Control Systems

(b) Find the transfer function of an armature controlled D.C. motor. 

(a) Obtain the transfer function of SFG shown:

(b) Find the closed loop transfer function of the system shown:

(a) Find the transfer function of

(f) Discuss the Lag compensation using example.

(e) What are the uses of polar polts? Explain.

(d) What is Nyquist stability criterion? Explain.

(c) Describe the steady state error for type 0, 1 and 2 system for step,ramp and parabolic input. 

(b) Discuss the important characteristics of potentiometer.

(a) What is the difference between open loop and closed loop control systems? Discuss. 

(a) For the system given by 

Obtain the unit ramp response and steady state error. 

(a) What are the advantages of closed loop control systems? Give examples.

(b) Compare P, PI and PID controllers.

(c) Define gain and phase margins.

(d) Check the stability of the system represented by 5s⁶ + 8s⁵ +12s⁴ + 20s³ +100s² +150s + 200 = 0

(e) What is Lead compensation?

For

Design a lag compensator, given 

Sketch the root locus for

Sketch the bode plot of the transfer function

Define and explain the various frequency domain specification.

Determine the resonant frequency W_r resonant peak M_r bandwidth for the system whose transfer function is given by and for a unity feedback control system given by

For a unity feedback control system given by

(a) Find the static error constant

(b) Find the steady state error for

Show that the system transfer function Y(s)/X(s) has a zero in the right half s-plane. Obtain y(t) when x(t) is a unit step for the system shown.

Obtain the unit step response of unity feedback system whose open loop transfer function is 

Discuss about DC servomotor and find the transfer function of field controlled DC motor.

For the system represented by the following equation find the transfer function X[s]/U(s) by signal flow graph technique. 

Find the transfer function of the following network.

Simplify the block diagram shown and obtain the closed loop transfer function C(s)/(R(s). 

Write short note on:

(b) Root Locus applications

Write short note on:

(a) Routh Hurwitz stability criterion 

The open loop transfer function of UFB system is given It is desired to have the velocity error constant  and phase margin as 40°. Design a lead compensator to meet the above specifications. 

(b) What is the minimum/non minimum phase system? Explain.

(a) Explain relative stability and its significance.

Sketch the bode plot of the transfer function 

(b) Write short note on PID controller.

(a) A unity feedback system is characterized by an open-loop transfer function Determine the gain K so that system will have a damping ratio of 0.5. For this value of K determine the settling time, peak overshoot and time to peak overshoot for a unit step input. 

(b) The open loop transfer function of a servo system with unity feedback is . Find the static error constant and obtain the steady state error of the system with input of: 

What are static error coefficients? Derive expression for the same.

What is polar plot? Explain procedure to sketch polar plot for type 0 and type 1 systems.

What is polar plot? Explain procedure to sketch polar plot for type 0 and type 1 systems.

 A control system having G(s)= draw bode plot, with k=4 find gain margin and phase margin. 

What are the limitations of frequency response methods?

Explain how to determine angle of arrival from poles and zeros to complex zeros

Sketch the root locus for unity feedback having . Determine the range of k for the system stability. 

Find the range of k for which the system, whose characteristic equation is given below is stable. F(s) = s³+ (k+0.5) s² + 4ks + 50. 

A unity feedback control system has  Using Routh's criterion calculates the range of k for which the system is i) stable ii) has closed loop poles more negative than-1. 

List the advantages and disadvantages of Routh's criterion (R-H-criterion).

A K-L-C series circuit is an example of second order function. If R = 1 ,  = 1H and C=1F, find response for a step voltage of 10 V connected as input and output across R.

 An unity feedback system has G(s)=   calculate its steady state error co-efficients when the applied input r(t) = 40 + 2t + 5t². 

Sketch the Nyquist plot of unit feedback control system having the open loop transfer function Determine the stability of the system using Nyquist stability criterion. 

For the electrical circuit shown in Fig. 2(c), obtain over all transfer function using Mason's gain formula. 

Obtain the transfer function for the block diagram shown in Fig. 2(b), using block diagram reduction method.  

List the features of transfer function.

List the features of transfer function.

List the features of transfer function.

List the features of transfer function.

List the features of transfer function.

List the features of transfer function.

For electrical system shown in Fig. Q1(C), obtain transfer function V₂(s)/V₁(s). 

Construct mathematical model for the mechanical system shown in Fig. Q1(b) Then draw electrical equivalent circuit based on F-V analogy.

A R-L-C series circuit is an example of second order function  and C = IF, find response for a step voltage of 10 V connected as input and output across R.

Obtain the state model for the electrical system given in following figure choosing the state variables as .

Find the transfer function for a system having state model as given below:
.

Sketch the Nyquist plot of unit feedback control system having the open loop transfer function  Determine the stability of the system using Nyquist stability criterion.

What is polar plot? Explain procedure to sketch polar plot for type 0 and type 1 systems.

A control system  draw bode plot, with k = 4 and find gain margin and phase margin.

What are the limitations of frequency response methods?

Explain how to determine angle of arrival from poles and Zeros to complex zeros.

Sketch the root locus for unity feedback having . Determine the range of k for the system stability.

Find the range of k for which the system, whose characteristic equation is given below is stable..

A unity feedback control system has . Using Routh's criterion calculates the range of k for which the system is i) stable ii) has closed loop poles more negative than -1.

List the advantages and disadvantages of Routh's criterion (R-H-criterion).

What are the properties of good control system?

An unity feedback system has  calculate its steady co-efficients when the applied input

What are static error coefficients? Derive expression for the same.

For the electrical circuit shown in the following figure, obtain over all transfer function using Mason's gain formula.

Obtain the transfer function for the block diagram shown in the following figure, using block diagram reduction method.

List the features of transfer function.

For electrical system shown in the following figure, obtain transfer function.

Construct mathematical model for the mechanical system shown in the following figure. Then draw electrical equivalent circuit based on F-V analogy.

What are the properties of good control system?.

Obtain the state model for the electrical system given in Fig. Q8(b) choosing the state Variables as i₁.(t), i₂(t) and Vc (t) 

Find the transfer function for a system having state model as given below: