MEM255Su06-07.10.bDiags.studs

MEM255Su06-07.10.bDiags.studs - MEM 255: Introduction to...

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MEM 255: Introduction to Controls (Block Diagrams) Dr. Ajmal Yousuff Dept. MEM Drexel University
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MEM 255: Controls 2 Yousuff Y(s) Block Diagrams Z(s) U(s) G 2 (s) G 1 (s) G(s) U(s) Y(s) Y(s)=G(s)U(s) ? 2 2 1 ( ) ( ) ( ) ( ( ( ) ) ) Y s G s G s G s Z U s s = = 2 1 ( ) ( ) ( ) G s G s G s = G 1 and G 2 are “non-blocking”
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MEM 255: Controls 3 Yousuff BD Notation + U(s) Y(s) _ U 2 (s) + U 3 (s) Y(s) = U(s) – U 2 (s) + U 3 (s) (Summation) Y(s)=U(s) U(s) U(s) U(s) (pick-off)
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MEM 255: Controls 4 Yousuff Example (feedback) Y(s) U(s) G 2 (s) G 1 (s) _ G(s) U(s) Y(s) Y(s)=G(s)U(s) ? [ ] [ ] 1 2 1 1 2 1 2 1 1 1 2 1 ( ) y G u G y G u G G y I G G y G u y I G G G u - = - = - + = = + [ ] 1 1 2 1 ( ) ( ) ( ) ( ) G s I G s G s G s - = +
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MEM 255: Controls 5 Yousuff do now G 1 G 2 u y G 3 Find the equivalent transfer function G(s) S 1 S 2 u y S 3
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6 Yousuff MIMO systems S 1 S 2 S 3 y 2 u 2 u 1 y 1 What are the transfer functions 1 1 2 1 1 2 1 2 ( ) ( ) ( ) ( ) , , , ( ) ( ) ( ) ( ) Y s
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MEM255Su06-07.10.bDiags.studs - MEM 255: Introduction to...

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