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

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