2018-exam-ufmfw7153_1705334350877.pdf

School
Indian Institute of Information Technology, Surat*
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ECEN 350
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Feb 10, 2024
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2018-exam-ufmfw7153_1705334350877.pdf

School
Indian Institute of Information Technology, Surat*
*We are not endorsed by this school
Course
ECEN 350
Pages
8
Upload Date
Feb 10, 2024
Uploaded by family7482please on coursehero.com
UFMFW7-15-3 Page 1 of 8 Faculty of FET Academic Year: 17/18 Examination Period: January Module Leader: Quan Zhu Module Code: UFMFW7-15-3 Module Title: CONTROL SYSTEMS DESIGN Duration: 2 Hours Standard materials required for this examination: Examination Answer Booklet Yes Multiple Choice Answer Sheet No Graph Paper Type of paper e.g. G3, G14 N/A Number of sheets per student 0 Additional materials required for this examination: Details of additional material supplied by UWE Bristol : To be collected with Answer Booklet (please delete as appropriate) No Details of approved material supplied by Student : To be collected with Answer Booklet (please delete as appropriate) No University approved Calculator Yes Candidates permitted to keep Examination Question Paper Yes Candidates are NOT permitted to turn the page over until the exam starts
UFMFW7-15-3 Page 2 of 8 Instructions to Candidates: Answer ONLY FOUR questions from SIX. All questions carry EQUAL marks. SECTION A 1. Question [Total Marks 25] Analysing performance of RLC electronic circuits has been a common R&D work. The tasks for this particular exercise are specified below. a) By Kirchhoff's voltage law, the input -output dynamic model has been determined with the following equation. 2 2 o o o i d e de LC RC e e dt dt The remaining work is to apply Laplace transform to determine the model transfer function, and then formulate the undamped nature frequency and damping ratio in terms of L , R , and C with reference to the standard 2 nd order transfer function 2 2 2 ( ) ( ) 2 o n o n n E s E s s s  . [6 marks] b) While L =1, R =3, and C =0.5, determine the system output time response to a unit step input, by inverting the output transfer function with reference to the following formula or any other approaches you are familiar with. [8 marks] i s s st m i m m st e s F s s ds d m e s F s s F L t f ) ( ) ( ! 1 1 ) ( Re ) ( ) ( 1 1 1 c) While L =1, R =3, and C =0.5, find poles and zeros and show their positions on S plane. Then analyse the system stability. [6 marks] d) With reference to the final theorem lim ( ) lim ( ) t f t s sF s  0 , termine the system output steady state response to a unit step stimulation. [5 marks]
UFMFW7-15-3 Page 3 of 8 2. Question [Total Marks 25] A complicated electrical dynamic system model has been identified as 2 4 3 2 0.8( 0.421 0.889) ( ) 1.326 1.219 1.096 0.015 s s G s s s s s The tasks to analyse the system are specified below a) Determine the dynamic model order, numbers of zero and pole. [3 marks] b) Determine its characteristic equation. [3 marks] c) Refer to the procedure to build up Routh Array in a data sheet at the back of the paper, built up Routh array with reference to the formulation procedure attached at the end of the question. [9 marks] d) Determine the system stability. [5 marks] e) Sketch the system response under a small disturbance. [5 marks]
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