کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
758699 1462625 2015 14 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Stabilizing the unstable periodic orbits of a hybrid chaotic system using optimal control
ترجمه فارسی عنوان
تثبیت مدارهای دوره ای نامنظم سیستم هیجانی با استفاده از کنترل بهینه
موضوعات مرتبط
مهندسی و علوم پایه سایر رشته های مهندسی مهندسی مکانیک
چکیده انگلیسی


• We present a method to control the UPO’s of a hybrid chaotic system.
• Our method is based on optimization of switching instants.
• Our method is suitable for time dependent and state dependent switching.
• Our method is applied successfully to stabilize UPO’s of Chua’s system.

In this paper, we are interested in the control of a chaotic hybrid system with an application to Chua’s system. It is known that chaotic attractors contain an infinite number of unstable periodic orbits (UPO) with different lengths, our idea consists in stabilizing a predetermined orbit of a given length by using an optimal control method. Our approach is to determine the switching instants from one subsystem to the other while minimizing the difference between two successive orbits. Should the switchings be state dependent, as is the case for the well known Chua’s circuit, then our approach consists in perturbing the switching boundaries such that the system trajectory hits those boundaries at the specified instants. Numerical simulations illustrating the efficiency of the proposed method are presented.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Communications in Nonlinear Science and Numerical Simulation - Volume 20, Issue 3, March 2015, Pages 1043–1056
نویسندگان
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