Department of Systems and Computer Engineering
SYSC4505 Automatic Control Systems
December 1 2008
Homework 4 solutions are
We will have a review class on
Saturday at 10:30am in our regular class! Dont miss it!
Also there is a discrepancy regarding the problem numbers for
assignment 3 between the 3d and the 4th edition of the text. If
you have the 3d edition please download the pdf file containing the 4th
Some comments added to the assignment 3 solutions. Please read them.
Assignment 4 is posted and Due on December 1 at
Lab 4 will take place on
Tuesday Nov. 18 and Thursday
Nov. 20 in
Here is a file
the you will need for the lab
Solutions for assignment 3 are posted.
exam and its solution
is out due on Nov. 14.
Solutions for second
are now posted in the Homeworks
Second homework was given in
class and will be collected on Oct. 28 Saturday
Oct. 25 at midnight (slide it under my door in ME 4442). Solutions will
immediatelly after! We agreed on this in order to have enough time to
study the solutions for the exam!
Homework solutions can be found in the Homeworks
Here is the quiz
and its solution
Goal of the course and Prerequisites: The objective of
the course is to teach the student the fundamental concepts of control
systemdesign and analysis. The course reviews linear systems theory and
presents how linear systems theory is used to both specify performance
requirements and how to design the control system. A number of
electromechanical examples are used to illustrate control system
analysis and design.
Here is a good introductory
paper on feedback!
have problems with Laplace transforms and their inversion! Here is an
example of the
partial fraction expansion for a transfer function with multiple
We will soon
need log paper here are some resources to use with your computer: Log
Homework 1 and its solution
2 and its solution
will be posted on Saturday oct. 25
night. As agreed in class homework 2 is due on Saturday 25 midnight in
order to get the solutions and study them for the exam! Please note that this solution was
updated on Monday 27 2008 since the old solution had some minor errors
in the final calculations of problem 5
Homework 3:(Note that the problem numbers maybe
somewhat different in the 3d edition of the textbook. If you have
the third edition please click on
to get the correct homework assignment)
following problems from Chapter 6 (page 413): B-6-9, B-6-12, B-6-14,
B-6-15, B-6-17. Due date is Friday
Nov. 14 at noon
(slide them under my office door at ME4442)
its solution with some extra comments
that the problem numbers maybe somewhat different in the 3d edition of
the textbook. If you have
edition please click on the link
to get the correct homework assignment)
following problems from Chapter 8: B-8-1, B-8-7, B-8-11, B-8-15,
B-8-27, B-8-29, B-8-35
I suggest that you try to plot some Bode diagrams using the piecewise
approximations we did in class. Also you can verify with Matlab by
Also do the following problems from Chapter 7 (will cover the
design topic in time!): B-7-9, B-7-12
Homework is due on
December 1 at 12 noon so that solutions will be posted and you
will have enough time to read for the exam!
Homework 4 solution
Your cell phone
operation depends heavily on an oscillator that can produce a variety
of frequencies that are equally spaced. These are center frequencies of
The system that generates these
frequencies is called Phase Locked Loop (PLL). Its a control system
that not only has wide applicability but also it can be an excellent
topic to understand modern control system
This is a project that can be done on
a voluntary basis. It will provide 10% towards your final grade. Deadline is December 15 2008!
Design an oscillator that will be based on a PLL system and produce a
clean sinusoidal output for the following frequencies: Fl(n) =
640 + 0.2 (n) MHZ for n=1,2...124. In this way we create 124
discrete frequencies for a Local Oscillator for a GSM receiver
operating in the 880Mhz band and having an Intermediate frequency of
240Mhz. Design a PLL that will have a loop bandwidth of 10Khz and
optimize it in terms of lock in time and overshoot as you scan
into different frequencies. You may wish to investigate the issue of
phase noise, its origin, implications and methods for reduction. You
can model the PLL as a closed loop feedback system with a first or
second order filter after the phase comparator. Please include only
passive filters in your analysis ( i.e. no opamps). The analysis should
mainly focus on the control system aspect however, it will be nice
ifyou select a PLL chip for Analog Devices or National
semiconductors and do a realistic design. For a voltage controled
oscillator I would
Feel free to propose your ideas for design.
Some references are as follows:
Feel free to visit the Analog
Devices page for PLL design.You may try their SIMPLL software which is free
and happens to be an excellent design tool.
Also check the following tutorial
paper from Analog Devices. Search the site for Part 2 and Part 3 of
a paper series on PLL's these are very interesting.....
Another very good site is National
Semiconductors. You may wish to check this paper first.
You can find lots of additional papers and also a book
I recommend highly) by Dean Banerjee on PLL's
at this site! There is also online tools for PLL design.
Here is a good paper on PLL
fundamentals from minicircuits
Lots and lots of excelent information on
PLLs at http://www.circuitsage.com/pll.html.
You may spend lots of hours/days examining the material in this page....