Sliding Mode Control for Chaotic Systems with Unknown Uncertainties

سال انتشار: 1403
نوع سند: مقاله ژورنالی
زبان: انگلیسی
مشاهده: 29

فایل این مقاله در 8 صفحه با فرمت PDF قابل دریافت می باشد

استخراج به نرم افزارهای پژوهشی:

لینک ثابت به این مقاله:

شناسه ملی سند علمی:

JR_IECO-7-1_005

تاریخ نمایه سازی: 20 فروردین 1403

چکیده مقاله:

Objective: In this article, time-varying chaotic systems with uncertainties, including external disturbances, are considered, and sliding mode control (SMC) is used to control such systems. To control these systems, an autonomous differential equation is first introduced. Then, based on this differential equation, a sliding surface is defined to control this chaotic system. This kind of controller is remarkable in that it removes the effects of disturbances, whether bounded or unbounded. Therefore, the system is known to be fixed-time stable. where the trajectories of this chaotic system are not placed on the sliding surface, we have created creative controllers to place the trajectories on the sliding surface in finite time. Theoretical investigations show that such chaotic systems can be made fixed-time stable by applying the controls proposed in this study. Based on the findings of this study, the controllers are designed to eliminate all disturbances, whether bounded or unbounded. the results be said to apply chaotic, time-dependent, and time-independent systems. To further consolidate the results obtained in this article, two examples, namely the time-dependent system of the Gyro and the time-independent system of the Liu, are investigated, and the results were compared with previous works by other researchers.

نویسندگان

Amir Rezaie

Department of Mathematics, Faculty of Science, University of Zanjan, Zanjan, Iran

مراجع و منابع این مقاله:

لیست زیر مراجع و منابع استفاده شده در این مقاله را نمایش می دهد. این مراجع به صورت کاملا ماشینی و بر اساس هوش مصنوعی استخراج شده اند و لذا ممکن است دارای اشکالاتی باشند که به مرور زمان دقت استخراج این محتوا افزایش می یابد. مراجعی که مقالات مربوط به آنها در سیویلیکا نمایه شده و پیدا شده اند، به خود مقاله لینک شده اند :
  • X. Zhang, X. Liu, and Q. Zhu, Adaptive chatter free ...
  • E. Zeraoulia, and J.C. Sprott, Robust chaos and its applications. ...
  • C. Guanrong, Chaos theory and applications: a new trend. ۲۰۲۱, ...
  • M. Jun, Chaos Theory and Applications:The Physical Evidence, Mechanism are ...
  • S. Vaidyanathan, and C. Volos, Advances and Applications in Chaotic ...
  • A. Ouannas, et al., Synchronization of Fractional Hyperchaotic Rabinovich Systems ...
  • S. Mobayen, et al., Barrier function-based adaptive nonsingular sliding mode ...
  • K. A. Alattas, et al., Nonsingular Integral-Type Dynamic Finite-Time Synchronization ...
  • C. K. Tse, Controlling chaos and bifurcations in engineering systems, ...
  • Z. Liu, and H. Pan, Barrier function-based adaptive sliding mode ...
  • L. Zhang, C. Zhang, and D. Zhao, Control of a ...
  • P. Y. Xiong, et al., Spectral entropy analysis and synchronization ...
  • R. Wang, et al., Fuzzy neural network-based chaos synchronization for ...
  • Z. Ma, et al., Recursive Feasibility and Stability for Stochastic ...
  • A. Modiri, and S. Mobayen, Adaptive terminal sliding mode control ...
  • M. H. Barhaghtalab, S. Mobayen, and F. MerrikhBavat. Design of ...
  • S. Ha, et al., Backstepping-based adaptive fuzzy synchronization control for ...
  • S. Ha, H. Liu, and S. Li, Adaptive fuzzy backstepping ...
  • O. Mofid, S. Mobayen, and M.H. Khooban, Sliding mode disturbance ...
  • H. Jahanshahi, et al., Entropy analysis and neural network-based adaptive ...
  • G. Rigatos, and M. Abbaszadeh, Nonlinear optimal control and synchronization ...
  • C. Letellier, and J. P. Barbot, Optimal flatness placement of ...
  • C. Liu, et al., A new chaotic attractor. Chaos, Solitons ...
  • L. Crespo, and J.Q. Sun, On the Feedback Linearization of ...
  • H. Su, et al., Fixed time stability of a class ...
  • H. Li, et al., Chaos control and synchronization via a ...
  • J. Hu, et al., A survey on sliding mode control ...
  • J. Hu, et al., Design of sliding-mode-based control for nonlinear ...
  • Sliding Mode Control Design for a Class of Nonlinear Fractional Systems with Application to Glucose-Insulin Systems [مقاله ژورنالی]
  • M. K. Naik, et al., Design of a fractional-order atmospheric ...
  • C. Baishya, et al., Chaos control of fractional order nonlinear ...
  • H. Su, et al., Robust fixed time control of a ...
  • A. Rezaie, et al., Design of a Fixed-Time Stabilizer for ...
  • M. A. Sepestanaki, et al., Chattering-Free Terminal Sliding Mode Control ...
  • Y. Chen, X. Li, and S. Liu, Finite-time stability of ...
  • نمایش کامل مراجع