
تعداد نشریات | 21 |
تعداد شمارهها | 610 |
تعداد مقالات | 9,027 |
تعداد مشاهده مقاله | 67,082,787 |
تعداد دریافت فایل اصل مقاله | 7,656,233 |
State estimation of T and Chen chaotic dynamics using sliding mode control | ||
International Journal of Nonlinear Analysis and Applications | ||
مقاله 81، دوره 14، شماره 4، تیر 2023، صفحه 391-404 اصل مقاله (842.28 K) | ||
نوع مقاله: Research Paper | ||
شناسه دیجیتال (DOI): 10.22075/ijnaa.2022.26103.3230 | ||
نویسندگان | ||
Suresh Rasappan* 1؛ Regan Murugesan2؛ Sathish Kumar Kumaravel2 | ||
1Mathematics Section, College of Computing and Information Sciences, University of Technology and Applied Sciences, Ibri, PO Box 466, Postal Code 516, Oman | ||
2Department of Mathematics, Vel Tech Rangarajan Dr. Sagunthal R \& D Institute of Science and Technology, Tamil Nadu Chennai, India | ||
تاریخ دریافت: 10 بهمن 1400، تاریخ بازنگری: 24 شهریور 1401، تاریخ پذیرش: 31 شهریور 1401 | ||
چکیده | ||
This paper deals with the estimation of the synchronization of two identical systems such as $T$ chaotic systems and Chen chaotic systems. In addition to that, it describes the estimation of the synchronization of one more non-identical system which combines Chen and $T$ systems. The sliding mode control method has been implemented to synchronize two identical systems such as $T$ systems and Chen systems, also the method can be used to synchronize the non-identical chaotic systems, viz. Chen and $T$ systems. The numerical simulation part has been carried out via MATLAB software which strengthens our derived results. | ||
کلیدواژهها | ||
Chaos synchronization؛ Sliding Mode control؛ Chen system؛ T system | ||
مراجع | ||
[1] M. Afshari, S. Mobayen, R. Hajmohammadi and D. Baleanu, Global sliding mode control via LMI approach for uncertain chaotic systems with input nonlinearities and multiple delays, J. Comput. Nonlinear Dyn. 13 (2018), no. 3, 737–744. [2] M. Derakhshannia and S.S. Moosapour, Disturbance observer-based sliding mode control for consensus tracking of chaotic nonlinear multi-agent system, Math. Comput. Simul. 194 (2022), 610–628. [3] N. Ghafoori Adl, D. Ebrahimi Bagha and M. Sadegh Asgari, Coupled fixed points of generalized Kanann contraction and its applications, Int. J. Nonlinear Anal. Appl. 9 (2018), no. 2, 169–178. [4] J. Li, J. Cao and H. Liu, State observer-based fuzzy echo state network sliding mode control for uncertain strictfeedback chaotic systems without backstepping, Chaos Solitons Fractals 162 (2022), 112442. [5] L. Liu, Z. Han and W. Li, Global sliding mode control and application in chaotic systems, Nonlinear Dyn. 56 (2009), no. 1, 193–198. [6] S.K. Kumaravel, S. Rasappan and K. Raja Mohan, Synchronization of time-delay chaotic system with uncertainties in terms of Takagi–Sugeno fuzzy system, Fuzzy Intel. Syst. Method. Tech. Appl. Chapter 10 (2021), 285–313. [7] J. Marzbanrad and S.S. Hosseini, A new semi-active magnetorheological engine mounts for improving vehicle ride comfort using sliding mode controller, Int. J. Nonlinear Anal. Appl. 10 (2019), no. Special Issue, 1-11. [8] R. Murugesan, S. Rasappan, P. Rajan and S.K. Kumaravel, Synchronization of Liu-Su-Liu and Liu-Chen-Liu chaotic systems by nonlinear seedback control, J. Comput. Theor. Nanosci. 16 (2019), no. 12, 4903-4907.. [9] Y. Niu, D.W.C. Ho and X. Wang, Sliding mode control for Itˆo stochastic systems with Markovian switching, Automatica 43 (2007), no. 10, 1784–1790. [10] P. Pal, V. Mukherjee, H. Alemayehu, G.G. Jin and G. Feyisa, Generalized adaptive backstepping sliding mode control for synchronizing chaotic systems with uncertainties and disturbances, Math. Comput. Simul. 190 (2021), 793–807. [11] S. Rasappan and K.A. Niranjan Kumar, Dynamics, control, stability, diffusion and synchronization of modified chaotic colpitts oscillator, Arch. Control Sci. 31 (2021). [12] S. Rasappan and S. Vaidyanathan, Hybrid synchronization of n-scroll chaotic Chua circuits using adaptive backstepping control design with recursive feedback, Malay. J. Math. Sci. 7 (2013), no. 2, 219–246. [13] S. Rong, H. Wang, H. Li, W. Sun, Q. Gu and J. Lei, Performance-guaranteed fractional-order sliding mode control for under actuated autonomous underwater vehicle trajectory tracking with a disturbance observer, Ocean Engin. 263 (2022), 112330. [14] S. Vaidyanathan and S. Rasappan, Global chaos synchronization of n-scroll Chua circuit and Lur’e system using backstepping control design with recursive feedback, Arab. J. Sci. Engin. 39 (2014), no. 4, 3351–3364. [15] H. Wang, Z.Z. Han, Q.Y. Xie and W. Zhang, Sliding mode control for chaotic systems based on LMI, Commun. Nonlinear Sci. Numer. Simul. 14 (2009), no. 4, 1410–1417. [16] L. Wu and D.W. Ho, Sliding mode control of singular stochastic hybrid systems, Automatica 46 (2010), no. 4, 779–783. [17] R. Xu, Z. Liu and Y. Liu, State-estimation-based adaptive sliding mode control for a class of uncertain time-delay systems: a new design, Int. J. Syst. Sci. 53 (2022), no. 2, 375–387. [18] Y. Xu, H. Wang, D. Liu, D and H. Huang, Sliding mode control of a class of fractional chaotic systems in the presence of parameter perturbations, J. Vibrat. Control 21 (2015), no. 3, 435–448. [19] Q. Zhang, L. Li, X.G. Yan and S.K. Spurgeon, Sliding mode control for singular stochastic Markovian jump systems with uncertainties, Automatica 79 (2017), 27–34. | ||
آمار تعداد مشاهده مقاله: 16,355 تعداد دریافت فایل اصل مقاله: 350 |