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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| Vydáno v: | International journal of computer mathematics Ročník 83; číslo 2; s. 235 - 246 |
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| Hlavní autor: | |
| Médium: | Journal Article |
| Jazyk: | angličtina |
| Vydáno: |
Taylor & Francis
01.02.2006
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| Témata: | |
| 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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| Cites_doi | 10.1115/1.3140675 10.1080/00207178808906224 10.1080/00207160512331323407 10.1109/TCS.1986.1086019 10.1111/j.1934-6093.2005.tb00390.x 10.1007/BFb0041228 10.1049/ip-cta:19970702 10.1007/BF01456326 10.1080/00207728508926748 10.1109/81.828579 10.1080/00207727508941868 10.1080/00207170500089455 10.1007/s10883-005-4172-z 10.1080/0020718508961193 10.1016/j.matcom.2003.10.003 10.1137/0316013 10.1080/03057920412331272225 10.1080/00207160211932 10.1080/00207178408933269 |
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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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