1 00:00:17,296 --> 00:00:19,170 STEVEN HALL: The first problem is right here. 2 00:00:19,170 --> 00:00:21,310 I'm going to give you a chance to practice 3 00:00:21,310 --> 00:00:24,730 doing a proportional derivative controller. 4 00:00:24,730 --> 00:00:27,580 And I've actually written the specifications directly 5 00:00:27,580 --> 00:00:30,740 in terms of phase margin and crossover frequency. 6 00:00:30,740 --> 00:00:32,439 So you can either imagine that that's 7 00:00:32,439 --> 00:00:34,960 the way the specifications are given 8 00:00:34,960 --> 00:00:38,560 or that we started with a rise time and peak overshoot 9 00:00:38,560 --> 00:00:40,090 and derived these. 10 00:00:40,090 --> 00:00:43,540 So your goal is to design a k of s that 11 00:00:43,540 --> 00:00:46,450 meets these specifications. 12 00:00:46,450 --> 00:00:50,020 So if everyone could please, form up in groups of two 13 00:00:50,020 --> 00:00:51,830 around the room as usual. 14 00:00:51,830 --> 00:00:54,400 I'm Steve Hall, I'm the instructor 15 00:00:54,400 --> 00:00:58,600 of 1606, which is Principles of Automatic Control. 16 00:00:58,600 --> 00:01:01,660 It's a junior level classical control 17 00:01:01,660 --> 00:01:04,629 class, which I've been teaching for about six years. 18 00:01:04,629 --> 00:01:08,230 So recitations in 1606 are a little different than most 19 00:01:08,230 --> 00:01:10,090 recitations at MIT. 20 00:01:10,090 --> 00:01:12,610 In most recitations, the instructor 21 00:01:12,610 --> 00:01:18,040 would present a series of problems maybe related 22 00:01:18,040 --> 00:01:22,030 to the homework, just to give examples of how 23 00:01:22,030 --> 00:01:23,620 the problem should be worked. 24 00:01:23,620 --> 00:01:27,270 Sometimes they might have students try some themselves. 25 00:01:27,270 --> 00:01:29,290 In my recitations, it's much more active. 26 00:01:29,290 --> 00:01:35,540 Students are always standing up, we work at the board, 27 00:01:35,540 --> 00:01:37,120 usually in groups of two. 28 00:01:37,120 --> 00:01:41,500 So there might be 10 groups of two 29 00:01:41,500 --> 00:01:43,900 spread around the room, each group of two 30 00:01:43,900 --> 00:01:45,260 working at a board. 31 00:01:45,260 --> 00:01:50,140 A blackboard, a whiteboard, could be a poster board. 32 00:01:50,140 --> 00:01:53,280 They're working problems and the TA 33 00:01:53,280 --> 00:01:56,830 and I are walking around and helping when we can, 34 00:01:56,830 --> 00:01:58,690 answering questions when students 35 00:01:58,690 --> 00:02:01,030 have them, and generally just coaching, 36 00:02:01,030 --> 00:02:03,790 trying to help the students understand what they're doing 37 00:02:03,790 --> 00:02:04,780 and solve the problems. 38 00:02:04,780 --> 00:02:06,670 It really is a chance for students 39 00:02:06,670 --> 00:02:10,139 to understand what they know and what they don't know 40 00:02:10,139 --> 00:02:13,117 and to exercise the skills that they've learned in the class. 41 00:02:13,117 --> 00:02:14,950 And if they have problems with those skills, 42 00:02:14,950 --> 00:02:18,840 it's a chance for me to help them learn them better.