The open-loop transfer function of the system shown in the figure, is

For , which of the following real axis point(s) is/are on the root locus?

Consider the closed-loop system shown in the figure with

The root locus for the closed-loop system is to be drawn for . The angle of departure (between and ) of the root locus branch drawn from the pole , in degrees, is __________ (rounded off to the nearest integer)

The root locus of the feedback control system having the characteristic equation where K>0, enters into the real axis at        

The gain at the breakaway point of the root locus of a unity feedback system with open loop transfer function  is

The open loop poles of a third order unity feedback system are at 0, -1, -2. Let the frequency corresponding to the point where the root locus of the system transit to unstable region be K. Now suppose we introduce a zero in the open loop transfer function at -3, while keeping all the earlier open loop poles intact. Which one of the following is TRUE about the point where the root locus of the modified system transits to unstable region?

An open loop transfer function G(s) of a system is  

For a unity feedback system, the breakaway point of the root on the real axis occurs at,

The root locus of a unity feedback system is shown in the figure

The closed loop transfer function of the system is

The open loop transfer function G(s) of a unity feedback control system is given as,1

From the root locus, it can be inferred that when k tends to positive infinity,         

The characteristics equation of a closed-loop system is

. Which of the following statements is true?  

A closed loop system has the characteristic function .  Its root locus plot against K is  

The figure shows the root locus plot (location of poles not given) of a third-order system whose open-loop transfer function is                 

A unity feedback system has an open loop transfer function, .  The root locus plot is

The open loop transfer function of a unity feedback system is given by                

Find the angle and real axis intercept of the asymptotes, breakaway points and the imaginary axis crossing points, if any.

Given the characteristic equation

Sketch the root locus as K varies from zero to infinity.  Find the angle and real axis intercept of the asymptotes, break-away/break-in points, and imaginary axis crossing points, if any.

A unity feedback system has open-loop transfer function  

(a) Draw a rough sketch of the root locus plot; given that the complex roots of the characteristic equation move along a circle.

(b) As K increases, does the system become stable? Justify your answer.

(c) Find the value of K (if it exists) so that the damping  of the complex closed loop poles is 0.3

Which of the following figure(s) represent valid root loci in the s-plane for positive K? Assume that the system has a transfer function with real co-efficient.

A unity feedback system has an open-loop transfer function of the form         

Which of the loci shown in figure can be valid root-loci for the system?

A unity feedback system has the forward loop transfer function

(c) Without calculating the real-axis breakaway

 points. Sketch the form of root loci for the system