20095ee141_1_HW7 - sol

20095ee141_1_HW7 - sol - EE141 Principles of Feedback...

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Unformatted text preview: EE141 Principles of Feedback Control (Fall 2009) Solutions to Homework 7 6.4c) Magnitude: At w = 1, the asymptote approaches ‐12.3 dB. Break points at: 1, 2, 5, 6, and 10 rad/sec. Starting slope: ‐20 dB/dec. Ending slope: ‐40 dB/dec. Phase: Starting phase: ‐90 degrees. Ending phase: ‐180 degrees. EE141 Principles of Feedback Control (Fall 2009) Solutions to Homework 7 6.5c) Magnitude: At w = 1, the asymptote approaches ‐1.94 dB. Break points at: √8 and √10 rad/sec. Starting slope: ‐20 dB/dec. Ending slope: ‐20 dB/dec. ξ= 0.35 for complex zeros and 0.32 for complex poles. Phase: Starting phase: ‐90 degrees. Ending phase: ‐90 degrees. EE141 Principles of Feedback Control (Fall 2009) Solutions to Homework 7 6.6c) Magnitude: At w = 1, the asymptote approaches ‐18 dB. Break points at: 8 rad/sec. Starting slope: ‐80 dB/dec. Ending slope: ‐100 dB/dec. Phase: Starting phase: 0 degrees. Ending phase: ‐90 degrees. EE141 Principles of Feedback Control (Fall 2009) Solutions to Homework 7 6.7c) Magnitude: At w = 1, the asymptote approaches ‐35.9 dB. Break points at: 2, 5, and 10 rad/sec. Starting slope: ‐40 dB/dec. Ending slope: ‐60 dB/dec. ξ= 0.6 for complex poles. Phase: Starting phase: ‐180 degrees. Ending phase: ‐270 degrees. ...
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This note was uploaded on 04/04/2010 for the course EE 141 taught by Professor Balakrishnan during the Fall '07 term at UCLA.

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