2.171 Problem Set 6
Assigned: Wed. Nov 1, 2006 Due: Wed. Nov 8, 2006, in class
Problem 1 Suppose we have a plant with the transfer function Gp (z) = (z - 1)3 (z - 0.999)3 (z - 0.99)2
Assume that this plant is in the forward path of a unity-negative-feedba
2.171 Problem Set 4
Assigned: Wed. Oct 4, 2006 Due: Wed. Oct 11, 2006, in class Reading: F,P,&W 5.1, 5.2, 6.1, 6.2, 7.1, 7.2, 7.3, Oppenheim and Wilsky Ch. 7, Notes from class
Problem 1 Oppenheim and Wilsky, Problem 7.29 Problem 2 Oppenheim and Wilsky, Pr
2.171 Problem Set 3
Assigned: Mon. Sept 25, 2006 Due: Wed. Oct 4 , 2006, in class Reading: F,P,&W Ch. 4, starred sections optional; F,P,&W 5.1, 5.2, 5.3 (Sections 5.4 and 5.5 are only of historical interest at this point in time; these techniques are larg
2.171 Problem Set 2 Assigned: Wed. September 13, 2006 Due: Wed. September 20, 2000 Reading: FPW Ch. 4 (starred sections optional)
Problem 1: FPW 4.5 a,b,c Problem 2: FPW 4.6 Problem 3: FPW 4.9 a,b,c Problem 4: FPW 4.11 Problem 5: FPW 4.12 Problem 6: FPW 4
2.171 Problem Set 1 Assigned: Wednesday, September 6, 2006 Due: Wednesday, September 13, 2006 (in class) Reading: Franklin, Powell, and Workman (FPW) Ch 1, Ch 2, Ch. 3
( s) Problem 1: FPW 2.9 a-f (not g) Calculate the transfer function Tc(s) for the compl
2.171 Analysis and Design of Control Systems
Prof. David Trumper
Final Exam
Problem 1: This problem considers a system for which the impulse response h(k) is equal to 1 for N = 0, 1, ., N - 1, and equal to zero elsewhere. That is, h(k) =
N -1 i=0
(k - i)
2.171 Quiz 2 Solutions Problem 1: H(s) = a2 s 2 - a2
a) Calculate the zero order hold equivalent Heq (z). Heq (z) = z - 1 G(s) Zcfw_ z s
G(s) a2 Zcfw_ = Zcfw_ 2 s(s - a2 ) s G(s) A B
= Zcfw_ +
s(s + a) s(s - a) s
Zcfw_
Zcfw_
G(s) 1 a 1 a
= Zcfw_-
2.171
Quiz #2
Nov. 20, 2006
This quiz is open-book. You may also refer to two 8 1/2" by 11" sheets of notes. There is one problem; all seven sections of the problem will count equally. Problem 1 This problem considers a continuous-time system with a trans
2.171
Quiz #1
October 18, 2006
This quiz is open-book. There are four problems, and each is worth 25 points. Problem 1 (25 points): This problem considers six transfer functions. These are H1 (z) = 20(z - 0.95) z-1 z-1 z - 0.9 (1)
H2 (z) =
(2)
H3 (z) =
z