Advertisement

Memristor-Based Phase-Lead Controller Circuit Design

  • Tsung-Chih Lin
  • Wei-Nan Liao
  • Valentina Emilia Balas
Part of the Advances in Intelligent Systems and Computing book series (AISC, volume 195)

Abstract

Memristor predicted and described by L. O. Chua is a new electrical element. Memristor with variable resistance which changes automatically as its voltage changing can be used as a tunable parameter in control systems. Phase-lead controller is widely used in industrial process control applications. The conventional method for adjusting phase-lead controller parameters is based on the “trial and error” procedure which leads to an inconvenient and approximated design. In the meantime, once the parameters are adjusted, they are fixed during the control system operation. In this paper, memristor-based phase-lead (M-phase-lead) controller is presented. Based on memristor constitutive relations of the memristance and memductance, the proposed M-phase-lead controller is more flexible during the design process. The theoretical description of design scheme is presented and simulation example is given to show the effectiveness of the advocated design methodology.

Keywords

Frequency-domain Memristor phase-lead 

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. 1.
    Chua, L.O.: Memristor—The missing circuit element. IEEE Trans. Circuit Theory CT-18(5), 507–519 (1971)Google Scholar
  2. 2.
    Chua, L.O., Sung, M.K.: Memristive devices and systems. Proc. IEEE 64(2), 209–223 (1976)MathSciNetCrossRefGoogle Scholar
  3. 3.
    Itoh, M.: Memristor oscillators. International Journal of Bifurcation and Chaos 18(11), 3183–3206 (2008)MathSciNetMATHCrossRefGoogle Scholar
  4. 4.
    Strukov, D.B., Snider, G.S., Stewart, D.R., Williams, R.S.: The missing memristor found. Nature 453(7191), 80–83 (2008)CrossRefGoogle Scholar
  5. 5.
    Itoh, M., Chua, L.O.: Memristor oscillation. Int. J. Bifurcat. Chaos Appl. Sci. Eng. 18(11), 3183–3206 (2008)MathSciNetMATHCrossRefGoogle Scholar
  6. 6.
    Riaza, R.: Nondegeneracy conditions for active memristive circuits. IEEE Trans. Circuits Syst. II, Exp. Briefs 57(3), 223–227 (2010)CrossRefGoogle Scholar
  7. 7.
    Oster, G.F., Auslander, D.M.: The memristor: A new bond graph element. Trans. ASME on Dynamical Systems and Control 94, 249–252 (1973)CrossRefGoogle Scholar
  8. 8.
    Oster, G.F.: A note on memristors. IEEE Transactions on Circuits and Systems 21(1), 152–152 (1974)CrossRefGoogle Scholar
  9. 9.
    Tour, J.M., He, T.: The fourth element. Nature 453, 42–43 (2008)CrossRefGoogle Scholar
  10. 10.
    Sturkov, D.B., Snider, G.S., Stewart, D.R., Williams, S.R.: Switching Dynamics in titanium dioxide memristive devices. Journal of Applied Physics 106, 74508–74513 (2009)CrossRefGoogle Scholar
  11. 11.
    Joglekar, Y.N., Wolf, S.J.: The elusive memristor: properties of basic electrical circuits. European Journal of Physics 30(4), 661–675 (2009)MATHCrossRefGoogle Scholar
  12. 12.
    Radwan, A.G., Zidan, M.A., Salma, K.N.: HP Memristor mathematical model for periodic signals and DC. In: IEEE Int. Midwest Symp. on Circuits and Systems, pp. 861–864 (2010)Google Scholar
  13. 13.
    Mahvash, M., Parker, A.C.: A memristor SPICE modelfor designing memristor circuits. In: IEEE Int. Midwest Symp. on Circuits and Systems, pp. 989–992 (2010)Google Scholar
  14. 14.
    Delgado, A.: The memristor as controller. In: IEEE Nanotechnology Materials and Devices Conference, pp. 376–379 (2010)Google Scholar
  15. 15.
    Wang, X., Zhao, Y., Liao, Y.: Dynamic Performance Analysis of PID Controller with one Memristor. In: International Conference on Information Science and Technology, pp. 1234–1237 (2011)Google Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 2013

Authors and Affiliations

  • Tsung-Chih Lin
    • 1
  • Wei-Nan Liao
    • 1
  • Valentina Emilia Balas
    • 2
  1. 1.Department of Electronic EngineeringFeng-Chia UniversityTaichungTaiwan
  2. 2.Department of Automation and Applied InformaticsAurel Vlaicu University of AradAradRomania

Personalised recommendations