Accession Number:

AD0725367

Title:

On the Application of an Approximation Technique to the Problem of Optimal Stabilization of Nonlinear Systems.

Descriptive Note:

Research note,

Corporate Author:

GRUMMAN AIRCRAFT ENGINEERING CORP BETHPAGE N Y RESEARCH DEPT

Personal Author(s):

Report Date:

1963-08-01

Pagination or Media Count:

19.0

Abstract:

The paper presents an approximation technique which can be used in the analytic construction of a control law for an arbitrary nonlinear control system. The problem considered here is the construction of a control law which will stabilize the system such that a given integral criterion achieves a minimum value along the trajectory. Liapunovs stability theory is used in the problem formulation, and the solution is achieved by utilizing either Galerkins method or the method of characteristics, or a combination of the two. Author

Subject Categories:

  • Theoretical Mathematics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE