Biorthogonal multiwavelets on the interval for solving multidimensional fractional optimal control problems with inequality constraint


Ashpazzadeh E., Lakestani M., YILDIRIM A.

OPTIMAL CONTROL APPLICATIONS & METHODS, cilt.41, ss.1477-1494, 2020 (SCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 41 Konu: 5
  • Basım Tarihi: 2020
  • Doi Numarası: 10.1002/oca.2615
  • Dergi Adı: OPTIMAL CONTROL APPLICATIONS & METHODS
  • Sayfa Sayıları: ss.1477-1494

Özet

This article proposes a new numerical approach for solving fractional optimal control problems including state and control inequality constraints using new biorthogonal multiwavelets. The properties of biorthogonal multiwavelets are first given. The Riemann-Liouville fractional integral operator for biorthogonal multiwavelets is utilized to reduce the solution of optimal control problems to a nonlinear programming one, to which existing, well-developed algorithms may be applied. In order to save the memory requirement and computation time, a threshold procedure is applied to obtain algebraic equations. The method is computationally very attractive and gives very accurate results.