک مسئله بهینه‌سازی غیرخطی مقید فرمول‌‌بندی شده و با استفاده از الگوریتم کرم شب‌تاب توسعه‌یافته حل می‌شود، تا قانون کنترل مقید به‌دست آید. به‌منظور ارزیابی عملکرد الگوریتم کنترلی ارائه شده، نتایج شبیه‌سازی سیستم کنترل شده با روش جدید در دو حالت نامقید و مقید بررسی می‌شوند. نتایج نشان‌دهنده عملکرد مطلوب کنترل‌کننده مقید ارائه شده در بهبود راحتی سفر با وجود قید روی ورودی کنترلی است، ضمن اینکه سایر پاسخ‌های سیستم تعلیق اعم از جابه‌جایی تعلیق و تایر در محدوده قابل قبول قرار می‌گیرند. همچنین به‌منظور صحه‌گذاری بر روش پیشنهاد شده، نتایج این روش‌ها با روشهای کنترل مد لغزشی و مدل کنترل پیش‌بینی غیرخطی در حالت مقید و در حضور نامعینی مقایسه شده است.
کلیدواژه‌ها
عنوان مقاله [English]
Design of a Constrained Nonlinear Controller using Firefly Algorithm for Active Suspension System
نویسندگان [English]
- Z. Z. Ahangari Sisi 1
- M. Mirzaei 1
- S. Rafatnia 1
- B. Alizadeh 2
چکیده [English]
Active vehicle suspension system is designed to increase the ride comfort and road holding of vehicles. Due to limitations in the external force produced by actuator, the design problem encounters the constraint on the control input. In this paper, a novel nonlinear controller with the input constraint is designed for the active suspension system. In the proposed method, at first, a constrained multi-objective optimization problem is defined. In this problem, a performance index is defined as a weighted combination of the predicted responses of the nonlinear suspension system and control input. Then, this problem is solved by the modified firefly optimization algorithm to find the constrained optimal control input. To evaluate the performance of the proposed method, the results of the unconstrained and constrained controllers are provided and discussed for various road excitations. The results show a remarkable increase in the ride comfort with the limited force, while other suspension outputs including the suspension travel and tire deflection being in the acceptable ranges. In addition, these controllers are compared with Sliding Mode Control (SMC) and Nonlinear Model Predictive Control (NMPC) in the presence of model uncertainty.
کلیدواژه‌ها [English]
- Active suspension system
- Nonlinear control
- Constrained optimal control
- Input constraint
- Firefly algorithm
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