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A new approach to the prediction of limit cycles in nonlinear systems with asymmetrical nonlinearities / Abdallah Miloudi

Public ISBD Titre : A new approach to the prediction of limit cycles in nonlinear systems with asymmetrical nonlinearities Type de document : texte imprimé Auteurs : Abdallah Miloudi, Auteur ; R. G. Cameron, Directeur de thèse Editeur : Bradford : University of Bradford Année de publication : 1982 Importance : 53 f. Présentation : ill. Format : 30 cm. Note générale : Mémoire de Master : Electronique : Bradford, University of Bradford : 1982 Bibliogr. f. 54 - 55 . Annexe f. 56 - 115 Langues : Anglais (eng) Mots-clés : Limit  cycles Nonlinear  feedback  systems Walsh  functions Index. décimale : Ms00382 Résumé : It was recently shown that the existence of limit cycles in nonlinear feedback systems can be predicted by using combinations of Walsh functions to approximate to signals around the feedback loop. This necessitated the introduction of two new quantities, the equivalent Gain (EG) and the Walsh Gain (WG), representing the responses of linear and nonlinear elements, respectively, to Walsh function inputs. This dissertation considers the application of the method to the case where the nonlinear element in the feedback system is an asymmetrical nonlinearity. This involves the development of modified EG and WG functions, appropriate to the balance around the feedback loop of periodic signals with non-zero mean values. The proposed method is compared with the describing function approach for a selection of systems with relay type nonlinearities, and an at tempt is made to assess the relative advantages and disadvantages of the two techniques. A new approach to the prediction of limit cycles in nonlinear systems with asymmetrical nonlinearities [texte imprimé] / Abdallah Miloudi, Auteur ; R. G. Cameron, Directeur de thèse . - Bradford : University of Bradford, 1982 . - 53 f. : ill. ; 30 cm. Mémoire de Master : Electronique : Bradford, University of Bradford : 1982 Bibliogr. f. 54 - 55 . Annexe f. 56 - 115 Langues : Anglais (eng) Mots-clés : Limit  cycles Nonlinear  feedback  systems Walsh  functions Index. décimale : Ms00382 Résumé : It was recently shown that the existence of limit cycles in nonlinear feedback systems can be predicted by using combinations of Walsh functions to approximate to signals around the feedback loop. This necessitated the introduction of two new quantities, the equivalent Gain (EG) and the Walsh Gain (WG), representing the responses of linear and nonlinear elements, respectively, to Walsh function inputs. This dissertation considers the application of the method to the case where the nonlinear element in the feedback system is an asymmetrical nonlinearity. This involves the development of modified EG and WG functions, appropriate to the balance around the feedback loop of periodic signals with non-zero mean values. The proposed method is compared with the describing function approach for a selection of systems with relay type nonlinearities, and an at tempt is made to assess the relative advantages and disadvantages of the two techniques.

Exemplaires

Code-barres	Cote	Support	Localisation	Section	Disponibilité	Spécialité	Etat_Exemplaire
Ms00382	Ms00382	Papier	Bibliothèque centrale	Mémoire de Master	Disponible