A Computational Method for Solving Optimal Control Problems and Their Applications

نویسندگان
Kafash, Behzad ID 1
Karbassi, Seyyed Mehdi ID 2
Rafiei, Zahra ID 3

1 Assistant Professor, Faculty of Engineering, Ardakan University, Ardakan, Iran

2 Department of Mathematics, Yazd University, Yazd, Iran

3 Department of Mathematics, Yazd University, Yazd, Iran

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چکیده

In order to obtain a solution to an optimal control problem‎, ‎a numerical technique based on state-control parameterization method is presented‎. ‎This method can be facilitated by the computation of performance index and state equation via approximating the control and state variable as a function of time‎. ‎Several numerical examples are presented to confirm the analytical findings and illustrate the efficiency of the proposed method.

کلیدواژه‌ها
‎Optimal control‎, ‎State-control parameterization‎, ‎Basis polynomials