همزمان سازی سیستم های آشوبی نامعین با استفاده از سطح لغزشی PID غیرخطی مرتبه کسری
محورهای موضوعی : مهندسی برق ( الکترونیک، مخابرات، قدرت، کنترل)
محمد رسولی
1
,
آصف زارع
2
,
نرگس شفاعی
3
,
حسن یعقوبی
4
1 - دانشکده مهارت و کارآفرینی، واحد مشهد، دانشگاه آزاد اسلامی، مشهد، ایران
2 - Department of Electrical Engineering, Gonabad Branch, Islamic Azad University, Gonabad, Iran
3 - دانشگاه آزاد اسلامی
4 - گروه مهندسی برق، واحد گناباد، دانشگاه آزاد اسلامی، گناباد، ایران
کلید واژه: سیستم آشوبی مرتبه کسری , همزمان سازی , کنترلر لغزشی , تطبیقی مقاوم,
چکیده مقاله :
در این تحقیق روشی برای همزمان سازی مقاوم سیستم های مرتبه کسری آشوبناک ارائه شده است. سیستم های مورد بررسی در این مقاله دارای تاخیر زمانی نامعلوم ، اغتشاش و عدم قطعیت با کران نامعلوم می باشند. وجود تاخیر زمانی پیچیدگی مسئله کنترل را افزایش داده و مجهول بودن آن پیچیدگی پایدار سازی را افزایش می دهد. کران های عدم قطعیت و اغتشاش بعنوان مجهول وارد سیستم کنترل شده و کنترل کننده تطبیقی حاصله از تخمین کران های عدم قطعیت و اغتشاش بهره می برد. برای این منظور ابتدا یک سطح لغزش مبتنی بر تناسبی انتگرال گیر مشتقگیر غیرخطی مرتبه کسری ارائه شده، سپس یک مکانیزم تطبیقی مقاوم جهت همزمانسازی سیستم پایه و پیرو ارائه شده است. با انتخاب تابع لیاپانوف مناسب ضمن اثبات پایداری مکانیزم پیشنهادی و تضمین همگرایی خطای همزمانسازی به سمت صفر ، قواعد بروزرسانی جهت تخمین کران اغتشاش، کران عدم قطعیت و تاخیرهای زمانی سیستم استخراج شده است. رهیافت پیشنهادی بمنظور همزمان سازی سیستم مرتبه کسری جنسیوتسی با پارامترهای متغییر با زمان اعمال شده است که نتایج شبیه سازی عملکرد مناسب رهیافت ارائه شده را بیان می کند. . . . . . . . . . . . . . . . . . . . .
In this research, a method for robust synchronization of chaotic fractional order systems is presented. The systems investigated in this article have an unknown time delay, disturbance and uncertainty with an unknown limit. The presence of time delay increases the complexity of the control problem and its unknownness increases the stabilization complexity. Uncertainty and disturbance limits are entered into the control system as unknowns and the adaptive controller uses the estimation of uncertainty and disturbance limits. For this purpose, first, a sliding surface based on the proportionality of the fractional-order non-linear derivative-integrator is presented, then a robust adaptive mechanism for synchronizing the base and follower systems is presented. By choosing the appropriate Lyapunov function while proving the stability of the proposed mechanism and guaranteeing the convergence of the synchronization error to zero, the update rules have been extracted to estimate the disturbance limit, uncertainty limit and time delays of the system. The proposed approach has been applied in order to synchronize the fractional order system with time-varying parameters, which shows the simulation results of the appropriate performance of the proposed approach. . . .. . . . .. . . . . . . . . . . .
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