Title :
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
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;
Conference_Titel :
Machine Learning and Cybernetics, 2009 International Conference on
Print_ISBN :
978-1-4244-3702-3
Electronic_ISBN :
978-1-4244-3703-0
DOI :
10.1109/ICMLC.2009.5212212
