The Sine-Cosine Wavelet and Its Application in the Optimal Control of Nonlinear Systems with Constraint

Hajmohammadi, R.; NasiriSoloklo, H.; Farsangi, M.M.

doi:10.22061/jecei.2013.21

Document Type : Original Research Paper

Authors

¹ Electrical Engineering Department, Shahid Bahonar University of Kerman, Kerman, Iran

² Department of Electrical Engineering, Firoozkooh Branch, Islamic Azad University, Firoozkooh, Iran

https://doi.org/10.22061/jecei.2013.21

Abstract

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

Keywords

20.1001.1.23223952.2013.1.1.3.3

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Journal of Electrical and Computer Engineering Innovations (JECEI)

The Sine-Cosine Wavelet and Its Application in the Optimal Control of Nonlinear Systems with Constraint

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Volume 1, Issue 1 - Serial Number 1
January 2013
Pages 51-55

The Sine-Cosine Wavelet and Its Application in the Optimal Control of Nonlinear Systems with Constraint

References

References

Send comment about this article

Volume 1, Issue 1 - Serial Number 1January 2013Pages 51-55

Volume 1, Issue 1 - Serial Number 1
January 2013
Pages 51-55