engineering recuitment GATE ECE 2023-24 Test Series Control Systems Stability Analysis Condition For Stability
Consider a unity feedback configuration with a plant and a PID controller as shown in the figure. \(G(s) = \frac{1}{(s+1)(s+3)}\) and \(C(s) = K \frac{(s+3-j)(s+3+j)}{s}\)with K being scaler. the closed loop is
1
only stable for K > 0
2
only stable for K between -1 and +1
3
only stable for K < 0
4
stable for all values of K