A Genetic Algorithm Compared with a Gradient-Based Method for the Solution of an Active-Control Model Problem
Overview & Synopsis
In this study, a linear active-control model problem is employed to conduct a preliminary performance comparison between a genetic algorithm and a classical optimization method based on the evaluation of a gradient of functional. For this purpose, we consider a system modeled by the heat equation in one space dimension controled by a source term. The cost functional is a quadratic form of the distance between the final state and a prescribed function augmented of a penalty involving the control quadratically. The problem is first solved by a direct identification of the «optimal-control law» from the solution of a Riccati system. A simple genetic algorithm is implemented afterwards and compared.
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Document Information
| Document Title | A Genetic Algorithm Compared with a Gradient-Based Method for the Solution of an Active-Control Model Problem |
|---|---|
| Author / Organization | Nathalie Marco, Cyril Godart, Jean-Antoine Desideri, Bertrand Mantel, Jacques Périaux |
| Subject & Discipline | Multidisciplinary Academic Open Research |
| Categories | Science & Mathematics |
| Publication Year | 1996 |
| License / Rights | Open Access / Creative Commons |
| Resource Verification | Listed PDF (Verification Pending) |
| Original Host Website |
HAL Open Science
(hal.science)
|
| File Format | application/pdf (Portable Document Format) |
| Language | EN |
| Catalog ID | DOC-109902 |
| Original Source Link | Visit Source Page on hal.science » |