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20095ee141_1_HW5 - sol

20095ee141_1_HW5 - sol - EE141 Principles of Feedback...

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Unformatted text preview: EE141 Principles of Feedback Control (Fall 2009) Solutions to Homework 5 5.2 d) 5.2 e) Assuming the poles lie at ‐1, ‐2+2i and ‐2‐2i : Center of asymptotes = ‐1 Angles of asymptotes = ±60⁰, 180⁰ Angle of departure: ‐56.3⁰ EE141 Principles of Feedback Control (Fall 2009) Solutions to Homework 5 5.4 b) Center of asymptotes = ‐4.67 Angles of asymptotes = ±60⁰, 180⁰ Frequency of imaginary axis crossing = 5.98 rad/s 5.4 d) Center of asymptotes = ‐5 Angles of asymptotes = ±90⁰ Frequency of imaginary axis crossing = none. EE141 Principles of Feedback Control (Fall 2009) Solutions to Homework 5 5.6 e) Center of asymptotes = ‐0.33 Angles of asymptotes = ±60⁰, 180⁰ Frequency of imaginary axis crossing = none, (however, at K = 0, w = 0, but the output will be 0 too!). 5.8 b) Center of asymptotes = ‐2.67 Angles of asymptotes = ±60⁰, 180⁰ Frequency of imaginary axis crossing = none, (however, at K = 0, w = 0, but the output will be 0 too!). ...
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