For a first order process G(s)= 4/(s+0.5): (a) Qualitatively sketch the pattern of the Bode diagram...

For a first order process G(s)= 4/(s+0.5):

(a) Qualitatively sketch the pattern of the Bode diagram for this process, and indicate the limiting behaviors( i.e., the slopes and values as s --> 0 and s --> infinity) of ARn( the normalized amplitude ratio) and Phi ( the phase shift) in the plots.

(b) Will a P-only control possibly make the process unstable? Show your reasoning based on the Bode stability criterion.

(c) What if a delay term e^-5s is included, i.e., G(s) = - 4e^-5s/(s+0.5, will a P-only control possibly make the process unstable (you don't need to determine the exact value of the ultimate controller gain Kcu)? Show your reasoning based on the Bode stability criterion.

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Expert Solution

Amanda K answered 1 week ago

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