1415 S1 MST.pdf - SINGAPORE POLYTECHNIC ET0048/ET0163...

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SINGAPORE POLYTECHNIC ET0048/ET0163 2014/2015_S1(MST) Page 1 of 9 2014/2015 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 3 rd 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 6 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 2014/2015_S1(MST) Page 2 of 9 L APLACE T RANSFORM T ABLE AND T HEOREM F(s) f(t) Name Theorem 1 1 Unit-impulse, (t) 1 Definition 2 Unit-step, u(t) 2 Linearity theorem 3 Unit-ramp, t 3 Linearity theorem 4 4 Initial value theorem 5 5 Final value theorem F ORMULA F OR D YNAMIC S YSTEM P ERFORMANCE F IRST O RDER S YSTEM Unit step response Unit ramp response S ECOND ORDER SYSTEM % Max. Peak M p Rise time t r Peak time t p Settling time t s 5% 2% S TEADY - STATE ERROR G(s) forward path transfer function H(s) feedback path transfer function PID Math Equations Transfer Function Z IEGLER -N ICHOLS T UNING R ULE P Type k p T i T d PI P 0.5k u 0 PD PI 0.45k u T u 0 PID PID 0.6k u 0.5T u 0.125T u ) s ( F )] t ( f [ L s 1 ) s ( kF )] t ( kf [ L 2 s 1 ) s ( F ) s ( F )] t ( f ) t ( f [ L 2 1 2 1 a s 1 at e ) s ( sF lim ) 0 ( f s ) a s ( s 1 ) e 1 ( a 1 at ) s ( sF lim ) ( f 0 s
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