Consider a system with the transfer function G(s) = 1/(s+1)². 11)An integral controller Ge(s) = K1/s gives one closed-loop pole at s = -a . The value of KI is -a? – 2a – 1 a? – 2a + 1 a3 – 2a? + a -a – 2a? - a 12)Determine the value of a that maximizes the integral gain.

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Common data for Q11-Q13
Consider a system with the transfer function
G(s) = 1/(s +1)².
11)An integral controller Ge(s) = K1/s
gives one closed-loop pole at s = -a.
The value of KỊ is
-a? – 2a – 1
a² – 2a + 1
а3 — 2а? + а
-a³ – 2a?
a
12)Determine the value of a that maximizes the
integral gain.
Transcribed Image Text:Common data for Q11-Q13 Consider a system with the transfer function G(s) = 1/(s +1)². 11)An integral controller Ge(s) = K1/s gives one closed-loop pole at s = -a. The value of KỊ is -a? – 2a – 1 a² – 2a + 1 а3 — 2а? + а -a³ – 2a? a 12)Determine the value of a that maximizes the integral gain.
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