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| Titel: |
Nonlinear analysis in the presence of parametric uncertainties |
| Auteur: |
Ferreres, G. Fromion, V. |
| Verschenen in: |
International journal of control |
| Paginering: | Jaargang 69 (1998) nr. 5 pagina's 695-716 |
| Jaar: |
1998-03-15 |
| Inhoud: |
The aim of this paper is to study the existence of limit-cycles in a closed loop, which simultaneously contains nonlinearities and parametric uncertainties. Three methods are presented: we first consider the problem of detecting a limit-cycle using a necessary condition of oscillation. A graphical method and a first based method are proposed. We then consider the problem of checking the absence of limit-cycles despite parametric uncertainties. A second based method is proposed, which uses a sufficient condition of non-oscillation. An example is finally presented: the idea is to use the necessary condition of oscillation, so as to synthesize a controller which modifies the characteristics (magnitude and frequency) of the limit-cycle. |
| Uitgever: |
Taylor & Francis |
| Bronbestand: |
Elektronische Wetenschappelijke Tijdschriften |
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