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The Sine-Cosine Wavelet and Its Application in the Optimal Control of Nonlinear Systems with Constraint | ||
| Journal of Electrical and Computer Engineering Innovations (JECEI) | ||
| مقاله 7، دوره 1، شماره 1، فروردین 2013، صفحه 51-55 اصل مقاله (337.11 K) | ||
| نوع مقاله: Original Research Paper | ||
| شناسه دیجیتال (DOI): 10.22061/jecei.2013.21 | ||
| نویسندگان | ||
| R. Hajmohammadi1؛ H. NasiriSoloklo* 2؛ M.M. Farsangi1 | ||
| 1Electrical Engineering Department, Shahid Bahonar University of Kerman, Kerman, Iran | ||
| 2Department of Electrical Engineering, Firoozkooh Branch, Islamic Azad University, Firoozkooh, Iran | ||
| تاریخ دریافت: 25 شهریور 1391، تاریخ بازنگری: 24 مرداد 1392، تاریخ پذیرش: 31 مرداد 1392 | ||
| چکیده | ||
| In this paper, an optimal control of quadratic performance index with nonlinear constrained is presented. The sine-cosine wavelet operational matrix of integration and product matrix are introduced and applied to reduce nonlinear differential equations to the nonlinear algebraic equations. Then, the Newton-Raphson method is used for solving these sets of algebraic equations. To present ability of the proposed method, two classes, first order system and second order system, are considered. The obtained results show that the proposed method offers improved performance. In this paper, an optimal control of quadratic performance index with nonlinear constrained is presented. The sine-cosine wavelet operational matrix of integration and product matrix are introduced and applied to reduce nonlinear differential equations to the nonlinear algebraic equations. Then, the Newton-Raphson method is used for solving these sets of algebraic equations. To present ability of the proposed method, two classes, first order system and second order system, are considered. The obtained results show that the proposed method offers improved performance | ||
| کلیدواژه‌ها | ||
| Sine-Cosine Wavelet؛ Optimal control؛ Non-linear Systems؛ Constrained problems؛ Newton-Raphson method | ||
| مراجع | ||
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[14] S. R. K. Lyegar, R. K. Jain, Numerical methods, New Age, 2009. | ||
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