We have observed in the previous chapter that there are two related points with respect to study of stability of a control system. First, all the poles of the closed loop system must lie in the left hand side of the imaginary axis in the *s*-plane. The second, the examination that has to be made as to see how close the poles are with the *jω*-axis of the *s*-plane. The second aspect provides us with information regarding the relative stability of the control system.

We have also seen that the poles are the roots of the characteristic equation. The characteristic equation is obtained by putting the denominator of the closed loop transfer function to zero. The characteristic equation is useful in the study ...

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