4. Consider the following system with a unity feedback: K G(s) = s(1+ Ts) (a) What would be the values of K and I to ensure stability? (b) Suppose we want the poles to be on the left of the line s = -3, then what would be the values of K and T to satisfy this requirement? (c) Plot the feasible values of K and T on the (K, T) plane. (d) Repeat (a), (b), and (c) when K(s+1) G(s) s(1+Ts)(1+ 2s)

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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4. Consider the following system with a unity feedback :

( a ) What would be the values of K and T to ensure stability ?

(b ) Suppose we want the poles to be on the left of the line s = -3 , then what would be the values of K and T to satisfy this requirement ?

( c ) Plot the feasible values of K and T on the ( K , T ) plane .

( d ) Repeat ( a ) , ( b ) , and ( c ) when

4. Consider the following system with a unity feedback:
K
G(s) :
s(1+ Ts)
(a) What would be the values of K and T to ensure stability?
(b) Suppose we want the poles to be on the left of the line s = -3, then what
would be the values of K and T to satisfy this requirement?
(c) Plot the feasible values of K and T on the (K, T) plane.
(d) Repeat (a), (b), and (c) when
K(s+ 1)
G(s)
s(1+ Ts)(1+2s)
Transcribed Image Text:4. Consider the following system with a unity feedback: K G(s) : s(1+ Ts) (a) What would be the values of K and T to ensure stability? (b) Suppose we want the poles to be on the left of the line s = -3, then what would be the values of K and T to satisfy this requirement? (c) Plot the feasible values of K and T on the (K, T) plane. (d) Repeat (a), (b), and (c) when K(s+ 1) G(s) s(1+ Ts)(1+2s)
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