| Titre : |
Limit cycles in discrete systems |
| Type de document : |
texte imprimé |
| Auteurs : |
Ali Goucem, Auteur ; D. P. Atherton, Directeur de thèse |
| Editeur : |
University of Sussex |
| Année de publication : |
1984 |
| Importance : |
51 f. |
| Présentation : |
ill. |
| Format : |
27 cm. |
| Note générale : |
Mémoire de Master : Automatique : Angleterre, University of Sussex : 1984
Annexe f. 52 - 86 . Bibliogr. f. 87 |
| Langues : |
Anglais (eng) |
| Mots-clés : |
Nonlinear sampled data systems
Continuous systems
Limit cycles
Continuous describing function
Z-transform function
A-loci
CAD software |
| Index. décimale : |
Ms00384 |
| Résumé : |
Instabilities usually of interest in typical nonlinear sampled data systems, as with continuous systems, are those which occur as limit cycles.
Methods which allow the detrmination of the values of certain system parameters for which limit cycles cease are therefore particularly useful.
The problem is more difficult than the continuous case since even relatively simple nonlinear sampled-data systems may have several possible stable limit cycles.
Three methods have been compared here.
The first two, based on the describing function approach, namely the continuous describing function and the z-transform describing function have also been extended to systems containing nonlinearities represented by polynomials (i.e. continuous nonliearities) where it has been shown that the derivation of the D.F expression is more straightforward than in the case of a discontinuous nonlinearity such as a relay or an ideal saturation.
The third method is an exact method using A-loci and the CAD software has been extended for systems containing a quantizer and a discrete controller, thus allowing the complete digital control system to be analysed.
Also the ability to calculate the phase and gain margins for each of the exisiting limit cycles enables stable systems to be designed with given phase and gain margins. |
Limit cycles in discrete systems [texte imprimé] / Ali Goucem, Auteur ; D. P. Atherton, Directeur de thèse . - University of Sussex, 1984 . - 51 f. : ill. ; 27 cm. Mémoire de Master : Automatique : Angleterre, University of Sussex : 1984
Annexe f. 52 - 86 . Bibliogr. f. 87 Langues : Anglais ( eng)
| Mots-clés : |
Nonlinear sampled data systems
Continuous systems
Limit cycles
Continuous describing function
Z-transform function
A-loci
CAD software |
| Index. décimale : |
Ms00384 |
| Résumé : |
Instabilities usually of interest in typical nonlinear sampled data systems, as with continuous systems, are those which occur as limit cycles.
Methods which allow the detrmination of the values of certain system parameters for which limit cycles cease are therefore particularly useful.
The problem is more difficult than the continuous case since even relatively simple nonlinear sampled-data systems may have several possible stable limit cycles.
Three methods have been compared here.
The first two, based on the describing function approach, namely the continuous describing function and the z-transform describing function have also been extended to systems containing nonlinearities represented by polynomials (i.e. continuous nonliearities) where it has been shown that the derivation of the D.F expression is more straightforward than in the case of a discontinuous nonlinearity such as a relay or an ideal saturation.
The third method is an exact method using A-loci and the CAD software has been extended for systems containing a quantizer and a discrete controller, thus allowing the complete digital control system to be analysed.
Also the ability to calculate the phase and gain margins for each of the exisiting limit cycles enables stable systems to be designed with given phase and gain margins. |
|
Ms00112 
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