Free and forced modes responses of fractional operators based on non-identical RLC cells
| Autor: | Xavier Moreau, Roy Abi Zeid Daou, Clovis Francis |
|---|---|
| Přispěvatelé: | Faculty of Engineering I, Lebanese University [Beirut] (LU), Laboratoire de l'intégration, du matériau au système (IMS), Université Sciences et Technologies - Bordeaux 1-Institut Polytechnique de Bordeaux-Centre National de la Recherche Scientifique (CNRS) |
| Jazyk: | angličtina |
| Rok vydání: | 2010 |
| Předmět: |
phase constancy
electrical circuits 02 engineering and technology robustness 01 natural sciences inductance law.invention [SPI.AUTO]Engineering Sciences [physics]/Automatic Robustness (computer science) Control theory law 0103 physical sciences 0202 electrical engineering electronic engineering information engineering 010301 acoustics Mathematics Electronic circuit State-space representation 020208 electrical & electronic engineering Mathematical analysis RLC cells initial parameters influence dynamic behaviour Active suspension Inductance Capacitor fractional operators Electrical network RLC circuit state space representation fractional controllers |
| Zdroj: | International Journal of Adaptive and Innovative Systems (IJAIS) International Journal of Adaptive and Innovative Systems (IJAIS), Inderscience Publishers, 2010, Volume 1 (Issue 3/4), pp.318-333. ⟨10.1504/IJAIS.2010.034807⟩ |
| ISSN: | 1740-2107 1740-2115 |
| DOI: | 10.1504/IJAIS.2010.034807⟩ |
| Popis: | International audience; In this article, we study the behaviour of the RLC cells for the four configurations that we presented earlier in Abi Zeid Daou et al. (2009a). An electric circuit is used in order to study the fractional behaviour and the robustness of these RLC operators and compare their responses to the behaviour of the fractance which is an ideal fractional operator (Moreau et al., 2003). This analysis is conducted for both natural and forced responses. In more details, the initial conditions of the capacitors and inductances are neglected in the first case and they are taken into consideration in the second one. The number of initial conditions is related to the number of RLC cells used. The robustness of all arrangements is analysed by varying the unsteady parameter value which is represented by an inductance in the electrical circuit. This inductance represents a different variable parameter in each field of application. For example, in the hydropneumatic domain, this inductance refers to the mass of the vehicle as the mass has the main influence on the dynamics and the robustness when designing the active suspension (Moreau et al., 2001). A conclusion will sum up the results for all four arrangements and a confirmation that the phase constancy and the robustness are present in both modes. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
|