Computation of optimal controls for non-linear distributed-parameter systems using multivariate spline functions
A computational technique is developed for the solution of optimal control problems for distributed-parameter systems. The method involves an expansion of the state variables in terms of multivariate spline basis functions. The optimal control problem is thereby reduced to a finite-dimensional const...
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| Vydáno v: | International journal of systems science Ročník 9; číslo 12; s. 1387 - 1395 |
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| Hlavní autoři: | , |
| Médium: | Journal Article |
| Jazyk: | angličtina |
| Vydáno: |
Taylor & Francis Group
01.12.1978
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| ISSN: | 0020-7721, 1464-5319 |
| On-line přístup: | Získat plný text |
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| Shrnutí: | A computational technique is developed for the solution of optimal control problems for distributed-parameter systems. The method involves an expansion of the state variables in terms of multivariate spline basis functions. The optimal control problem is thereby reduced to a finite-dimensional constrained minimization problem that may be solved numerically using standard algorithms. Unlike in previous approaches, the system partial differential equations are satisfied exactly at every stage of the computation without, however, explicitly solving them. This feature results in both a decreased computational load and an increased solution accuracy. A numerical example is presented. |
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| ISSN: | 0020-7721 1464-5319 |
| DOI: | 10.1080/00207727808941785 |