A computational method for optimal control problem of time-varying state-delayed systems by Haar wavelets
We present a computational method using Haar wavelets to determine the piecewise constant feedback controls for a finite-time linear optimal control problem of a time-varying state-delayed system. The method is simple and computationally advantageous. The approximate optimal trajectory and optimal c...
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| Veröffentlicht in: | International journal of computer mathematics Jg. 83; H. 2; S. 235 - 246 |
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| Format: | Journal Article |
| Sprache: | Englisch |
| Veröffentlicht: |
Taylor & Francis
01.02.2006
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| ISSN: | 0020-7160, 1029-0265 |
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| Abstract | We present a computational method using Haar wavelets to determine the piecewise constant feedback controls for a finite-time linear optimal control problem of a time-varying state-delayed system. The method is simple and computationally advantageous. The approximate optimal trajectory and optimal control are calculated using the Haar wavelet integral, product, and delay operational matrices. An illustrative example is included to demonstrate the validity and applicability of the technique. |
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| AbstractList | We present a computational method using Haar wavelets to determine the piecewise constant feedback controls for a finite-time linear optimal control problem of a time-varying state-delayed system. The method is simple and computationally advantageous. The approximate optimal trajectory and optimal control are calculated using the Haar wavelet integral, product, and delay operational matrices. An illustrative example is included to demonstrate the validity and applicability of the technique. |
| Author | Karimi, H. R. |
| Author_xml | – sequence: 1 givenname: H. R. surname: Karimi fullname: Karimi, H. R. organization: Centre of Industrial Mathematics, University of Bremen |
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| SubjectTerms | Delay operational matrix Haar wavelet Integral operational matrix Optimal control Product operational matrix Time delay Time-varying systems |
| Title | A computational method for optimal control problem of time-varying state-delayed systems by Haar wavelets |
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