تحلیل پایداری یک کنترلر چند حلقه حاوی رگولاتورهای فیدبک خروجی و اشباع برای موتور هواپیماهای تجاری

نوع مقاله : مقاله پژوهشی

نویسنده

استادیار، دانشگاه بوعلی سینا، همدان، ایران

چکیده

یک روش کارآمد جهت کنترل موتور هواپیماهای تجاری ساختار چندحلقه Min-Max است. در این مقاله، یک کنترلر Min-Max با ساختار سوئیچینگ و حاوی رگولاتورهای فیدبک خروجی و تابع اشباع روی نرخ جریان سوخت برای یک موتور توربوفن طراحی می­شود. علاوه بر عملکرد مطلوب، تحلیل پایداری یک مسئله مهم در فرآیند طراحی کنترلر برای موتورهای هوایی است. به دلیل رفتار سوئیچینگ روش Min-Max، پایداری تک‌تک حلقه‌ها پایداری کل سیستم را تضمین نمی­کند؛ بنابراین یک روش جهت تحلیل پایداری سیستم حلقه بسته ارائه می‌شود. برای این منظور، عملگرهای Min، Max و تابع اشباع با معادل‌های غیرخطی آن‌ها جایگزین شده و ساختار سیستم کنترلی به شکل متعارف سیستم لور تبدیل می­شود. سپس شرایط برای پایداری مجانبی استخراج شده و با استفاده از روش ارائه شده، اثبات پایداری مجانبی برای سیستم حلقه بسته انجام می­گیرد. در یک شبیه‌سازی با مدل غیرخطی از یک موتور توربوفن، عملکرد کنترلر Min-Max طراحی شده در برآوردن تراست و مدیریت قیود با روش Min-Max/SMC مقایسه می‌شود.

کلیدواژه‌ها

عنوان مقاله [English]

Stability Analysis of a Multi-loop Controller Containing Output Feedback Regulators and a Saturation Function for Commercial Aircraft Engines

نویسنده [English]

  • Amin Imani
Assistant Professor, Bu-Ali Sina University, Hamedan, Iran
چکیده [English]

An efficient approach to control the engine of a commercial aircraft is the Min-Max multi-loop structure. In this paper, a Min-Max controller with a switching structure containing output feedback regulators and a saturation function on the fuel flow rate is designed for a turbofan engine. In addition to desirable performance, the stability analysis is an important issue in the process of controller design for aero-engines. Because of the switching behavior of the Min-Max approach, the stability of each single loop by itself does not ensure the stability of the whole system. Therefore, a procedure is provided to analyze the stability of the closed loop system. For this purpose, the Min and Max operators and the saturation function are replaced by their nonlinear equivalents and the structure of the control system is converted to the canonical configuration of the Lure’s system. Then, the conditions for asymptotic stability are extracted and using the presented approach, an asymptotic stability proof is achieved for the closed loop system. In a simulation study with the nonlinear model of a turbofan engine, the performance of the designed Min-Max controller in the thrust attainment and limitation management is compared with the Min-Max/SMC technique.

کلیدواژه‌ها [English]

  • Commercial turbofan engine
  • Min-Max switching structure
  • Output feedback regulator
  • Nonlinear saturation function
  • Asymptotic stability

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مراجع

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مکانیک سیالات و آیرودینامیک
دوره 11، شماره 1 - شماره پیاپی 29
بهار و تابستان 1401
شهریور 1401
صفحه 159-172

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سابقه مقاله

  • تاریخ دریافت: 27 خرداد 1401
  • تاریخ بازنگری: 26 تیر 1401
  • تاریخ پذیرش: 10 مرداد 1401
  • تاریخ انتشار: 01 شهریور 1401

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