Numerically efficient approximations to the optimal control of linear singularly perturbed systems based on Haar wavelets

H. R. Karimi; P. Jabedar Maralani; B. Moshiri; B. Lohmann

doi:10.1080/00207160512331323407

Numerically efficient approximations to the optimal control of linear singularly perturbed systems based on Haar wavelets

H. R. Karimi, P. Jabedar Maralani, B. Moshiri, B. Lohmann

Research output: Contribution to journal › Article › peer-review

45 Scopus citations

Abstract

In this paper we present an implementation of the Haar wavelet to the optimal control of linear singularly perturbed systems. The approximated composite control and the slow and fast trajectories with respect to a quadratic cost function are calculated by solving only the linear algebraic equations. The results are illustrated with a simple example.

Original language	English
Pages (from-to)	495-507
Number of pages	13
Journal	International Journal of Computer Mathematics
Volume	82
Issue number	4
DOIs	https://doi.org/10.1080/00207160512331323407
State	Published - Apr 2005
Externally published	Yes

Keywords

Haar wavelet
Optimal control
Singularly perturbed systems

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10.1080/00207160512331323407

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abstract = "In this paper we present an implementation of the Haar wavelet to the optimal control of linear singularly perturbed systems. The approximated composite control and the slow and fast trajectories with respect to a quadratic cost function are calculated by solving only the linear algebraic equations. The results are illustrated with a simple example.",

keywords = "Haar wavelet, Optimal control, Singularly perturbed systems",

author = "Karimi, {H. R.} and {Jabedar Maralani}, P. and B. Moshiri and B. Lohmann",

note = "Funding Information: This research project was partially financially supported under Research Grant 8101004-1-1 provided by the university of Tehran and partially by the German Academic Exchange Service (DAAD).",

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AU - Moshiri, B.

AU - Lohmann, B.

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N2 - In this paper we present an implementation of the Haar wavelet to the optimal control of linear singularly perturbed systems. The approximated composite control and the slow and fast trajectories with respect to a quadratic cost function are calculated by solving only the linear algebraic equations. The results are illustrated with a simple example.

AB - In this paper we present an implementation of the Haar wavelet to the optimal control of linear singularly perturbed systems. The approximated composite control and the slow and fast trajectories with respect to a quadratic cost function are calculated by solving only the linear algebraic equations. The results are illustrated with a simple example.

KW - Haar wavelet

KW - Optimal control

KW - Singularly perturbed systems

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Numerically efficient approximations to the optimal control of linear singularly perturbed systems based on Haar wavelets

Abstract

Keywords

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