Written Exam Modern Control Systems (Et 3-015)
On Wednesday the 3rd of November 1999 from 14:00 PM to 17:00 PM
Read the following VERY carefully. The exam is composed of 2 Parts: theory and exercises. The rst part is WITHOUT any books or notes and it will
And therefore K= Check: (det[sI - F + GK]) = det sI - 0 1 1 3 3 -1 0 -1 3 0 9 12 = -3 -4 = s2 + 2s + 4
2 4 -3 -4
2. Calculate the estimator for the system. The poles of the dynamics of the estimation error should be chosen in 1 = -2 ,2 = -4. Due to the as
Written Exam Control Systems 1 (Et 3-101)
On Tuesday the 29th of October 2002 from 9:00 to 12:00
Read the following VERY carefully. The exam consists of 6 pages with 5 exercises. You are only allowed to use the BOOK and a CALCULATOR. NEVER talk with your
Part I: theory
(Closed Book)
Question 1
Given: The transfer function of a system G(s) is: G(s) = (s + 2) (s + 1) (3s + 1)
(weight:2)
Asked: 1. Sketch the Nyquist plot of G(s) (Be precise about the shape of the Nyquist plot around the origin !) 2. Give the
Part I: theory
(Closed Book)
Question 1
(weight:2)
Let the stable nominal loop transfer function be given by , and the loop transfer function of the perturbed system by . Assume the nominal stable loop transfer function leads to a stable closed loop. Show
Question 3
The input of the system illustrated below is the force F applied to the mass m1 . x1 F k m1 b1 m2 b2 m3 x2 x3
The system is composed of three masses m1 , m2 and m3 , two dampers b1 , b2 and a spring k. The energy stored in the spring k is equal
Written Exam Modern Control Systems (Et 3-015)
On Wednesday the 1st of November 2000 from 2:00 PM to 5:00 PM
Read the following VERY carefully. The exam is composed of 2 Parts: theory and exercises. The first part is WITHOUT any books or notes and it will
Part I: theory
(Closed Book)
Question 1
Given: Consider a linear, time invariant, strictly stable, system U (s) G(s) Y (s)
(weight:3)
?
with transfer function G(s). Suppose to supply as an input a sinusoidal input equal to: u(t) = M sin t of magnitude M >
Cal Poly > EE 302 > HW1_solution (2008-04-07 15:25:12)
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Cal Poly > EE 302 > HW1_solution (2008-04-07 15:25:12)
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Cal Poly > EE 302 > HW1_solution (2008-04-07 15:25:12)
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Errata in EE 302 Lecture Notes Page 41x, the missing equation is:
Page 44x, the missing equations are:
Thus, for So,
Page 35, the missing equation is:
1
Page 47 to 48, the missing derivation is:
G s 1 G s 1 G s 1 G GH GH 1 G GH 1
G s GH 1 G 1 GH 1 G