Correction of an admissible control in a nonlinear perturbed problem with fixed ends
| Autor: | D.A. Makarov, Mikhail Dmitriev, Yu.S. Belinskaya |
|---|---|
| Rok vydání: | 2021 |
| Předmět: |
Series (mathematics)
Computer science Structure (category theory) Perturbation (astronomy) Fredholm integral equation Regularization (mathematics) Tikhonov regularization Nonlinear system symbols.namesake symbols General Earth and Planetary Sciences Applied mathematics Limit (mathematics) General Environmental Science |
| Zdroj: | Procedia Computer Science. 186:331-336 |
| ISSN: | 1877-0509 |
| Popis: | A solution of a nonlinear perturbed unconstrained point-to-point control problem, in which the unperturbed system is differentially flat, is considered in the paper. An admissible open-loop control in it is constructed using the covering method. The main part of the obtained admissible control correction in the limit problem is found by expanding perturbed problem solution in series in terms of the perturbation parameter. The first term of the expansion is determined by A.N. Tikhonov’s regularization of Fredholm integral equation of the first kind. As shown by numerical experiments, the found structure of an admissible control allows one to find the final form of high precision point-to-point control based on the solution of an auxiliary variational problem in its neighborhood. |
| Databáze: | OpenAIRE |
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