1314 S1 MST.pdf - SINGAPORE POLYTECHNIC ET0048/ET0163...

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SINGAPORE POLYTECHNIC ET0048/ET0163 2013/2014_S1(MST) Page 1 of 10 2013/2014 SEMESTER ONE MID-SEMESTER TEST Diploma in Electrical and Electronic Engineering 3 rd Year FT Diploma in Electrical and Electronic Engineering 4 th Year EO Diploma in Mechatronics and Robotics 3rd Year FT SYSTEMS AND CONTROL Time Allowed: 1.5 Hours Instructions to candidates: 1. The examination rules set out on the last page of the answer booklet are to be complied with. 2. This paper consists of TWO sections: Section A - 10 Multiple Choice Questions, 3 marks each. Section B - 5 Short Questions, 14 marks each. 3. ALL questions are COMPULSORY . 4. All questions are to be answered in the answer booklet. 5. The examination paper consists of a total of 7 pages. 6. A Laplace transform table and formula for dynamic system performance are given on page 2.
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SINGAPORE POLYTECHNIC ET0048/ET0163 2013/2014_S1(MST) Page 2 of 10 L APLACE T RANSFORM T ABLE AND T HEOREM F(s) f(t) Name Theorem 1 1 Unit-impulse, (t) 1 Definition ) s ( F )] t ( f [ L 2 s 1 Unit-step, u(t) 2 Linearity theorem ) s ( kF )] t ( kf [ L 3 2 s 1 Unit-ramp, t 3 Linearity theorem ) s ( F ) s ( F )] t ( f ) t ( f [ L 2 1 2 1 4 a s 1 at e 4 Initial value theorem ) s ( sF lim ) 0 ( f s 5 ) a s ( s 1 ) e 1 ( a 1 at 5 Final value theorem ) s ( sF lim ) ( f 0 s F ORMULA F OR D YNAMIC S YSTEM P ERFORMANCE F IRST O RDER S YSTEM 1 Ts 1 ) s ( R ) s ( C Unit step response Unit ramp response T / t e 1 ) t ( c ) e 1 ( T t ) t ( c T / t S ECOND ORDER SYSTEM 2 n n 2 2 n s 2 s ) s ( R ) s ( C  % Max. Peak M p Rise time t r Peak time t p Settling time t s % 100 x e M 2 1 p  2 n 1 r 1 cos t
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