[ Log In | Register]
! Skip Navigation Links
Skip Navigation Links
Image of Journal of Applied Nonlinear Dynamics
ISSN:2164-6457 (print)
ISSN:2164-6473 (online)
Journal of Applied Nonlinear Dynamics
Miguel A. F. Sanjuan (editor), Albert C.J. Luo (editor)
Miguel A. F. Sanjuan (editor)

Department of Physics, Universidad Rey Juan Carlos, 28933 Mostoles, Madrid, Spain

Email: miguel.sanjuan@urjc.es

Albert C.J. Luo (editor)

Department of Mechanical and Industrial Engineering, Southern Illinois University Ed-wardsville, IL 62026-1805, USA

Fax: +1 618 650 2555 Email: aluo@siue.edu

New PID Controller Design for Multi-Switching Hyperchaotic Synchronization with Real-World Application

Journal of Applied Nonlinear Dynamics 9(4) (2020) 619--642 | DOI:10.5890/JAND.2020.12.007

Sonia Hammami

University of Tunis El Manar, Engineering Sciences and Techniques Department, El Manar Preparatory Institute for Engineering Studies, BP 244, Tunis 2092, Tunisia

Download Full Text PDF

 

Abstract

This paper is devoted to design discrete PID controller for hyperchaos multi-switching synchronization. The dominant pole placement problem with such discrete PID controllers in z-domain is studied since it is important to take advantage of discrete domain representation, especially, during the pole placement procedure. Moreover, it is shown that modified Nyquist plot method is still valid in discrete domain and it is possible to find relevant discrete PID controller parameters. Then, the feasibility as well as the performance of the proposed approach of multi-switching combination synchronization, based on PID controller, is checked through its practical application in information transmission field to ensure more security of the message signal by means of hyperchaotic masking. Finally, experimental simulations are carried out in order to assess the security analysis and demonstrate that the suggested cryptosystem is large enough to resist to the noise attack thanks to its excellent encryption robustness.

References

  1. [1]  Pecora, L.M. and Carroll, T.L. (1990), Synchronization in chaotic systems, Physical Review Letters, 64, 821-824.
  2. [2]  Dedieu, H., Kennedy, M.P., and Hasler, M. (1993), Chaos shift keying: modulation and demodulation of a chaotic carrier using self synchronizing chua's circuit, IEEE Transactions on Circuits and Systems II: Analog Digital Signal Process, 40, 634-642.
  3. [3]  Liu, W., Wang, Z., and Ni, M., (2013), Controlled synchronization for chaotic systems via limited information with data packet dropout, Automatica, 49, 2576-2579.
  4. [4]  Hammami, S., Djema\"{\i}, M., and Busawon, K. (2014), Using discrete-time hyperchaotic-based asymmetric encryption and decryption keys for secure signal transmission, In the $9^{\rm th}$ IEEE/IET International Symposium on Communication Systems, Networks $&$ Digital Signal Processing, Manchester Metropolitan University, UK, 1054-1059.
  5. [5]  Hammami, S., Djema\"{\i}, M., and Busawon, K. (2015), On the use of the unified chaotic system in the field of secure communication, In the IEEE 3$^{rd}$ International Conference on Control, Engineering $&$ Information Technology, Tlemcen, Algeria, 1-6.
  6. [6]  Hammami, S. (2015), State feedback-based secure image cryptosystem using hyperchaotic synchronization, ISA Transactions, 54, 52-59.
  7. [7]  Cruz Hern{a}ndez, C., Inzunza Gonz{a}lez, E., L{o}pez Guti{e}rrez, R.M., Serrano Guerrero, H., and Garc{\i}a Guerrero, E.E. (2010), Encrypted audio communication based on synchronized unified chaotic systems, World Academy of Science, Engineering and Technology, 4, 383-385.
  8. [8]  Cruz Hernandez, C. and Nijmeijer, H. (2000), Synchronization through filtering, International Journal of Bifurcation and Chaos, 10, 763-775
  9. [9]  Sira Ramirez, H. and Cruz Hernandez, C. (2001), Synchronization of chaotic systems: a generalized Hamiltonian systems approach International Journal of Bifurcation and Chaos, 11, 1381-1395
  10. [10]  Zheng, S. (2016), Multi-switching combination synchronization of three different chaotic systems via nonlinear control, Optik - International Journal for Light and Electron Optics, 127, 10247-10258
  11. [11]  Sun, J. and Shen, Y. (2016), Compound-combination anti-synchronization of five simplest memristor chaotic systems, Optik - International Journal for Light and Electron Optics, 127, 9192-9200.
  12. [12]  Grassi, G. and Miller, D.A. (2002), Theory and experimental realization of observer-based discrete-time hyperchaos synchronization IEEE Transactions on Circuits and Systems I: Fundamental Theory and Applications, 49, 373-378.
  13. [13]  Millerioux, G. and Daafouz, J. (2003), An observer-based approach for input-independent global chaos synchronization of discrete-time switched systems IEEE Transactions on Circuits and Systems I: Fundamental Theory and Applications, 50, 1270-1279.
  14. [14]  Vincent, U.E., Saseyi, A.O., and Mc Clintock, P.V.E., (2015), Multi-switching combination synchronization of chaotic systems, Nonlinear Dynamics, 80, 845-854.
  15. [15]  Li, X.F., Chu, Y.D., Leung, A.Y., and Zhang, H. (2017), Synchronization of uncertain chaotic systems via complete-adaptive-impulsive controls, Chaos, Solitons and Fractals, 100, 24-30.
  16. [16]  Jin, M., Lee, J., and Tsagarakis, N.G., (2017), Model-free robust adaptive control of humanoid robots with flexible joints, IEEE Transactions on Industrial Electronics, 64, 1706-1715.
  17. [17]  Wang, C.C. and Su, J.P. (2004), A new adaptive variable structure control for chaotic synchronization and secure communication, Chaos, Solitons and Fractals, 20, 967-977.
  18. [18]  Jiang, G.P., Tang, W.K.S., and Chen, G. (2003), A simple global synchronization criterion for coupled chaotic systems Chaos, Solitons and Fractals, 15, 925-935
  19. [19]  Yang, X.S. (1999), Concepts of synchronization in dynamical systems, Physics Letters A, 260, 340-344.
  20. [20]  Hammami, S., Ben Saad, K., and Benrejeb, M. (2009), On the synchronization of identical and non-identical 4-D chaotic systems using arrow form matrix, Chaos, Solitons and Fractals, 42, 101-112.
  21. [21]  Grassi, G. and Miller, D.A. (2012), Dead-beat full state hybrid projective synchronization for chaotic maps using a scalar synchronizing signal Communications in Nonlinear Science and Numerical Simulation, 17, 1824-1830.
  22. [22]  Dincel, E. and S\"{o}ylemez, M.T., (2014), Guaranteed dominant pole placement with discrete-PID controllers: a modified plot approach, In the $19^{\rm th}$ World Congress, IFAC, Cape Town, South Africa, 3122-3127.
  23. [23]  Zamani, A.A., Tavakoli, S., and Etedali, S. (2017), Fractional order PID control design for semi-active control of smart base-isolated structures: A multi-objective cuckoo search approach, ISA Transactions, 67, 222-232.
  24. [24]  Chang, W.D. and Yan, J.J. (2005), Adaptive robust PID controller design based on a sliding mode for uncertain chaotic systems, Chaos, Solitons and Fractals, 26, 167-175.
  25. [25]  Sahib, M.A. (2015), A novel optimal PID plus second order derivative controller for AVR system, Engineering Science and Technology, an International Journal, 18, 194-206.
  26. [26]  Li, Y., Ang, K.H., and Chong, G.C. (2006), PID control system analysis and design, IEEE Control Systems, 26, 32-41.
  27. [27]  Moradi, M. and Khorashadizadeh, S. (2018), Chaos synchronization using higher-order adaptive PID controller, International Journal of Electronics and Communications, 94, 157-167.
  28. [28]  Hammami, S. (2019), Multi-switching combination synchronization of discrete-time hyperchaotic systems for encrypted audio communication, IMA Journal of Mathematical Control and Information, 36, 583-602.
  29. [29]  Hammami, S., Benrejeb, M., Feki, M., and Borne, P. (2010), Feedback control design for R\"{o}ssler and Chen chaotic systems anti-synchronization, Physics Letters A, 374, 2835-2840.
  30. [30]  Petit, N. and Rouchon, P. (2009), Automatique : dynamique et contr\^{o}le des syst\`{e}mes, Engineering school, MINES Paris Tech
  31. [31]  Rao, R.V., Savsani, V.J., and Vakharia, D. (2011), Teaching-learning-based optimization: a novel method for constrained mechanical design optimization problems, Computer-Aided Design, 43, 303-315.
  32. [32]  Rao, R.V., Savsani, V.J., and Vakharia, D., (2012), Teaching-learning-based optimization: an optimization method for continuous nonlinear large scale problems, Information Sciences, 183, 1-15.
  33. [33]  Ghasemi, M., Ghavidel, S., Gitizadeh, M., and Akbari, E. (2015), An improved teaching-learning-based optimization algorithm using L{e}vy mutation strategy for non-smooth optimal power flow, International Journal of Electrical Power $&$ Energy Systems, 65, 375-384.
  34. [34]  Bouchekara, H., Abido, M., and Boucherma, M. (2014), Optimal power flow using teaching-learning based optimization technique, Electric Power Systems Research, 114, 49-59.
  35. [35]  Khalghani, M.R. and Khooban, M.H. (2014), A novel self-tuning control method based on regulated bi-objective emotional learning controller's structure with TLBO algorithm to control DVR compensator, Applied Soft Computing, 24, 912-922.
  36. [36]  Takami, M.A., Sheikh, R., and Sana, S.S. (2016), Product portfolio optimization using teaching-learning-based optimization algorithm: a new approach in supply chain management, International Journal of Systems Science: Operations $&$ Logistics, 3, 236-246.

Copyright © 2011-2023 L & H Scientific Publishing. All rights reserved. Wildcard SSL Certificates