PL EN


Preferencje help
Widoczny [Schowaj] Abstrakt
Liczba wyników
Czasopismo
2015 | 13 | 1 |
Tytuł artykułu

Single state feedback stabilization of unified chaotic systems and circuit implementation

Treść / Zawartość
Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
This paper focuses on the single state feedback stabilization problem of unified chaotic system and circuit implementation. Some stabilization conditions will be derived via the single state feedback control scheme. The robust performance of controlled unified chaotic systems with uncertain parameter will be investigated based on maximum and minimum analysis of uncertain parameter, the robust controller which only requires information of a state of the system is proposed and the controller is linear. Both the unified chaotic system and the designed controller are synthesized and implemented by an analog electronic circuit which is simpler because only three variable resistors are required to be adjusted. The numerical simulation and control in MATLAB/Simulink is then provided to show the effectiveness and feasibility of the proposed method which is robust against some uncertainties. The results presented in this paper improve and generalize the corresponding results of recent works.
Wydawca

Czasopismo
Rocznik
Tom
13
Numer
1
Opis fizyczny
Daty
otrzymano
2014-06-28
zaakceptowano
2014-09-05
online
2014-11-11
Twórcy
  • School of Information Science and Engineering, Northeastern University, Shenyang, Liaoning, 110819, People’s Republic of China
  • School of Computer and Communication Engineering, Northeastern University, Qinhuangdao, Hebei, 066004, People’s Republic of China
autor
  • School of Information Science and Engineering, Northeastern University, Shenyang, Liaoning, 110819, People’s Republic of China, pinghecn@126.com
  • Department of Electromechanical Engineering, Faculty of Science and Technology, University of Macau, Taipa, 999078, Macao Special Administrative Region
autor
  • School of Automation and Electronic Information, Sichuan University of Science and Engineering, Zigong, Sichuan, 643000, People’s Republic of China
  • Artificial Intelligence Key Laboratory of Sichuan Province, Sichuan University of Science and Engineering, Zigong, Sichuan, 643000, People’s Republic of China
autor
  • Department of Electromechanical Engineering, Faculty of Science and Technology, University of Macau, Taipa, 999078, Macao Special Administrative Region
  • School of Automation and Electronic Information, Sichuan University of Science and Engineering, Zigong, Sichuan, 643000, People’s Republic of China
  • Artificial Intelligence Key Laboratory of Sichuan Province, Sichuan University of Science and Engineering, Zigong, Sichuan, 643000, People’s Republic of China
autor
  • School of Information Science and Engineering, Northeastern University, Shenyang, Liaoning, 110819, People’s Republic of China
  • School of Computer and Communication Engineering, Northeastern University, Qinhuangdao, Hebei, 066004, People’s Republic of China
Bibliografia
  • [1] E.N. Lorent, J. Atm. Sci. 20, 130 (1963)
  • [2] P. He, WASET 5, 784 (2011)
  • [3] C.-Z. Chen, T. Fan, B.-R. Wang, H. Saberi Nik, P. He, J. App. NonlinearDyn. 3, 173 (2014)
  • [4] P. He, H.-Y. Lan, G.-Q. Tan, WASET 5, 779 (2011)
  • [5] E. Ott, C. Grebogi, J.A. Yorke, Phys. Rev. Lett. 64, 1196 (1990)[Crossref]
  • [6] J.B. Gonpe Tafo, L. Nana, T.C. Kofane, Phys. Rev. E 88, 032911(2013)
  • [7] F.T. Arecchi, S. Boccaletti, M. Ciofini, R. Meucci, C. Grebogi, IJBC8, 1643 (1998)
  • [8] S. Jiménez, J.A. González, L. Vázquez, IJBC 23, 1350089 (2013)
  • [9] L.M. Pecora, T.L. Carroll, Phys. Rev. Lett. 64, 821 (1990)[Crossref]
  • [10] T.L. Carroll, L.M. Pecora, IEEE T. Circuits Syst. 38, 453 (1991)[Crossref]
  • [11] W.-H. Chen, Z.Wang, X. Lu, IEEE T. Circuits Syst. II: Express Briefs59, 515 (2012)
  • [12] P. He, S.-H. Ma, T. Fan, Chaos 22, 043151 (2012)[Crossref]
  • [13] D. Yang, J. Zhou, Commun. Nonlinear Sci. Numer. Simul. 19,3954 (2014)[Crossref]
  • [14] P. He, C.-G. Jing, T. Fan, C.-Z. Chen, Int. J. Control Autom. 6, 197(2013)
  • [15] S. Effati, J. Saberi-Nadjafi, H. Saberi Nik, Appl.Math. Modell. 38,759 (2014)[Crossref]
  • [16] P. He, C.-G. Jing, C.-Z. Chen, T. Fan, H. Saberi Nik, Pramana J.Phys. 82, 499 (2014)[Crossref]
  • [17] G. Chen, X. Dong, IEEE T. Circuits Syst. I: Fundam. Theory Appl.40, 591 (1993)[Crossref]
  • [18] K. Kemih, M. Halimi, M. Ghanes, H. Fanit, H. Salit, EPJ SpecialTopics 223, 1579 (2014)
  • [19] A. Ikhlef, N. Mansouri, Chaos Complex Systems (Springer,Berlin-Heidelberg, 2013) 307
  • [20] W.M. Bessa, A.S. de Paula, M.A. Savi, ZAMM 94, 256 (2014)
  • [21] S. Mobayen, Nonlinear Dyn. 77, 1047 (2014)
  • [22] C.-F. Hsu, Neurocomputing 123, 197 (2014)[Crossref]
  • [23] R.-E. Precup, M.-L. Tomescu, C.-A. Dragos, Int. J. Gen. Syst. 43,413 (2014)[Crossref]
  • [24] P. He, Q. Zhang, C.-G. Jing, C.-Z. Chen, T. Fan, Opt. Control Appl.Met. 35, 676 (2014)[Crossref]
  • [25] S. Mobayen, J. Vib. Control (2014)
  • [26] P. He, C.-G. Jing, T. Fan, C.-Z. Chen, Complexity 19, 10 (2014)[Crossref]
  • [27] S. Mobayen, Nonlinear Dyn. 76, 827 (2014)
  • [28] P. He, C.-G. Jing, T. Fan, C.-Z. Chen, Int. J. Control Autom. 7, 223(2013)
  • [29] S. Mobayen, V.J. Majd, Nonlinear Dyn. 70, 171 (2012)
  • [30] Y.-P. Zhao, P. He, H. Saberi Nik, J. Ren, Complexity (2014)
  • [31] U.E. Kocamaz, Y. Uyaroglu, Nonlinear Dyn. 75, 63 (2014)
  • [32] D.Q. Wei, X.S. Luo, B. Zhang, Y.H. Qin, Nonlinear Anal. Real. 11,1752 (2010)
  • [33] V. Pyragas, K. Pyragas, Phys. Rev. E Stat. Nonlinear Soft MatterPhys. 73, 036215 (2006)[Crossref]
  • [34] W. Nan, L. GuoNing, P. Xuanzhe, C. Yingkai, A research on timedelay feedback control performance in chaotic system of dc-dcinverter, In IEEE International Conference on Vehicular Electronicsand Safety (IEEE, Piscataway, NJ, USA, 2013) 215
  • [35] N. Li, H. Yuan, H. Sun, Q. Zhang, Nonlinear Dyn. 73, 1187 (2013)
  • [36] J. Lu, Z. Ma, L. Li, Commun. Nonlinear Sci. Numer. Simul. 14,3037 (2009)[Crossref]
  • [37] M. Prian, M.J. L(ó)pez, F.M. Verdulla, IEEE Latin America T. 9, 255(2011)[Crossref]
  • [38] N.J. Corron, S.D. Pethel, B.A. Hopper, Phys. Rev. Lett. 84, 3835(2000)[Crossref]
  • [39] P. Sah, S. Dey, arXiv preprint arXiv:1307.1917
  • [40] H.Wang, Z. Han,W. Zhang, Q. Xie, J. Sound Vib. 320, 365 (2009)[Crossref]
  • [41] G. Chen, X. Yu, Chaos control: theory and applications(Springer, Berlin, Germany, 2003)
  • [42] D. Huang, Phys. Rev. Lett. 93, 214101 (2004)[Crossref]
  • [43] R.-W. Guo, U.E. Vincent, Chinese Phys. Lett. 26, 090506 (2009)[Crossref]
  • [44] K.M. Cuomo, A.V. Oppenheim, S.H. Strogatz, IEEE T. CircuitsSyst. II: Analog Digital Signal Proc. 40, 626 (1993)
  • [45] H.-C. Chen, B.-Y. Liau, Y.-Y. Hou, Sensors 13, 2494 (2013)[Crossref]
  • [46] G.Q. Zhong, W.K.S. Tang, IJBC 12, 1423 (2002)
  • [47] F. Han, Y.Wang, X. Yu, Y. Feng, Chaos Soliton. Fract. 21, 69 (2004)[Crossref]
  • [48] A. Jimenez, E.N. Sanchez, G. Chen, J.P. Perez, Int. J. Circuit Theor.Appl. 37, 887 (2009)[Crossref]
  • [49] J. Lü, G. Chen, D. Cheng, S. Celikovsky, IJBC 12, 2917 (2002)
  • [50] Y. Li, W.K.S. Tang, G. Chen, Circuit design and implementationof a unified chaotic system, In International Conference on Communications,Circuits and Systems Proceedings 4 (IEEE, Piscataway,NJ, USA, 2006) 2569
  • [51] W. Yu, Phys. Lett. A 374, 1488 (2010)
  • [52] C. Tao, C. Yang, Y. Luo, H. Xiong, F. Hu, Chaos Soliton. Fract. 23,259 (2005)[Crossref]
  • [53] N.-S. Pai, H.-T. Yau, Discrete Dyn. Nat. Soc. 2010, 948590 (2010)
  • [54] S. Chen, Q. Yang, C. Wang, Chaos Soliton. Fract. 20, 751 (2004)[Crossref]
  • [55] W. Wei, L. Dong-Hai, W. Jing, Chinese Phys. B 20, 040510 (2011)[Crossref]
  • [56] T. Sangpet, S. Kuntanapreeda, IJBC 20, 1519 (2010)
  • [57] X. Chen, C. Liu, Nonlinear Anal. Real World Appl. 11, 683 (2010)[Crossref]
  • [58] G. Ablay, Nonlinear Anal. Hybrid Syst. 3, 531 (2009)[Crossref]
  • [59] S.-J. Cho, M. Jin, T.-Y. Kuc, J.S. Lee, Nonlinear Dyn. 75, 549 (2014)
Typ dokumentu
Bibliografia
Identyfikatory
Identyfikator YADDA
bwmeta1.element.-psjd-doi-10_1515_phys-2015-0015
JavaScript jest wyłączony w Twojej przeglądarce internetowej. Włącz go, a następnie odśwież stronę, aby móc w pełni z niej korzystać.