EE413, Homework 2 Do problems 3.6 & 3.7 in the text.
1000
3.6 The read arm on a computer disk drive has the transfer function: G ( s ) = 2 s Design a digital controller that a bandwidth of 100 Hz and a phase margin of 50. Use a sample rate of 6 kHz. 3.7 For the plant: a) b) c)
G ( s) =
1 s2
Design a continuous compensation so that the closed-loop system has a rise time tr<1 sec and overshoot < 15% to a step input command, Revise the compensation so the specifications would still be met if the feedback was implemented digitally with a sample rate of 5 Hz, and Find difference equations that will implement the compensation in the digital computer.