USING SEMIDEFINITE OPTIMIZATION FOR SOLVING CONTROL SYSTEMS OF ISOTHERMAL CONTINUOUS STIRRED TANK REACTORS OPTIMAL CONTROL PROBLEM

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DEHGHAN R.; KIYANPOUR M.

مرکز اطلاعات علمی Scientific Information Database (SID) - Trusted Source for Research and Academic Resources

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Journal: Journal of Operational Research in its Applications Year:2017 | Volume:14 | Issue:1 (52) Page(s): 1-13

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Title

USING SEMIDEFINITE OPTIMIZATION FOR SOLVING CONTROL SYSTEMS OF ISOTHERMAL CONTINUOUS STIRRED TANK REACTORS OPTIMAL CONTROL PROBLEM

Author(s)

DEHGHAN R. | KIYANPOUR M. | Issue Writer Certificate

Keywords

MOMENTSQ1

SEMIDEFINITE OPTIMIZATIONQ1

FRACTIONAL DERIVATIVEQ2

OPTIMAL CONTROLQ2

Abstract

In this paper, an optimization method is used for solving a fractional OPTIMAL CONTROL problem with significant applications in chemical engineering. Considered OPTIMAL CONTROL is the control system of the isothermal continuous stirred tank reactors. The Riemann-Liouville FRACTIONAL DERIVATIVE is used to describe the mathematical model of control system. For solving the fractional OPTIMAL CONTROL problem, at first by using different order of MOMENTS we achieve an OPTIMAL CONTROL problem in space of MOMENTS and then by using discretization technique of variables we will get a SEMIDEFINITE OPTIMIZATION problem. Finally, by solving the equivalent optimization problem we obtain the solution of the considered fractional OPTIMAL CONTROL problem.

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APA: Copy

DEHGHAN, R., & KIYANPOUR, M.. (2017). USING SEMIDEFINITE OPTIMIZATION FOR SOLVING CONTROL SYSTEMS OF ISOTHERMAL CONTINUOUS STIRRED TANK REACTORS OPTIMAL CONTROL PROBLEM. JOURNAL OF OPERATIONAL RESEARCH AND ITS APPLICATIONS (JOURNAL OF APPLIED MATHEMATICS), 14(1 (52)), 1-13. SID. https://sid.ir/paper/164431/en

Vancouver: Copy

DEHGHAN R., KIYANPOUR M.. USING SEMIDEFINITE OPTIMIZATION FOR SOLVING CONTROL SYSTEMS OF ISOTHERMAL CONTINUOUS STIRRED TANK REACTORS OPTIMAL CONTROL PROBLEM. JOURNAL OF OPERATIONAL RESEARCH AND ITS APPLICATIONS (JOURNAL OF APPLIED MATHEMATICS)[Internet]. 2017;14(1 (52)):1-13. Available from: https://sid.ir/paper/164431/en

IEEE: Copy

R. DEHGHAN, and M. KIYANPOUR, “USING SEMIDEFINITE OPTIMIZATION FOR SOLVING CONTROL SYSTEMS OF ISOTHERMAL CONTINUOUS STIRRED TANK REACTORS OPTIMAL CONTROL PROBLEM,” JOURNAL OF OPERATIONAL RESEARCH AND ITS APPLICATIONS (JOURNAL OF APPLIED MATHEMATICS), vol. 14, no. 1 (52), pp. 1–13, 2017, [Online]. Available: https://sid.ir/paper/164431/en

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