A technique for the calculation of optimal control laws for second order nonlinear differential systems with boundary values

Author

Cheng, Dan S. ; Stubberud, Allen R.

Author_Institution

Dept. of Electr. & Comput. Eng., California Univ., Irvine, CA, USA

fYear

1993

fDate

15-17 Dec 1993

Firstpage

3791

Abstract

The problem of obtaining an optimal control law for a class of nonlinear second order differential control systems with boundary values and a nonlinear cost functional is considered. A combined technique using the calculus of variations and a finite element method for solving the problem is discussed. This technique generates a unique global optimal solution for certain classes of systems and cost functionals. A numerical method for obtaining the solution is investigated. The techniques developed are demonstrated through several examples

Keywords

boundary-value problems; control system synthesis; finite element analysis; functional equations; multidimensional systems; nonlinear control systems; nonlinear differential equations; optimal control; variational techniques; boundary values; calculus of variations; finite element method; nonlinear cost functional; nonlinear second order differential control systems; numerical method; optimal control laws; unique global optimal solution; Algorithm design and analysis; Calculus; Control systems; Convergence of numerical methods; Cost function; Feedback control; Laplace equations; Nonlinear control systems; Optimal control;

fLanguage

English

Publisher

ieee

Conference_Titel

Decision and Control, 1993., Proceedings of the 32nd IEEE Conference on

Conference_Location

San Antonio, TX

Print_ISBN

0-7803-1298-8

Type

conf

DOI

10.1109/CDC.1993.325927

Filename

325927