Department of Electrical and Computer Engineering
ELEC 460 (1 1/2) CONTROL THEORY AND SYSTEMS II
Syllabus:
Sampling in Control Systems. The ztransform and response
between sampling instants. Analysis of sampled data systems and
stability testing. Statespace analysis and design of continuous
and discrete systems. Controllability, observability and zero input
stability analysis. Pole placement techniques.
(Prerequisite: 360)
Click here for the Course Outline document.
Classes:
Mondays and Thursdays, 8:30 9:50 am, COR A129.
Demos:
Demo 1: Thursday, March 1, 2018, 8:30am, ELW A359.
Problem for Demo #1:
Design a digital compensator for an open loop
system G(s)=K/[s(s+a)] with a=3.4, K=120.52, T=0.05495 so that Kv=15 and phase margin > 45 deg.
For copies of the slides in pdf format, Click here.
Midterm:
Monday, February 5, 2018, 8:30 9:45 am, COR A129.
Two pages (a page is one side of a sheet) of notes and copies of tables (2.1 and 2.2) permittted.
For the solution in pdf format, Click here.
Final Exam:
Monday, April 9, 2018, 2:00pm  5:00pm; ECS 116.
Four pages (a page is one side of a sheet) of notes and copies of tables (2.1 and 2.2) permittted.
Office Hours:

Days  : Wednesdays and Fridays


Time  : 11 am  12 noon


Location  : EOW 423

Assignments should be handed
in the drop box in the 2nd floor (next to the elevator) of ELW until 4:30 pm on the due date.
Recorded Assignments can be found in front of EOW 423.
Assignment #1 (REVISED: Due Frday, Jan 19, 2018) :
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 Friday, Jan 26, 2018) :
Questions B27, B212, B217 from the textbook.
For the solution in pdf format, Click here.
Assignment #3 (Due Thursday, February 1, 2018) :
Questions B34, B36, B37, B315, B319 from the textbook.
For the solution in pdf format, Click here.
Assignment #4 (Due Tuesday, February 20, 2018) :
Questions B320, B44, B48, B412 from the textbook.
For the solution in pdf format, Click here.
Assignment #5 (Due: Tuesday, February 27, 2018)
Study Examples 7.26 and 7.27 form K. Ogata, "Modern Control Engineering"
and Example 412 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 B410 (Use PI control) and B415 from the textbook.
The .m files ass_5.m, lead_c.m, lag_c.m, and ass_5.out are helpful for compensator design B415.
For the solution of B410 and B415 in pdf format, Click here.
Assignment #6 (Due Wednesday, March 7, 2018) :
Questions B54, B55, B58 (except the dagonal form) and B515 from the textbook.
For the solution in pdf format, Click here.
Assignment #7 (Due Wednesday, March 14, 2018) :
Questions B518, B522, B61, B63 and B65 from the textbook.
For the solution in pdf format, Click here.
Assignment #8 (Due Frisday, March 23, 2018) :
Questions B611, B612 from the textbook.
Determine the feedback gain matrix for the model of B611 so that
the closed loop system has settling time of 2sec and overshoot of 18% (T=0.1).
Copies of transparencies (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 recirculated 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 
Title  : Discrete Time Control Systems, 2^{nd} Edition


Author  : K. Ogata


Publisher  : PrenticeHall


Year  : 1995

2. Recommended

Assignments  : 5%


Midterm  : 35% Monday, February 5, 2018


Final  : 60%

The final grade obtained from the above marking scheme for the purpose of GPA calculation will be based on the percentagetograde 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. The rules for supplemental examinations can be found in the current Undergraduate Calendar
here.
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protecting a positive, supportive and safe learning and working
enviromrnt for all its members.
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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.
Cheating, plagiarism and other forms of academic fraud are taken very seriously by both the University and the
Department. You should consult here the
UVIC policy on academic integrity.
Continuously modified: JanuaryMarch, 2018.