| Titre : | Robust control and time-domain specifications for systems of delay differential equations via eigenvalue assignment (2010) |
| Auteurs : | Sun, Yi, Auteur ; Patrick W. Nelson, Auteur ; A. Galip Ulsoy, Auteur |
| Type de document : | Article : texte imprimé |
| Dans : | Transactions of the ASME . Journal of dynamic systems, measurement, and control (Vol. 132 N° 3, Mai 2010) |
| Article en page(s) : | 07 p. |
| Note générale : | Systèmes dynamiques |
| Langues : | Anglais |
| Index. décimale : | 629.8 |
| Tags : | Delay-differential systems Differential equations Eigenvalues and eigenfunctions Linear Matrix algebra Robust control Time-domain analysis Transient response |
| Résumé : | An approach to eigenvalue assignment for systems of linear time-invariant (LTI) delay differential equations (DDEs), based upon the solution in terms of the matrix Lambert W function, is applied to the problem of robust control design for perturbed LTI systems of DDEs, and to the problem of time-domain response specifications. Robust stability of the closed-loop system can be achieved through eigenvalue assignment combined with the real stability radius concept. For a LTI system of DDEs with a single delay, which has an infinite number of eigenvalues, the recently developed Lambert W function-based approach is used to assign a dominant subset of them, which has not been previously feasible. Also, an approach to time-domain specifications for the transient response of systems of DDEs is developed in a way similar to systems of ordinary differential equations using the Lambert W function-based approach. |
| DEWEY : | 629.8 |
| ISSN : | 0022-0434 |
| En ligne : | http://asmedl.aip.org/getabs/servlet/GetabsServlet?prog=normal&id=JDSMAA000132000003031003000001&idtype=cvips&gifs=Yes&ref=no |
