Nonlinear Constrained Optimal Control Problems and Cardinal Hermite Interpolant Multiscaling Functions

Ashpazzadeh E., Lakestanı M., Razzaghi M.

Asian Journal of Control, cilt.20, sa.1, ss.558-567, 2018 (SCI-Expanded) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 20 Sayı: 1
  • Basım Tarihi: 2018
  • Doi Numarası: 10.1002/asjc.1526
  • Dergi Adı: Asian Journal of Control
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.558-567
  • Anahtar Kelimeler: cardinal Hermite interpolant multiscaling functions, Chebyshev-Radau points, inequality constraints, Nonlinear optimal control, quadratic
  • Van Yüzüncü Yıl Üniversitesi Adresli: Evet

Özet

In this paper, a numerical method for solving nonlinear quadratic optimal control problems with inequality constraints is presented. The method is based upon cardinal Hermite interpolant multiscaling function approximation. The properties of these multiscaling functions are presented first. These properties are then utilized to reduce the solution of the nonlinear constrained optimal control to a nonlinear programming one, to which existing algorithms may be applied. Illustrative examples are included to demonstrate the efficiency and applicability of the technique.