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20095ee141_1_HW3 - sol

20095ee141_1_HW3 - sol - EE141 Principles of Feedback...

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EE141 Principles of Feedback Control (Fall 2009) Solutions to Homework 3 ____________________________________________________________________________ 3.38)
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2 sign changes in the first column => 2 roots in the RHP => unstable. 2 sign changes in the first column => 2 roots in the RHP => unstable. 3.39)
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2 sign changes in the first column => 2 roots with positive real parts. 2 sign changes in the first column => 2 roots with positive real parts.
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3.41)
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4.6) a) 3) ܻሺݏሻ ܷሺݏሻ 5ݏ ൅ 10 ݏ ൅ 11ݏ ൅ 15ݏ ൅ 10 4) ܻሺݏሻ ܷሺݏሻ 5ሺݏ ൅ 2.1ݏ ൅ .2ሻ ݏ ൅ 11.01ݏ ൅ 15.11ݏ ൅ 10.6ݏ ൅ 1
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Controller 3 has a rise time of 1.82 seconds compared to 1.61 seconds for controller 4
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