Solving a Class of Nonlinear Optimal Control Problems by Differential Transformation Method

Volume 5, Issue 3, pp 146 - 152 http://dx.doi.org/10.22436/jmcs.05.03.01

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Authors

A. Fakharzadeh - Department of Mathematics, Shiraz University of Technology. S. Hashemi - Department of Mathematics, Shiraz University of Technology.

Abstract

Based on the Differential Transformation Method (DTM), a solution procedure for solving a class of nonlinear quadratic optimal control problems is presented in this paper. The reason for selecting this solution procedure is the less computational cost in comparison with the ordinary solution methods of original problem. First, the problem is converted to a two-point boundary value problem then the new problem is transferred into a set of algebraic equations by applying the differential transformation properties. By presenting the algorithmic solution procedure, two numerical examples are given to demonstrate the simplicity and efficiency of the new method.

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Keywords

• Quadratic optimal control problems
• Pontryagin’s maximum principle
• Differential transformation method
• recursive relations

MSC

•  49N90
•  93C95

References

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