Robust control and time-domain specifications for systems of delay differential equations via eigenvalue assignment / Sun, Yi in Transactions of the ASME . Journal of dynamic systems, measurement, and control, Vol. 132 N° 3 (Mai 2010)  

Public ISBD [article]  inTransactions of the ASME . Journal of dynamic systems, measurement, and control > Vol. 132 N° 3 (Mai 2010) . - 07 p. Titre : Robust control and time-domain specifications for systems of delay differential equations via eigenvalue assignment Type de document : texte imprimé Auteurs : Sun, Yi, Auteur ; Patrick W. Nelson, Auteur ; A. Galip Ulsoy, Auteur Année de publication : 2010 Article en page(s) : 07 p. Note générale : Systèmes dynamiques Langues : Anglais (eng) Mots-clés : Delay-differential systems Differential equations Eigenvalues and eigenfunctions Linear Matrix algebra Robust control Time-domain analysis Transient response Index. décimale : 629.8 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=JDSMAA00013200 [...] [article] Robust control and time-domain specifications for systems of delay differential equations via eigenvalue assignment [texte imprimé] / Sun, Yi, Auteur ; Patrick W. Nelson, Auteur ; A. Galip Ulsoy, Auteur . - 2010 . - 07 p. Systèmes dynamiques Langues : Anglais (eng) in Transactions of the ASME . Journal of dynamic systems, measurement, and control > Vol. 132 N° 3 (Mai 2010) . - 07 p. Mots-clés : Delay-differential systems Differential equations Eigenvalues and eigenfunctions Linear Matrix algebra Robust control Time-domain analysis Transient response Index. décimale : 629.8 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=JDSMAA00013200 [...]

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