Office Hours:
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Days | : Mondays and Thursdays
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Time | : 1:00pm - 2:00pm
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Location | : On line
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- Assignement problems (from section B of the textbook) will be posted here.
- Completed assignments should be submitted using UVic's Brightspace site by 6pm the date they are due.
Watch an example of assignment submission.
- Solutions to the assignments will be posted here.
Assignment #1 (REVISED:Due Tuesday, Jan 25)
Problem: Consider the unity negative feedback system with
G(s)=20*K/[s(s+1)(s+20)].
1. Sketch the root locus.
2. Find Kv.
3. Sketch Bode and Nyquist plots.
4. Find K so that zeta=sqrt(2)/2 for the closed loop system.
5. Find phase and gain margins for this K.
6. Sketch the step and ramp responces of the closed loop system for this K.
7. Discuss the connection between Kv, zeta, margins and the responce of the closed loop system.
For the solution in pdf format, Click here.
Assignment #2 (Due Tuesday, February 1) :
Questions B-2-7, B-2-12, B-2-17 from the textbook.
For the solution in pdf format, Click here.
Assignment #3 (Due Friday, February 8) :
- Problem 1: Sample the two signals
x1(t)=sin(2*pi*3*t) and x2(t)=sin(2*pi*0.3*t)
with sampling period T=0.2.
Sketch the spectrum of the continuous signal, the spectrum of the
sampled one and the reconstructed signal
obtained by ideal lowpass filtering of the sampled signal.
Confirm your results with Matlab. For a .m file, Click here.
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Questions B-3-4, B-3-6, B-3-7, B-3-15, B-3-19 from the textbook.
For the solution in pdf format, Click here.
Assignment #4 (Due Tuesday, February 15) :
Questions B-3-20, B-4-4, B-4-8, B-4-12 from the textbook.
For the solution in pdf format, Click here.
Assignment #5 (Due: Friday, March 4)
Study Examples 7.26 and 7.27 form K. Ogata, "Modern Control Engineering"
and Example 4-12 from K. Ogata, "Discrete Time Control Systems".
The .m files ex_4_12.m, lead_c.m, lag_c.m and ex_4_12.out are helpful for this.
Solve questions B-4-10 (Use PI control) and B-4-15 from the textbook.
The .m files ass_5.m, lead_c.m, lag_c.m, and ass_5.out are helpful for compensator design B-4-15.
For the solution of B-4-10 and B-4-15 in pdf format, Click here.
Assignment #6 (Due Wednesday, March 16) :
Questions B-5-4, B-5-5, B-5-8 (except the dagonal form) and B-5-15 from the textbook.
For the solution in pdf format, Click here.
Assignment #7 (Due Friday, March 25) :
Questions B-5-18, B-5-22, B-6-1, B-6-3 and B-6-5 from the textbook.
For the solution in pdf format, Click here.
Assignment #8 (Due Thursday, March 31):
Questions B-6-11, B-6-12 from the textbook.
Determine the feedback gain matrix for the model of B-6-11 so that
the closed loop system has settling time of 2sec and overshoot of 18% (T=0.1).
For the solution of Ass #8 in pdf format, Click here.
Assignment #9 (Due Thursday, April 7) :
Question B-6-17 from the textbook (Compare Fig. 6-24 with figure in slide B68).
Design a full order prediction observer with deadbeat response for the system of Question B-6-13 in the textbook.
For the solution of Ass #9 in pdf format, Click here.
Copies of the lecture slides (in pdf format) are available here for downloading.
Course Lecture Notes
Unless otherwise noted, all course materials supplied to students in this course have been prepared by the instructor and are intended for use in this course only. These materials are NOT to be re-circulated digitally, whether by email or by uploading or copying to websites, or to others not enrolled in this course. Violation of this policy may in some cases constitute a breach of academic integrity as defined in the UVic Calendar.
1. Required
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Title | : Discrete Time Control Systems, 2nd Edition
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Author | : K. Ogata
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Publisher | : Prentice-Hall
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Year | : 1995
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2. Recommended
3. For information on Matlab available at UVic computers see here
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Assignments | : 5%
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Mid-term | : 35% Monday, February 28
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Final | : 60%
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The final grade obtained from the above marking scheme for the purpose of GPA calculation will be based on the percentage-to-grade point conversion table as listed in the current Undergraduate Calendar.
Assignment of E grade and supplemental examination for this course will be at the discretion of the Course Instructor.More information and links to the detailed policies can be found in the course outline.
Information and links to the detailed policies can be found in the course outline.
The University of Victoria is commited to promoting, providing and
protecting a positive, supportive and safe learning and working
enviromrnt for all its members.
More information and links to the detailed policies can be found in the course outline.
You are advised to read the Faculty of Engineering Standards for
Professional Behaviour which
contains important information regarding conduct in courses, in labs and in the general use of facilities.
More information and links to the detailed policies can be found in the course outline.
Continuously modified: January-April, 2022.