کنترل حالت لغزشی پس‌گام انتگرالی اپیدمی آنفلوانزا در حضور اشباع ورودی و اختلالات خارجی

نویسندگان

1 گروه مهندسی کنترل برق، دانشکده مهندسی برق و کامپیوتر، دانشگاه بیرجند، بیرجند، ایران

2 هیئت علمی / دانشکده مهندسی برق و کامپیوتر / دانشگاه بیرجند

چکیده

این مقاله یک رویکرد کنترل حالت لغزشی مقاوم قوی مبتنی بر پس گام انتگرالی را برای سیستم‌های غیرخطی چند ورودی چند خروجی ارائه می‌کند. طرح کنترل پیشنهادی به اشباع ورودی، عدم قطعیت‌های مدل‌سازی و اختلالات خارجی متغیر با زمان می‌پردازد. برای مقابله با اشباع ورودی، یک سیستم طراحی کمکی جدید و توابع نوسباوم در طرح کنترل گنجانده شده است. رویکرد کنترل پیشنهادی به یک مدل اپیدمی غیرخطی اعمال می‌شود. مدل اپیدمیولوژی آنفولانزا، که شامل پنج متغیر حالت غیر منفی است که نشان دهنده افراد مستعد، در معرض، آلوده، بدون علامت و بهبود یافته است، به همراه سه ورودی کنترل برای واکسیناسیون، درمان ضد ویروسی و فاصله گذاری اجتماعی، در حال مطالعه است. نتایج شبیه‌سازی اثربخشی طرح کنترل پیشنهادی را در مدیریت اشباع ورودی و دستیابی به ردیابی مسیر دقیق نشان می‌دهد، که پتانسیل آن را برای سیستم‌های غیرخطی نامشخص با محدودیت‌های ورودی برجسته می‌کند

کلیدواژه‌ها

موضوعات


عنوان مقاله [English]

Integral Backstepping Sliding Mode Control of Influenza Epidemic in the Presence of Input Saturation and External Disturbances

نویسندگان [English]

  • Fariba Nobakht 1
  • Hussein Eliasi 2
1 Department of Electrical and Computer Engineering, University of Birjand, Birjand, Iran.
2 Department of Electrical and Computer Engineering, University of Birjand, Birjand, Iran.
چکیده [English]

This paper presents a robust sliding mode control approach based on integral backstepping for multi-input multi-output (MIMO) nonlinear systems. The proposed control scheme addresses input saturation, modeling uncertainties, and time-varying external disturbances. A novel auxiliary design system and Nussbaum gain functions are incorporated into the control scheme to tackle input saturation. The proposed control approach is applied to a nonlinear epidemic model. The model of flu epidemiology, which includes five non-negative state variables representing the susceptible, exposed, infected, asymptomatic, and recovered individuals, along with three control inputs for vaccination, antiviral treatment, and social distancing, is being studied. Simulation results demonstrate the effectiveness of the proposed control scheme in handling input saturation and achieving accurate trajectory tracking, highlighting its potential for uncertain nonlinear systems with input constraints.

کلیدواژه‌ها [English]

  • Backstepping sliding mode control
  • Input saturation
  • Nussbaum function
  • Influenza epidemic
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