20095ee141_1_HW1 - sol

20095ee141_1_HW1 - sol - EE141 Principles of Feedback...

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Unformatted text preview: EE141 Principles of Feedback Control (Fall 2009) Homework 1 Solution 2.1 b) x‐axis k1 x1 k2 x2 k3 y m1 Friction, b1 m2 m1 m2 __________________________________________ 2.1 c) x‐axis k1 x1 b1 x2 m1 k2 m2 F m1 m2 __________________________________________ 1 EE141 Principles of Feedback Control (Fall 2009) Homework 1 Solution 2.10) For an ideal op‐amp: For a nonideal op‐amp: 10 10 1 1 10 10 1 __________________________________________ 3.2b) 3 3 7 7 2 1 __________________________________________ 3.2c) 1 1 2 2 1 2 3 __________________________________________ 3.7c) 3 4 2 20 3 cos 4 2 3 2 2 sin 4 4 16 3.7f) EE141 Principles of Feedback Control (Fall 2009) Homework 1 Solution 2 5 __________________________________________ 2 1 2 4 2 cos 2 5 1 6 sin 2 5 4 3.8d) 1 2 1⁄2 2 1⁄4 2 1 2 4 2 16 1 4 4 4 2 4 4 1 sin 2 4 2 2 2 4 4 4 1 cos 2 4 __________________________________________ 3.9a) 2 3 3 cos 3 1 0, 3 0 1, 0 0 2 √ √ √ __________________________________________ 3.9b) 2 2 2 4 1 0, 4 0 1, 0 0 2 2 cos 4 √ 1 √ 3 1 1 1 3 √ 3 ...
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