ENAE12003 – Control Technology Assignment 1 Sanath Alahakoon School of Engineering & Technology ENAE12003 – Control Technology Assignment 1 – 25 Marks NOTE: This assessment carries 25% of the final unit total. Each question will be marked out of 20 and the total will be scaled to a mark out of 25. Students need to score more than 40% (10/25) to pass this assessment item Our specified software (in case needed) used in this course is Matlab/SIMULINK. You can access Matlab/SIMULINK through the virtual desktop from the link anydesk.cqu.edu.au . Please log on with your CQUniversity student log in. 1. Draw a block diagram for the elementary speed control system (velocity servomechanism) given by the following schematic diagram shown in Figure Q1. Figure Q1 2. Obtain the transfer function of the following differential equation given that all initial conditions are zero. 2 2 ( ) ( ) ( ) 5 3 4 ( ) 3 7 ( ) d y t dy t y t dx t x t dt dt dt − + = − 3. Obtain the differential equation relating the input x(t) and output y(t) related by the following transfer function; 2 ( ) 2 ( ) 2 7 Y s s X s s s + = + − 4. Solve the following differential equations using Laplace transform. Assume that the initial conditions are zero and also assume that the input signals are zero prior to t = 0 s. (a) dy t ( ) 7 ( ) 5 ( ) y t u t dt + = Amplifier Generator Motor Prime MoverENAE12003 – Control Technology Assignment 1 Sanath Alahakoon (b) dy t ( ) 7 ( ) 5cos 2 y t t dt + = (c) 2 2 ( ) ( ) d y t dy t 6 8 ( ) 3 ( ) y t u t dt dt + + = 5. Find the transfer function, G s V s V s ( ) ( ) ( ) = L for each of the networks shown in Figure Q5. Assume zero initial conditions. Figure Q5 6. Reduce the following block diagram in Figure Q6 to a single transfer function. Figure Q6 7. Reduce the following block diagram in Figure Q7 to a single transfer function ( ) ( ) R s C s 2s s s 2 s + + + - - R(s) C(s) 1s Figure Q7 Y A B E C R + – + + D F + –