Assignment 2 Solutions

# Assignment 2 Solutions - θ o θ i Bonus Problem 0.4 –...

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ENGR 3350U Control Systems Instructor: Prof. Ebrahim Esmailzadeh TA: Masoud Ansari ASSIGNMENT # 2 1) Solve the following problems from the textbook “Modern Control Systems 11th Edition, by R.C. Dorf and R.H. Bishop” E2.9 (Page 121), E2.28 (Page 125), and the Design Problem DP2.1 (Page 139). (0.4% each) 2) The poles, zeros and gain K of the transfer function G ( s ) are given below. Determine the function G ( s ) in its simplest form. (0.2% each) 1. Two complex poles at –1 + 2 j and –1 – 2 j , and a zero at – 1 with K = 12. 2. Three poles at – 2, – 4, and – 8 with one zero at – 1. K = 10. 3) Using Laplace transform and MATLAB, solve the following ordinary differential equation with zero initial conditions. (0.4%) 2 1.75 7 3 t x x x = + + ± ± ± 4) Simplify the block diagram shown below with the use of Table 2.6 (Page 73) and obtain the closed–loop transfer function

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Unformatted text preview: θ o / θ i ( Bonus Problem 0.4%). – Due by 5:00 PM on Tuesday October 2, 2007 in the drop box #9. • If you are not in campus you could send your assignment by E-mail with attachment. No late assignments will be accepted. • The solutions to the assigned problems will be posted on the WebCT after 5 pm on the day when the assignments are due. Important Notes: • The students are encouraged to study the course materials before solving the problems. • Solutions to the problems must be written clearly and completely with this page attached as the cover page. ( Print your name ) • Problems solved by MATLAB must be shown in full with the steps taken. Last Name First Name ID # Solutions to Assignment # 2 One zero at -1, (s + 1) in the numerator Two complex poles, (s + 1 – 2 j ).(s + 1 + 2 j ) in the denominator 4. Simplify the block diagram shown below:...
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Assignment 2 Solutions - θ o θ i Bonus Problem 0.4 –...

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