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Unformatted text preview: Problem : Closed-Loop Transfer Functions Figure 1. Block diagram of a closed loop system. Red numbers indicate system output and inputs. The overall system (Figure 1) indicated with a red line has one output and 3 inputs: 1. Y(s): system output, 2. Y sp (s) : system input (set point), 3. P 1 : system input 4. P 3 : system input. In order to find closed loop transfer functions , you have to find an expression relating the system output to system inputs, which looks like: 1 2 1 3 3 ( ) ( ) ( ) ( ) ( ) ( ) ( ) sp Y s F s Y s F s P s F s P s = + + (1) where F 1 , F 2 , and F 3 are closed loop transfer functions . Note that equation (1) should explicitly include G 1 , G 2 , G c , G a , G p , e- s , K m1 , K m2 , K m3 , Y sp , Y, P 1 , and P 3 ( i.e. all transfer functions and gains given in the boxes, and system inputs and output in Figure 1). But it should not include Y sp , Y, E, P 2 , P 4 , P 5 , P 6 , P 7 , P 8 , P 9 , P 10 , and P 11 . It is better to start your analysis from system input Y...
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- Spring '08