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H [infinity] control for continuous-time switched linear systems / Grace S. Deaecto in Transactions of the ASME . Journal of dynamic systems, measurement, and control, Vol. 132 N° 4 (Juillet 2010) 

Public ISBD [article]  in Transactions of the ASME . Journal of dynamic systems, measurement, and control > Vol. 132 N° 4 (Juillet 2010) . - 07 p. Titre : H [infinity] control for continuous-time switched linear systems Type de document : texte imprimé Auteurs : Grace S. Deaecto, Auteur ; José C. Geromel, Auteur Année de publication : 2010 Article en page(s) : 07 p. Note générale : Systèmes dynamiques Langues : Anglais (eng) Mots-clés : Control  system  synthesis  Feedback  Linear  matrix  inequalities  Linear  systems  Lyapunov  methods  Stability Index. décimale : 629.8 Résumé : This paper deals with the output feedback H[infinity] control design problem for continuous-time switched linear systems. More specifically, the main goal is to design a switching rule together with a dynamic full order linear controller to satisfy a prespecified H[infinity] level defined by the [script L]2 gain from the input to the output signal. Initially, the state feedback version of this problem is solved in order to put in evidence the main difficulties we have to face toward the solution of the output feedback control design problem. The results reported in this paper are based on the so called Lyapunov–Metzler inequalities, which express a sufficient condition for switched linear systems global stability. The solution of the previously mentioned output feedback control design problem through a linear matrix inequality based method is the main contribution of the present paper. An academic example borrowed from literature is used for illustration. DEWEY : 629.8 ISSN : 0022-0434 En ligne : http://asmedl.aip.org/getabs/servlet/GetabsServlet?prog=normal&id=JDSMAA00013200 [...] [article] H [infinity] control for continuous-time switched linear systems [texte imprimé] / Grace S. Deaecto, Auteur ; José C. Geromel, Auteur . - 2010 . - 07 p. Systèmes dynamiques Langues : Anglais (eng) in Transactions of the ASME . Journal of dynamic systems, measurement, and control > Vol. 132 N° 4 (Juillet 2010) . - 07 p. Mots-clés : Control  system  synthesis  Feedback  Linear  matrix  inequalities  Linear  systems  Lyapunov  methods  Stability Index. décimale : 629.8 Résumé : This paper deals with the output feedback H[infinity] control design problem for continuous-time switched linear systems. More specifically, the main goal is to design a switching rule together with a dynamic full order linear controller to satisfy a prespecified H[infinity] level defined by the [script L]2 gain from the input to the output signal. Initially, the state feedback version of this problem is solved in order to put in evidence the main difficulties we have to face toward the solution of the output feedback control design problem. The results reported in this paper are based on the so called Lyapunov–Metzler inequalities, which express a sufficient condition for switched linear systems global stability. The solution of the previously mentioned output feedback control design problem through a linear matrix inequality based method is the main contribution of the present paper. An academic example borrowed from literature is used for illustration. DEWEY : 629.8 ISSN : 0022-0434 En ligne : http://asmedl.aip.org/getabs/servlet/GetabsServlet?prog=normal&id=JDSMAA00013200 [...]