Aposteriori polynomial fitting method for the general optimal control problem

Eksin İ., İstefanopulos Y., Eyler M.

1990 IEEE International Workshop on Intelligent Motion Control, IMC 1990, İstanbul, Türkiye, 20 - 22 Ağustos 1990, cilt.2, ss.761-764, (Tam Metin Bildiri) identifier

  • Yayın Türü: Bildiri / Tam Metin Bildiri
  • Cilt numarası: 2
  • Doi Numarası: 10.1109/imc.1990.687417
  • Basıldığı Şehir: İstanbul
  • Basıldığı Ülke: Türkiye
  • Sayfa Sayıları: ss.761-764
  • Anahtar Kelimeler: Nonlinear control systems, Numerical analysis, Optimization, Performance index sensitivity, Suboptimal control
  • Ankara Üniversitesi Adresli: Hayır

Özet

© 1991 IEEE.When the general optimal control problem is considered for arbitrary initial conditions, one finally arrives to the well-known Hamilton-Jaeobi-Bellman (HJB) equation, which is quite difficult to solve. In fact, it is rarely feasible to solve HJB equation for a nonlienar system of any practical siginificance; and hence, the development of exact explicit optimal feedback control schemes is usually unattainable for nonlienar systems. Here, a new method is presented which relies on the performance index sensitivity with respect to the changes in the controller parameter vector. This method gives rise to a sub-optimal control strategy even for nonlienar system dynamics and nonquadratic performance index.