تجزیه و تحلیل دینامیکی و همزمان سازی زمان محدود سریع با استفاده از سیستم فوق آشوبی جدید خودگردان

نوع مقاله : مقاله پژوهشی

نویسندگان

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

چکیده

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 همزمان­سازی 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.

کلیدواژه‌ها

موضوعات


عنوان مقاله [English]

Dynamical Analysis and Finite-Time Fast Synchronization of a Novel Autonomous Hyper-Chaotic System

نویسندگان [English]

  • Javad Mostafaee 1
  • Saleh Mobayen 2
  • Behrouz Vaseghi 3
  • Mohammad Vahedi 1
1 Department of Electrical Engineering- Saveh Branch, Islamic Azad University, Saveh, Iran.
2 Department of Electrical Engineering- University of Zanjan, Zanjan, Iran.
3 Department of Electrical Engineering- Abhar Branch, Islamic Azad University, Abhar, Iran.
چکیده [English]

This paper constructs a new complex hyper-chaotic system with attractive coexisting dynamic behaviors. We analyze the hyper-chaotic attractors, equilibrium points, Poincaré maps, Kaplan-York dimension, and Lyapunov exponent behaviors. The characteristics of hyper-chaotic systems include higher complexity, higher parametric resistance and sensitivity to very small changes in initial conditions. We prove that the introduced hyper–chaotic system is much more complex than the similar hyper-chaotic systems, that can suitable for use in encryption and secure communication. Next, the work describes a fast terminal sliding mode controller scheme for the fast synchronization and stability of the new complex hyper–chaotic system. It is shown that by applying uncertainty to the system, both steps of the sliding mode control have finite-time convergence properties. Next, a comparison will be made between a newly designed controller and a similar. Finally, using the MATLAB simulation, the results are confirmed for the new system. The results shown that the new hyper-chaotic system with many adsorbents is much more complex than similar systems, and the proposed controller has a faster convergence response than the similar controller.

کلیدواژه‌ها [English]

  • New hyper-chaotic system
  • Chaotic analysis
  • finite-time synchronization
  • fast terminal sliding mode control
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