The optimal control for a class of nonlinear transport-reaction processes

Author

Sun, Ji ; Ma, Bao-ping

Author_Institution

Electron. & Autom. Eng. Sch., Nanjing Normal Univ., Nanjing, China

Volume

4

fYear

2009

Firstpage

2010

Lastpage

2014

Abstract

In this paper, the optimal control problem is discussed for nonlinear transport-reaction processes with fixed boundary conditions. The optimal control problem is modified into one consisting of the minimization of a linear form over a set of positive measures satisfying linear constraints; the minimization in the new problem can be approximated by a finite dimensional linear programming problem. A numerical example is given to illustrate the procedure.

Keywords

approximation theory; linear programming; linear systems; minimisation; multidimensional systems; nonlinear control systems; optimal control; approximation method; finite dimensional linear programming problem; fixed boundary condition; linear constraint; minimization problem; nonlinear transport-reaction process; optimal control; Boundary conditions; Control system synthesis; Cybernetics; Linear programming; Machine learning; Moment methods; Nonlinear equations; Optimal control; Sun; Upper bound; Input/state constraints; Linear optimization; Measure theory; Nonlinear transport-reaction equations; Optimal control;

fLanguage

English

Publisher

ieee

Conference_Titel

Machine Learning and Cybernetics, 2009 International Conference on

Print_ISBN

978-1-4244-3702-3

Electronic_ISBN

978-1-4244-3703-0

Type

conf

DOI

10.1109/ICMLC.2009.5212212

Filename

5212212