HW2 - MEEN 651 Control System Design Homework 2: Modeling of

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MEEN 651 Control System Design Homework 2: Modeling of Electro-Mechanical Systems and Linearization Assigned: Tuesday, 9 Sept. 2007 Due: Tuesday, 16 Sept. 2007, 5:00 pm Problem 1) For the electrical circuit shown below, a. Derive the governing equations (Hint: define I 1 and I 2 as the currents through inductors L 1 and L 2 , respectively). b. Determine a state space representation. Assume the outputs are V R and V C2 . Figure 1: Electrical circuit for Problem 1 Problem 2) A graphic equalizer is an audio amplifier (filter) which allows you to select different levels of amplification within different frequency regions. The following OP amp circuit is an example of a circuit element in a graphic equalizer. Determine the transfer function from the input voltage, to the output voltage. v i OP amp 1 OP amp 2 OP amp 3 v 1 v 2 Figure 2: Electrical circuit for Problem 2
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Hint: v i is applied to the first two OP amp circuits as a common input. Specify outputs of OP amp 1 and OP amp2 as v 1 and v 2 and calculate these two outputs separately. Then
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HW2 - MEEN 651 Control System Design Homework 2: Modeling of

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