کنترل همزمان ساز تطبیقی سیستم‌های غیرخطی آشوب در حضور اشباع ورودی و عیب عملگر

نوع مقاله: مقاله پژوهشی

نویسندگان

1 کارشناس ارشد - دانشکده مهندسی برق، واحد نجف‌آباد، دانشگاه آزاد اسلامی، نجف‌آباد، ایران

2 استادیار – دانشکده مهندسی برق، واحد نجف‌آباد، دانشگاه آزاد اسلامی، نجف‌آباد، ایران

چکیده

در این مقاله، یک کنترل کننده تطبیقی برای کنترل سیستم‌های غیرخطی جرک در معرض پارامترهای نامعین و محدودیت‌های کنترلی عیب عملگر و اشباع ورودی ارائه شده است. عیب عملگر در نظر گرفته شده عیوب کاهش کارایی و قفل شونده را پوشش می‌دهد. مقدار، زمان و الگوی عیوب در نظر گرفته شده کاملاً نامعین است یعنی مشخص نیست در چه زمانی، کدام عملگرها و با چه وضعیتی دچار عیب می‌شوند.کنترل کننده تطبیقی مقاوم پیشنهادی بر اساس روش کنترلی گام به عقب طراحی شده است. در این مقاله، با معرفی توابع لیاپانوف- کراسوسکی جدید، کرانداری سیگنالهای سیستم حلقه بسته و همگرایی خطای تعقیب به یک همسایگی نزدیک مبدأ تضمین شده است. روش تطبیقی پیشنهادی، عیوب عملگر را بدون نیاز به واحد تشخیص عیب جبران می‌کند. نتایج شبیه سازی، کارایی و صحت روش کنترلی ارائه شده را در همزمان سازی سیستم آشوب در حضور عیب عملگر، اشباع ورودی و نامعینی پارامتری نشان می‌دهد.

کلیدواژه‌ها

موضوعات


عنوان مقاله [English]

Adaptive synchronization control of chaotic nonlinear systems in the presence of input saturation and actuator faults

نویسندگان [English]

  • Amir Pooyan 1
  • mahnaz hashemi 2
1 MSc - Department of Electrical Engineering, Najafabad Branch, Islamic Azad University, Najafabad, Iran
2 Assistant Professor - Department of Electrical Engineering, Najafabad Branch, Islamic Azad University, Najafabad, Iran
چکیده [English]

In this paper, the control problem is investigated for Jerk chaotic systems against unknown parameters, actuator faults and input saturation. The considered actuator fault covers both of the stuck faults and loss of effectiveness faults in actuators. The values, times and patterns of the considered faults are completely unknown. That is, during the system operation it is unknown when, by how much and which actuators fail. A robust adaptive controller is presented based on the backstepping design method to achieve complete synchronization of the identical Jerk chaotic systems. By introducing the new Lyapunov functions, it is proved that all the closed loop signals are bounded and the tracking error converges to a small neighborhood of the origin. The proposed adaptive method compensates the actuator faults without any need for explicit fault detection. Simulation results represent that the designed controller can synchronize the identical chaotic systems in the presence of actuator fault, input saturation and unknown parameters.
 

کلیدواژه‌ها [English]

  • Input Saturation
  • Chaotic systems
  • Actuator fault
  • Adaptive control
  • Backstepping control method
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