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Sistemi lineari

Study material for Fondamenti di Automatica, shared by the Studwiz community and reviewed by moderators.

Fondamenti di AutomaticaBy topic

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Sistemi Lineari Mattia Natali 16 aprile 2011 Indice 1 Sistema dinamico 2 1.1 Matrice [ A, b, cT , d ] . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2 1.1.1 Tempo continuo . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3 1.1.2 Tempo discreto . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3 1.2 Metodo empirico . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3 1.2.1 Modello ARMA . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3 1.2.2 Funzione di trasferimento . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3 2 Esempi con l’operatore p 4 2.1 Integratore . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 4 2.2 Caso Newton . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 4 2.3 Esempio Ritardatore . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 4 2.4 Serbatoio . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 5 3 Aggregati di sottoinsiemi 5 3.1 Tipologie . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 5 3.2 Formula di Mason . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 6 3.2.1 Esempio sul lucido . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 6 3.2.2 Esempio studenti . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 7 4 Cambiamento di coordinate 7 4.1 Esempio: rotazione di indici . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 7 4.2 Sistemi equivalenti . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 7 5 Movimento e traiettoria 8 5.1…

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