IEEJ Transactions on Electronics, Information and Systems
Online ISSN : 1348-8155
Print ISSN : 0385-4221
ISSN-L : 0385-4221
A Gradient Method for Some Optimal Control Problems with Unknown Parameters
Hirro YamauraDawei CaiTakato ZusiYasunari Shidama
Author information
JOURNALS FREE ACCESS

1996 Volume 116 Issue 7 Pages 849-857

Details
Abstract

This paper describes a new gradient method for some nonlinear optimal problems with unknown parameters and final time. The algorithm is developed by applying the viewpoint of gradient method. By introducing a false time variable and a new function vector that is defined from the derivative of constraint function with respect to false time variable, a set of differential equations about the partial derivative variables of this function can be derived. Based on the above partial derivatives, a modification rule of control output, a false time parameter and unknown parameters in system is presented. If the condition of the modification rule is satisfied, the value of cost funciton will monotonyly reach a minimum. According to the modification rule, a numerical calculation algorithm is developed. To verify the performance of the algorithm, two simulation examples are provided. By comparing the simulation result with the theoretical resolution, it is cleard that proposed algorithm can provide a correct and useful means for nonlinear optimal control problems.

Information related to the author
© The Institute of Electrical Engineers of Japan
Previous article Next article
feedback
Top