true or false Consider a unity feedback system depicted by t

true or false?

Consider a unity feedback system depicted by the block diagram on the left (note that H(s)-1). The root locus for this system with respect to K is given on the right. This system is not stable when K is large. Forward Actuating transfer function -plane Output signal Input C(s) R(s) KG(s) (2) H(s) Feedback transfer function For the system in (2), there is no value of control gain K that makes the system (3) critically damped.

Solution

2) True The system is not stable for large values of K as you can see from root locus the closed loop roots move to right hand side of s-plane that makes the system unstable

3) False Root locus is the plots of closed loop roots when K varies ,you can see from graph you can make the roots fall on jw axis for critically damped response with for some K value