UCSI University Midterm Examination Name: ……………………….. EE406 Control Systems Instructor : Mohd Sulhi bin Azman Friday 15 June 2012 3 hours

Instructions

This is an OPEN-BOOK examination. Answer ALL questions and SHOW ALL workings.

Question 1 (a) Discuss on the necessity of feedback in engineering systems. Provide some concrete examples to justify your argument.

(b) Your mother really loves to bake a cake, especially during important family occasions such as birthdays etc. One fine day, you wish to teach your mother the basic principle of operation of an electric oven that is in your home. Help your mother to understand the basic operational concept of the oven by sketching a block diagram showing important features such as the input, the output and the feedback. Provide also some notes (point form) to help your mother in understanding your diagram.

Figure 1 : An Electric Oven

[10 marks]

Question 2 A translation mechanical system is shown in Figure 2.

Figure 2

(a) Derive the transfer function 1( )( )in

Y sF s

(b) Next, obtain the state-space representation of this system.

[20 marks]

UCSI University Midterm Examination Name: ……………………….. EE406 Control Systems Instructor : Mohd Sulhi bin Azman Friday 15 June 2012 3 hours

Question 3 An electric circuit is shown in Figure 3. Determine the output voltage ( )Lv t , given that

the driving input voltage is ( ) 12v t V. Assume further that all circuit elements have zero initial conditions.

Hint : derive the transfer function ( )( )

LV sV s

Figure 3 [20 marks]

Question 4 A simple mechanical system is shown in Figure 4(a). A step input force of 8.9 N is being

applied and the corresponding time response is shown in Figure 4(b).

Figure 4(a) : Mechanical System Figure 4(b) : Time Response

Calculate the: (a) mass of the system, M. (b) elastic stiffness of the spring, k. (c) damping coefficient, D.

[10 marks]

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