تجزیه و تحلیل دینامیکی و همزمان سازی زمان محدود سریع با استفاده از سیستم فوق آشوبی جدید خودگردان
الموضوعات :
جواد مصطفایی
1
,
صالح مبین
2
,
بهروز واثقی
3
,
محمد واحدی
4
1 - دانشکده مهندسی برق- واحد ساوه، دانشگاه آزاد اسلامی، ساوه، ایران
2 - دانشکده مهندسی برق- دانشگاه زنجان، زنجان، ایران
3 - دانشکده مهندسی برق- واحد ابهر، دانشگاه آزاد اسلامی، ابهر، ایران
4 - دانشکده مهندسی برق- واحد ساوه، دانشگاه آزاد اسلامی، ساوه، ایران
الکلمات المفتاحية: سیستم فوق آشوبی جدید, کنترل مودلغزشی سریع, تجزیه‌وتحلیل آشوبی, همزمان‌سازی زمان محدود,
ملخص المقالة :
در این مقاله یک سیستم فوق آشوبی جدید پیچیده با رفتارهای جذاب معرفی خواهیم نمود. ما تجزیه‌وتحلیل‌های استاندارد سیستم‌های فوق آشوبی ازجمله نمودار دوشاخگی، نقاط تعادل، نقشه پوانکاره، بعد کاپلان-یورک و نماهای لیاپانوف را انجام خواهیم داد. از خصوصیات سیستم‌های فوق آشوبی می‌توان به پیچیدگی بالاتر، مقاومت پارامتری بیشتر و حساسیت به تغییرات بسیار کوچک در شرایط اولیه اشاره کرد. در ادامه ثابت خواهیم نمود که سیستم معرفی‌شده بسیار پیچیده‌تر از سیستم‌های فوق آشوبی مشابه است که می‌تواند برای استفاده در رمزگذاری و پنهان‌سازی داده‌ها بسیار ارزشمند باشد. در مرحله بعدی، یک کنترل‌کننده مودلغزشی سریع برای همزمان سازی زمان محدود سیستم فوق آشوبی معرفی خواهیم نمود و پایداری کنترل‌کننده جدید را ثابت خواهیم کرد. نشان خواهیم داد با اعمال اغتشاش و نامعینی به سیستم، هر دو مرحله کنترل مودلغزشی دارای ویژگی‌های همگرایی زمان محدود هستند. سرانجام، مقایسه‌ای بین کنترل‌کننده جدید طراحی‌شده با کنترل‌کننده مشابه ازلحاظ زمان همگرایی انجام خواهد شد. در پایان، نتایج با استفاده از نرم‌افزار متلب شبیه‌سازی و اثبات‌شده‌اند. نتایج نشان می‌دهد سیستم فوق آشوبی جدید با جاذب‌های فراوان بسیار پیچیده‌تر از سیستم‌های مشابه بوده و کنترل‌کننده پیشنهادی نیز پاسخ همگرایی سریع‌تری را نسبت به کنترل‌کننده مشابه، دارا است.
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_||_[1] X. Liu, S. Qi, R. Malekain, Z. Li , "Observer-based composite adaptive dynamic terminal sliding-mode controller for nonlinear uncertain SISO systems", International Journal of Control, Automation and Systems, vol. 17, no. 1, pp. 94-106, Jan. 2019 (doi: 10.1007/s12555-018-0117-7).
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