Numerical Solution of a Class of Nonlinear Optimal Control Problems Using Linearization and Discretization

Mohammad Hadi Noori Skandari, Emran Tohidi

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DOI: 10.4236/am.2011.25085                

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.

Keywords

Linear and Nonlinear Optimal Control, Linear Combination Property of Intervals, Linear Programming, Discretization, Dynamical Control Systems

Conflicts of Interest

The authors declare no conflicts of interest.

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