ارائه یک روش جدید به منظور تخمین برخط تأخیر زمانی در سیستم‌های SISO-LTI با تأخیر زمانی متغیر با زمان و نامعلوم در ورودی کنترلی
الموضوعات :
هادی چهکندی نژاد
1
(دانشگاه آزاد اسلامی واحد بیرجند)
محسن فرشاد
2
(دانشگاه بیرجند)
رمضان هاونگی
3
(دانشگاه بیرجند)
الکلمات المفتاحية: فیلتر کالمن سیستم‌های L.T.I. تأخیر زمانی متغیر در ورودیعدم قطعیتتخمینگر تأخیر,
ملخص المقالة :
در این مقاله یک تخمینگر نوین برای تخمین بلادرنگ تأخیر زمانی در سیستم‌های L.T.I. تک‌ورودی- تک‌خروجی، با تأخیر متغیر با زمان و نامعلوم در ورودی کنترلی ارائه شده است. واضح است که تابع تبديل لاپلاس یک سیستم تأخیردار، شامل یک عامل تأخیر زمانی (عامل نمایی و غیر گویا) است. در این مقاله فرض بر این است که تنها پارامتر نامعلوم و متغیر با زمان در سیستم، پارامتر تأخیر زمانی سیستم است. در راستای طراحی تخمینگر پیشنهادی، ابتدا بایستی به منظور گویاکردن تابع تبديل سیستم، از یک تقریب پده (Pade) برای عامل نمایی تأخیر زمانی استفاده شود. لذا تابع تبديل جدید که تقریبی از تابع تبديل اصلی سیستم است، شامل یک پارامتر (متغیر با زمان) تأخیر زمانی خواهد بود. پس از نوشتن یک تحقق فضای حالت، از تابع تبديل مذکور و در نظر گرفتن پارامتر تأخیر زمانی به عنوان یک متغیر حالت اضافی، یک سیستم با معادلات حالت غیر خطی تولید خواهد شد. نهایتاً با استفاده از یک فیلتر کالمن (خطی و توسعه‌یافته برای معادلات حالت خطی‌سازی شده و غیر خطی) حالت‌های این سیستم، از جمله تأخیر زمانی سیستم، پیش‌بینی می‌شوند. در پایان، نتایج شبیه‌سازی‌ها، عملکرد نسبتاً مطلوب تخمینگر پیشنهادی در مواجهه با تأخیرهای متغیر با زمان و نامعلوم را نشان می‌دهند.
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