M. H. Noori Skandari; H. R. Erfanian; A.V. Kamyad; M. H. Farahi

International Journal of Intelligent Systems and Applications (IJISA)

IJISA Vol. 5, No. 7, 8 Jun. 2013

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Solving a Class of Non-Smooth Optimal Control Problems

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Author(s)

M. H. Noori Skandari ^,* H. R. Erfanian A.V. Kamyad M. H. Farahi ¹

1. Faculty of Mathematical Sciences, Ferdowsi University of Mashhad, Mashhad, Iran

* Corresponding author.

DOI: https://doi.org/10.5815/ijisa.2013.07.03

Received: 16 Aug. 2012 / Revised: 4 Dec. 2012 / Accepted: 23 Feb. 2013 / Published: 8 Jun. 2013

Index Terms

Generalized Derivative, Non-Smooth Optimal Control, Non-Linear Programming

Abstract

In this paper, we first propose a new generalized derivative for non-smooth functions and then we utilize this generalized derivative to convert a class of non-smooth optimal control problem to the corresponding smooth form. In the next step, we apply the discretization method to approximate the obtained smooth problem to the nonlinear programming problem. Finally, by solving the last problem, we obtain an approximate optimal solution for main problem.

Cite This Paper

M. H. Noori Skandari, H. R. Erfanian, A.V. Kamyad, M. H. Farahi, "Solving a Class of Non-Smooth Optimal Control Problems", International Journal of Intelligent Systems and Applications(IJISA), vol.5, no.7, pp.16-22, 2013. DOI:10.5815/ijisa.2013.07.03

Reference

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[5]Noori Skandari M.H., Kamyad A.V., and Erfanian H.R., A New Practical Generalized Derivative for Non-smooth Functions, The Electronic Journal of Mathematics and Technology, 2013, in press.

[6]Erfanian H. R, Noori Skandari M.H., and Kamyad A.V., A New Approach for the Generalized First Derivative and Extension It to the Generalized Second Derivative of Nonsmooth Functions. I.J. Intelligent Systems and Applications, 2013, in press.

[7]Erfanian H. R, Noori Skandari M.H., and Kamyad A.V., A Numerical Approach for Non-smooth Ordinary Differential Equations. Journal of Vibration and Control , 2012, Forthcoming paper.

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