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A new numerical approach for solving semi-infinite optimal control programming problem

M. Mahmoudi, A. V. Kamyad, S. Effati


In this paper we consider a class of semi-infinite optimal control programming problem that is governed by equality and inequality continuous linear or nonlinear state constraints. Using measure theory, the original problem is substituted by an infinite dimensional linear programming problem. In the next step, the infinite dimensional linear programming problem is approximated by a finite linear programming problem, such that, can be solved efficiently using simplex method. Finally two numerical examples are given.


Optimal control, Semi-infinite optimization, Measure theory, Nonlinear continuous constant.

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