طراحی کنترل‌کننده مقاوم LMI برای مبدل SIDO بوست/ بوست مبتنی بر مدل فلوگراف سیگنال
محورهای موضوعی : مهندسی برق و کامپیوترمجید عباسی 1 * , محمدرضا علیزاده پهلوانی 2 , احمد عفیفی 3
1 - دانشگاه صنعتی مالک اشتر
2 - دانشگاه صنعتی مالک اشتر
3 - دانشگاه صنعتی مالک اشتر
کلید واژه: مبدل SIDOمدل فلوگراف سیگنالکنترل مقاومنامساوی LMI,
چکیده مقاله :
در این مقاله مراحل طراحی مقاوم برای یک مبدل تک‌القاگر دوخروجی (SIDO) با استفاده از روش نامساوی ماتریسی (LMI) مورد بررسی قرار گرفته است. با توجه به ساختار پیچیده مبدل از روش فلوگراف سیگنال (SFG) برای مدل‌کردن آن استفاده شده است. با استفاده از مدل استخراج‌شده از SFG، عوامل غیر خطی و نامشخص در قالب یک چندضلعی محدب و به عنوان محدودیت‌های روش LMI در نظر گرفته می‌شوند. مقاوم‌بودن مبدل از طریق حذف تأثیر تغییرات مشخص شده و نیز داشتن پاسخ مناسب از طریق جایدهی قطب‌ها توسط روش LMI تضمین می‌گردد. خروجی‌های به دست آمده بر روی پارامترهای فیدبک حالت اعمال شده و نتایج عملکردی آن در محیط سیمولینک متلب و بر روی مدار سوئیچینگ مورد ارزیابی و صحه‌گذاری قرار گرفته‌اند. در نهایت نتایج به دست آمده با یک کنترل‌کننده PI رایج مقایسه شده است.
A robust control design process based on a linear Matrix Inequalities (LMI) for a Single Inductor Multi Output (SIMO) boost converter has been presented in this paper. Considering complicated multi-stages operation of SIDO converter, Signal Flow Graph (SFG) modelling was used to predict all behavior of the converter. Using the SFG model, nonlinearities and uncertainties was modelled as a convex polytope for LMI design constraints. This method guarantees a certain perturbation rejection level and a region of pole location. The derived parameters from LMI were applied on state-feedback coefficients in Matlab/Simulink to show the validity of the presented LMI method. Finally, the obtained results have been compared with a conventional PI controller.
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