Consider the unity-negative-feedback system shown in Figure (i) below, where gain . The root locus of this system is shown in Figure (ii) below.

For what value(s) of  will the system in Figure (i) have a pole at  ?

The root-locus plot of a closed-loop system with unity negative feedback and transfer function  in the forward path is shown in the figure. Note that  is varied from 0 to .                                        

Select the transfer function  that results in the root-locus plot of the closed-loop system as shown in the figure.

The characteristic equation of a system is

In the root locus plot for the given system, as  varies from 0 to , the break-away or break-in point(s) lie within

A linear time invariant (LTI) system with the transfer function  is connected in unity feedback configuration as shown in the figure.

For the closed loop system shown, the root locus for  intersects the imaginary axis for The closed loop system is stable for

The open-loop transfer function of a unity-feedback control system is

The value of K at the breakaway point of the feedback control system’s root-locus plot is______.

The forward-path transfer function and the feedback-path transfer function of a single loop negative feedback control system are given as   and H(s) =1, Respectively. If the variable parameter K is real positive, then the location of the breakaway point on the root locus diagram of the system is __________.

A unity negative feedback system has the open-loop transfer function . The value of the gain at which the root locus crosses the imaginary axis is ________.

The open-loop transfer function of a plant in a unity feedback configuration is given as.

The value of the gain K(>0) for which   lies on the root locus is _______.        

In the root locus plot shown in the figure, the pole/zero marks and the arrows have been removed. Which one of the following transfer functions has this root locus?

The characteristic equation of a unity negative feedback system is The open loop transfer function G(s) has one pole at 0 and two poles at -1. The root locus of the system for varying K is shown in the figure.

The constant damping ratio line, for , intersects the root locus at point A. The distance from the origin to point A is given as 0.5. The value of K at point A is _____.  

For the system shown in the figure,  lies on the root locus if K is _____.                         

The root locus plot for a system is given below. The open loop transfer function corresponding to this plot is given by

The feedback configuration and the pole-zero locations of  are shown below. The root locus for negative value of k, i.e. for , has breakaways / break-in points and angle of departure at pole P (with respect to the positive real axis) equal to

A unity feedback control system has an open-loop transfer function.

The gain K for which  will lie on the root locus of this system is

An unity feedback system is given as .

Indicate the correct root locus diagram.

Given the , the point of intersection of the asymptotes of the root loci with the real axis is

The root locus of the system  has the break-away point located at

Which of the following points is NOT on the root locus of a system with the open loop transfer function

The root-locus diagram for a closed loop feedback system is shown in figure. The system is over-damped.

Consider the points  and  in the s-plane. Then, for a system with the open loop transfer function

If the open-loop transfer function is a ratio of a numerator polynomial of degree ‘m’ and a denominator polynomial of degree ‘n’, then the integer (n - m) represents the number of

Given a unity feedback system with open loop transfer function,. The root locus plot of the system is of the form.

The characteristic equation of a feedback control system is given by, where is a scalar variable parameter. In the root loci diagram of the system the asymptotes of the root locus for large values of K meet at a point in the s-plane whose coordinates are