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Reseach Article

Theory of Memristive Controllers: Design and Stability Analysis for Linear Plants

by Gourav Saha
International Journal of Computer Applications
Foundation of Computer Science (FCS), NY, USA
Volume 34 - Number 10
Year of Publication: 2011
Authors: Gourav Saha
10.5120/4138-5986

Gourav Saha . Theory of Memristive Controllers: Design and Stability Analysis for Linear Plants. International Journal of Computer Applications. 34, 10 ( November 2011), 48-55. DOI=10.5120/4138-5986

@article{ 10.5120/4138-5986,
author = { Gourav Saha },
title = { Theory of Memristive Controllers: Design and Stability Analysis for Linear Plants },
journal = { International Journal of Computer Applications },
issue_date = { November 2011 },
volume = { 34 },
number = { 10 },
month = { November },
year = { 2011 },
issn = { 0975-8887 },
pages = { 48-55 },
numpages = {9},
url = { https://ijcaonline.org/archives/volume34/number10/4139-5986/ },
doi = { 10.5120/4138-5986 },
publisher = {Foundation of Computer Science (FCS), NY, USA},
address = {New York, USA}
}
%0 Journal Article
%1 2024-02-06T20:20:44.196409+05:30
%A Gourav Saha
%T Theory of Memristive Controllers: Design and Stability Analysis for Linear Plants
%J International Journal of Computer Applications
%@ 0975-8887
%V 34
%N 10
%P 48-55
%D 2011
%I Foundation of Computer Science (FCS), NY, USA
Abstract

Memristive System is a class on non-linear systems with very interesting properties. It is considered to be the fourth basic circuit element like Resistors, Capacitors and Inductors. Till date most of the works on memristive systems concentrated on its applications in the field of designing super dense non volatile memory, crossbar latches, neural networks, modeling of neural synapses, nonlinear oscillators and filters. Much less work has been done in its use in the field of control theory. This paper presents groundwork in the field of using Memristive Systems for control purposes.

References
  1. L. Chua, “Memristor – The Missing Circuit Element”, IEEE Trans. on Circuit Theory, Vol. 18, No. 5, pp. 507 - 519, September 1971.
  2. D.B. Sturkov, G.S. Snider, D.R. Stewart and S.R. Williams, “The missing memristor found”, Nature, Vol. 453, No. 7191, pp. 80-83, 2008.
  3. D.B. Sturkov, G.S. Snider, D.R. Stewart and S.R. Williams, “Switching Dynamics in titanium dioxide memristive devices”, Journal of Applied Physics, Vol. 106, pp. 74508-74513, October 2009.
  4. Y.N. Joglekar and S.J. Wolf, “The elusive memristor: properties of basic electrical circuits”, European Journal of Physics, Vol. 30, No. 4, pp. 661-675, May 2009
  5. Makoto Itoh and L. Chua, “Memristor Oscillators”, Int. Journal on Bifurcation and Chaos, Vol. 18, No. 11, pp. 3183-3206, September 2008
  6. A.G. Radwan, M.A. Zidan, K.N. Salma, “HP Memristor mathematical model for periodic signals and DC”, IEEE Int. Midwest Symp. on Circuits and Systems 2010, pp. 861-864, August 2010.
  7. M. Mahvash and A.C. Parker, “A memristor SPICE modelfor designing memristor circuits”, IEEE Int. Midwest Symp. on Circuits and Systems 2010, pp. 989-992, August 2010.
  8. A. Delgado, “The memristor as controller”, IEEE Nanotechnology Materials and Devices Conference 2010, pp. 376-379, October 2010.
  9. Jin Hu and Jun Wang, “Global Uniform Asymptotic Stability of Memristor-based Recurrent Neural Networks with Time Delays”,Int. Joint Conference on Neural Networks 2010, pp. 1-8, July 2010.
  10. S. Arimoto, “Control Theory of Non-Linear Mechanical Systems: A Passivity-Based and Circuit-Theoretic Approach”, Oxford, UK: Clarendron Press, 1996.
  11. R. Kelly, “Global positioning of robot manipulators via PD control plus a class of nonlinear integral actions”, IEEE Trans. Automatic Control, Vol. 43, No. 4, pp. 934-937, July 1998.
  12. H. Seraji, “A new class of nonlinear PID controllers with robotic applications”, J. Robot. Syst., Vol. 15, No. 3, pp. 161-173, 1998.
  13. D. Sun, S. Hu, X. Shao and C. Liu, “Global Stability of a Saturated Nonlinear PID Controller for Robot Manipulators”, IEEE Trans. Control Systems, Vol. 17, No. 4, pp. 892-899, July 2009.
  14. Y. Su, P.C. Muller and C. Zheng, “Global Asymptotic Saturated PID Control for Robot Manipulators”, IEEE Trans. Control Systems, Vol. 18, No. 6, pp. 1280-1288, November 2010.
  15. B. Armstrong , D. Neevel and T. Kusik, “New results in NPID control: Tracking, integral control, friction compensation and experimental results”, IEEE Trans. Control Systems, Vol. 9, No. 2, pp. 399-406, 2001.
  16. H.K. Khalil, “Non-Linear Systems”, Prentice Hall, 2002.
Index Terms

Computer Science
Information Sciences

Keywords

Memsristor Non Linear Control Describing Function Local Stability Region of Attraction