Aula3_SCII2010 - Sistemas de Controle II Adriano A. G....

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Unformatted text preview: Sistemas de Controle II Adriano A. G. Siqueira Aula 3 - Func ¸ ˜ao de Transferˆencia Discreta e Mapeamento s- z Sistemas de Controle II – p. 1/20 Índice • Função de Transferência Discreta • Diagrama de Blocos • Estabilidade • Mapeamento s − z Sistemas de Controle II – p. 2/20 Função de Transferência Discreta • Equação a Diferenças y ( k ) + a 1 y ( k − 1) + ··· + a n y ( k − n ) = b u ( k ) + b 1 u ( k − 1) + ··· + b m u ( k − m ) • Transformada Z Y ( z ) + a 1 z − 1 Y ( z ) + ··· + a n z − n Y ( z ) = b U ( z ) + b 1 z − 1 U ( z ) + ··· + b m z − m U ( z ) Sistemas de Controle II – p. 3/20 Função de Transferência Discreta • Função de Transferência Discreta G ( z ) = Y ( z ) U ( z ) = b + b 1 z − 1 + ··· + b m z − m 1 + a 1 z − 1 + ··· + a n z − n • Se n ≥ m G ( z ) = b ( z ) a ( z ) = b z n + b 1 z n − 1 + ··· + b m z n − m z n + a 1 z n − 1 + ··· + a n Sistemas de Controle II – p. 4/20 Função de Transferência Discreta G ( z ) = b ( z ) a ( z ) = K producttext m i =1 ( z − z i ) producttext...
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Aula3_SCII2010 - Sistemas de Controle II Adriano A. G....

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