A robust technique for solving optimal control of coupled Burgers' equations


SADEK I., Kucuk I.

IMA JOURNAL OF MATHEMATICAL CONTROL AND INFORMATION, cilt.28, ss.239-250, 2011 (SCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 28 Konu: 3
  • Basım Tarihi: 2011
  • Doi Numarası: 10.1093/imamci/dnr004
  • Dergi Adı: IMA JOURNAL OF MATHEMATICAL CONTROL AND INFORMATION
  • Sayfa Sayıları: ss.239-250

Özet

A methodology is described for solving optimal pointwise control of a coupled system of Burgers' equations. It is aimed to determine the optimal pointwise control that minimizes a given performance measure. The performance measure is specified as a quadratic functional of the distance between a final state function and a predefined target function along with the energy due to the control effort. The modal expansion method is used to reduce the optimal control of distributed parameter systems into the control of the invariant lumped parameter systems. A system of non-linear algebraic equations are derived as necessary conditions of optimality and solved by Runge-Kutta method to obtain the optimal Fourier coefficients and frequencies. The feasibility of the proposed methodology is demonstrated by numerical simulations.