Assignment Final

1. For the control system shown, design a compensator such that the dominant closed loop poles are located at s=-1+j1. Determine also the unit step and unit ramp responses of the uncompensated and compensated systems.

2. Write a program for the unity feedback system with

So that the value of gain K can be input. Display the bode plots of a system for the input value of K. determine and display the gain and phase margin for the input value of K.

3. For the system shown, design a compensator such that the dominant closed loop poles are located at s=-2±j√3. Plot the unit step response curve of the design.

4. A unity feedback control system is defined by the following feedforward transfer functiona. Determine the location of the closed loop pole if the valude of gain is equal to 3b. Plot the root loci for the system using MATLAB

5. Given the unity feedback system do the followinga. Use frequency methods to determine the value of gain K to yield a step response of 15%

overshoot. Make any required second order-approximationb. Use MATLAB to test your second order approximation by simulating the system for your

designed value of K.

6. Magnetic levitation systems are now used to elevate and propel trains along tracks. A diagram of a demonstration magnetic levitation system is shown in 2(a). Action between a permanent magnet attached to the ping pong ball, the object to be levitated, and an electromagnet provides the lift. The amount of elevation can be controlled through Va applied to the electromagnet as shown. The elevation is controlled by using a phot0-detector pair to detect the elevation of the ping-pong ball. Assume the elevation control system is represented by 2(b) and do the following:

a. Design a compensator, Gc(s), to yield a settling time of 0.1 second or less if the step response is to have no more than 1% overshoot. Specify the compensator’s poles, zeros and gain

b. Cascade another compensator to minimize the steady-state error and have the total settling time to exceed 0.5s. This compensator should not appreciable affect the transient response designed in 2(a). specify the poles and zeros of this compensator

c. Use MATLAB to simulate the system to check your design.

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MOTOR

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CONTROL SYSTEMS ASSIGNMENT1. GROUPS HAVE BEEN ALLOTTED ACCORDING TO THE MAILS

SENT TO ME. CLARIFICTIONS WILL BE DONE ONLY IN THE LECTURE CLASS.

2. EACH GROUP WILL DO TWO PROBLEMS IN MATLAB.3. A VIVA FOR THE SAME WILL BE CONDUCTED FROM

20NOVEMBER 2012. (SCHEDULE WILL BE PUT UP LATER)4. WHEN STUDENTS COME FOR VIVA THEY HAVE TO COME

WITH THEIR GROUP.5. A SMALL WRITE-UP ABOUT THE CONCLUSIONS DRAWN FOR

THE QUESTIONS ALLOTTED AND THE MATLAB SIMULATIONS SHOULD BE PRESENTED DURING THE VIVA.

6. THE WHOLE EXERCISE IS FOR 30MARKS7. QUESTION ALLOTMENT

a. GROUP 1-12: Q1 AND Q6b. GROUP 13-24:Q2 AND Q7c. GROUP 25-36: Q3 AND Q8d. GROUP 37-48: Q4 AND Q9e. GROUP 49-65: Q5 AND Q10