Approximated Optimal Control of Singularly Perturbed Systems via Haar Wavelets
| Authors: | Karimi Hamidreza, University of Tehran, Iran (Islamic Republic of)
Maralani Parviz Jabedar, University of Tehran, Iran (Islamic Republic of)
Moshiri Behzad, University of Tehran, Iran (Islamic Republic of)
Lohmann Boris, University of Bremen, Germany |
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| Topic: | 2.4 Optimal Control |
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| Session: | Optimal Control Theory and Design Methods |
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| Keywords: | Singularly perturbed systems, Haar wavelet, and optimal control |
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Abstract
This paper deals with the implementation of 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 by solving only the linear algebraic equations are calculated. The results are illustrated with a simple example.
