Archives of Control Sciences (Dec 2020)

On LQ optimization problem subject to fractional order irregular singular systems

  • Muhafzan,
  • Admi, Nazra,
  • Lyra, Yulianti,
  • Zulakmal,
  • Refi, Revina

DOI
https://doi.org/10.24425/acs.2020.135850
Journal volume & issue
Vol. vol. 30, no. No 4
pp. 745 – 756

Abstract

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In this paper we discuss the linear quadratic (LQ) optimization problem subject to fractional order irregular singular systems. The aim of this paper is to find the control-state pairs satisfying the dynamic constraint of the form a fractional order irregular singular systems such that the LQ objective functional is minimized. The method of solving is to convert such LQ optimization into the standard fractional LQ optimization problem. Under some particularly conditions we find the solution of the problem under consideration.

Keywords