EG243 Control Systems 07 paper

# EG243 Control Systems 07 paper - PRIFYSGOL CYMRU ABERTAWE...

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Page 1 of 7 PRIFYSGOL CYMRU ABERTAWE UNIVERSITY OF WALES SWANSEA School of Engineering TEACHING BLOCK 2 EXAMINATIONS JUNE 2007 EG-243 CONTROL SYSTEMS LEVEL 2 Calculators permitted: the calculator must not contain any user-recorded data or program and must be incapable of electronic communication Translation dictionaries are not permitted, but an English dictionary may be borrowed from the invigilator on request. Time allowed: 2 hours Answer Question 1 and TWO other questions T URN O VER

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1. Attempt all parts For Question 1 parts (a), (b) and (c) assume a control system with negative feedback, H(s), and an open loop transfer function, GH(s), given by: ( 29 ) 5 ( ) 2 )( 1 ( ) 10 ( 2 + + + + = s s s s K s GH (a) Derive the closed loop steady state error for (i) a unit step input (ii) unit ramp input. Assume H(s) =1 and K = 4. [5 marks] (b) Derive the system closed loop frequency response as 0 ϖ . Assume H(s) =1 and K = 4. [4 marks] (c) Give an expression for the closed loop system impulse response, c(t), when K is just above zero. Numerical values for the expression coefficients are not required. [5 marks] (d) The open loop transfer function of a negative feedback control system is given by: ( 29 . ) 10 ( ) 1 )( 4 ( 2 + + + = s s s s K s GH Sketch the root locus for the system indicating points on the loci when K = 0. Comment on the nature of the system output as K increases. [5 marks] (e) For the control system in Figure 1(e) derive the close loop transfer function, C(s)/R(s). [6 marks]
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EG243 Control Systems 07 paper - PRIFYSGOL CYMRU ABERTAWE...

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