Optimal Control of Switched Systems by a Modified Pseudo Spectral Method

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TABRIZI DOOZ HAMID REZA; POURBABAEE MARZIEH; HEDAYATI MEHRNOOSH

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Journal: Iranian Journal of Mathematical Chemistry Year:2017 | Volume:8 | Issue:2 Page(s): 161-173

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Information Journal Paper

Title

Optimal Control of Switched Systems by a Modified Pseudo Spectral Method

Author(s)

TABRIZI DOOZ HAMID REZA | POURBABAEE MARZIEH | HEDAYATI MEHRNOOSH | Issue Writer Certificate

Keywords

Optimal controlQ2

Switched systemsQ1

Legendre pseudo spectral methodQ1

Abstract

In the present paper, we develop a modified pseudo spectral scheme for solving an Optimal control problem which is governed by a switched dynamical system. Many real– world processes such as chemical processes, automotive systems and manufacturing processes can be modeled as such systems. For this purpose, we replace the problem with an alternative Optimal control problem in which the switching times appear as unknown parameters. Using the Legendre– Gauss– Lobatto quadrature and the corresponding differentiation matrix, the alternative problem is discretized to a nonlinear programming problem. At last, we examine three examples in order to illustrate the efficiency of the proposed method.

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APA: Copy

TABRIZI DOOZ, HAMID REZA, POURBABAEE, MARZIEH, & HEDAYATI, MEHRNOOSH. (2017). Optimal Control of Switched Systems by a Modified Pseudo Spectral Method. IRANIAN JOURNAL OF MATHEMATICAL CHEMISTRY, 8(2 ), 161-173. SID. https://sid.ir/paper/205551/en

Vancouver: Copy

TABRIZI DOOZ HAMID REZA, POURBABAEE MARZIEH, HEDAYATI MEHRNOOSH. Optimal Control of Switched Systems by a Modified Pseudo Spectral Method. IRANIAN JOURNAL OF MATHEMATICAL CHEMISTRY[Internet]. 2017;8(2 ):161-173. Available from: https://sid.ir/paper/205551/en

IEEE: Copy

HAMID REZA TABRIZI DOOZ, MARZIEH POURBABAEE, and MEHRNOOSH HEDAYATI, “Optimal Control of Switched Systems by a Modified Pseudo Spectral Method,” IRANIAN JOURNAL OF MATHEMATICAL CHEMISTRY, vol. 8, no. 2 , pp. 161–173, 2017, [Online]. Available: https://sid.ir/paper/205551/en

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