AM  Vol.2 No.5 , May 2011
Numerical Solution of a Class of Nonlinear Optimal Control Problems Using Linearization and Discretization
ABSTRACT
In this paper, a new approach using linear combination property of intervals and discretization is proposed to solve a class of nonlinear optimal control problems, containing a nonlinear system and linear functional, in three phases. In the first phase, using linear combination property of intervals, changes nonlinear system to an equivalent linear system, in the second phase, using discretization method, the attained problem is converted to a linear programming problem, and in the third phase, the latter problem will be solved by linear programming methods. In addition, efficiency of our approach is confirmed by some numerical examples.

Cite this paper
nullM. Skandari and E. Tohidi, "Numerical Solution of a Class of Nonlinear Optimal Control Problems Using Linearization and Discretization," Applied Mathematics, Vol. 2 No. 5, 2011, pp. 646-652. doi: 10.4236/am.2011.25085.
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