Discontinuous Legendre Wavelet Galerkin Method for Optimal Control of Time Delayed Systems
| Autor: | Chengyou Luo, Xiaoyang Zheng, Zhaohui Zhang |
|---|---|
| Rok vydání: | 2020 |
| Předmět: |
0209 industrial biotechnology
Legendre wavelet Computer science MathematicsofComputing_NUMERICALANALYSIS 02 engineering and technology Optimal control 01 natural sciences 020901 industrial engineering & automation Time delayed 0103 physical sciences Signal Processing Applied mathematics Electrical and Electronic Engineering Galerkin method 010301 acoustics |
| Zdroj: | International Journal of Circuits, Systems and Signal Processing. 14:875-880 |
| ISSN: | 1998-4464 |
| DOI: | 10.46300/9106.2020.14.113 |
| Popis: | Time-delay systems arise in many important applications in science and engineering and optimal control of delay differential equations are of theoretical and practical importance. This paper presents discontinuous Legendre wavelet Galerkin (DLWG) approach for solving optimal control problem of time-delayed systems. This new method demonstrates that operational matrices of derivative, delay and product are lower dimensions and sparse because of calculation only on each subinterval. The advantages are implemented to solve algebraic equations transformed from the time-delayed systems with less storage space and execution time. Finally, an experiment is included to illustrate the effectiveness and applicability of the proposed method |
| Databáze: | OpenAIRE |
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