Applied Mathematics Stabilization of Vertically Modulated Pendulum with Parametric Periodic Forces

  • Babar Ahmad COMSATS Institute of Information Technology Islamabad
  • Sidra Khan

Abstract

With the application of Kapitza method of averaging for arbitrary periodic force, a vertically modulated pendulum, with periodic linear forces is stabilized by minimizing its potential energy function. These periodic linear forces are selected in range [-1, 1], further the corresponding stability conditions are compared with that in case of harmonic modulation. Later, a parametric control is defined on some periodic piecewise linear forces and the nontrivial position is stabilized under different conditions by just adjusting the parameter.

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Published
2018-12-31
How to Cite
AHMAD, Babar; KHAN, Sidra. Applied Mathematics Stabilization of Vertically Modulated Pendulum with Parametric Periodic Forces. Sukkur IBA Journal of Computing and Mathematical Sciences, [S.l.], v. 2, n. 2, p. 8-13, dec. 2018. ISSN 2522-3003. Available at: <http://journal.iba-suk.edu.pk:8089/SIBAJournals/index.php/sjcms/article/view/26>. Date accessed: 22 mar. 2019. doi: https://doi.org/10.30537/sjcms.v2i2.26.