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, Turkey, 20 - 22 August 1990, vol.2, pp.761-764, (Full Text) identifier

  • Publication Type: Conference Paper / Full Text
  • Volume: 2
  • Doi Number: 10.1109/imc.1990.687417
  • City: İstanbul
  • Country: Turkey
  • Page Numbers: pp.761-764
  • Keywords: Nonlinear control systems, Numerical analysis, Optimization, Performance index sensitivity, Suboptimal control
  • Ankara University Affiliated: No

Abstract

© 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.