پیوندهای مفید
اخبار و اعلانات
آمار
| تعداد نشریات | 11 |
| تعداد شماره‌ها | 209 |
| تعداد مقالات | 2,090 |
| تعداد مشاهده مقاله | 2,834,197 |
| تعداد دریافت فایل اصل مقاله | 2,053,080 |
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 | ||
|
[1] S. P. Banks, Mathematical theories of nonlinear systems, Prentice Hall, 1988.
[2] J. Slotine, W. Li, Applied nonlinear control, Prentice Hall, 1991.
[3] M. Samavat, A. K. Sedeegh, S. P. Banks, “On the approximation of pseudo linear systems by linear time varying systems,” Int. J. Eng. , vol. 17, No. 1, pp. 29-32, 2004.
[4] H. R. Marzban, M. Razzaghi, “Optimal control of linear delay systems via hybrid of block-pulse and Legendre polynomials,” Journal of the Franklin Institute, vol. 341, pp. 279-293, 2004.
[5] I. Daubechies, Ten lectures on wavelets, SIAM, Philadelphia, PA, 1992.
[6] M. Razzaghi, S. Yousefi, “Legendre Wavelets method for the Solution of Nonlinear Problems in the calculus of Variations,” Mathematical and Computer Modelling, vol. 34, pp. 45-54, , 2001.
[7] S. Yousefi, M. Razzaghi, “Legendre wavelets method for the nonlinear Volterra–Fredholm integral equations,” Mathematics and Computers in Simulation, vol. 70, pp.1-8, 2005.
[8] X.T. Wang, “Numerical solution of time-varying systems with a stretch by general Legendre wavelets,” Applied Mathematics and Computation, vol. 198, pp. 613–620, 2008.
[9] H. R. Sharif, M. A. Vali, M. Samavat, A. A. Gharavisi, “A new algorithm for optimal control of time-delay systems,” Applied Mathematical Sciences, vol. 5, No. 12, pp. 595 – 606, 2011.
[10] M. Razzaghi, S. Yousefi, “Sine-cosine wavelets operational matrix of integration and its applications in the calculus of variations,” Int. J. Sys. Sci., vol. 33, No. 10, pp. 805-810, 2002.
[11] M. T. Kajani, M. Ghasemi, E. Babolian, “Numerical solution of linear integro-differential equation by using Sine–cosine wavelets,” Applied Mathematics and Computation, vol. 180, pp. 569–574, 2006.
[12] E. Babolian, F. Fattahzadeh, “Numerical computation method in solving integral equations by using Chebyshev wavelet operational matrix of integration,” Applied Mathematics and Computation, vol. 188, pp. 1016- 1022, 2007.
[13] B. A. Ardekani, A. Keyhani, “Identification of non-linear systems using the exponential Fourier series,” Int. J. Control, vol. 50, No. 4, pp. 1553-1558, 1989.
[14] S. R. K. Lyegar, R. K. Jain, Numerical methods, New Age, 2009. | ||
|
آمار تعداد مشاهده مقاله: 2,148 تعداد دریافت فایل اصل مقاله: 1,733 |
||